SAMA5 PMECC: Ported Gallois tables

4 files changed, 3256 insertions, 5 deletions

diff --git a/nuttx/arch/arm/src/sama5/Make.defs b/nuttx/arch/arm/src/sama5/Make.defs
index 96be495aa..22161b22d 100644
--- a/nuttx/arch/arm/src/sama5/Make.defs
+++ b/nuttx/arch/arm/src/sama5/Make.defs
@@ -228,16 +228,16 @@ endif
 endif
 
 ifeq ($(CONFIG_SAMA5_EBICS0_NAND),y)
-CHIP_CSRCS += sam_nand.c sam_pmecc.c
+CHIP_CSRCS += sam_nand.c sam_pmecc.c sam_gf512.c sam_gf1024.c
 else
 ifeq ($(CONFIG_SAMA5_EBICS1_NAND),y)
-CHIP_CSRCS += sam_nand.c sam_pmecc.c
+CHIP_CSRCS += sam_nand.c sam_pmecc.c sam_gf512.c sam_gf1024.c
 else
 ifeq ($(CONFIG_SAMA5_EBICS2_NAND),y)
-CHIP_CSRCS += sam_nand.c sam_pmecc.c
+CHIP_CSRCS += sam_nand.c sam_pmecc.c sam_gf512.c sam_gf1024.c
 else
 ifeq ($(CONFIG_SAMA5_EBICS3_NAND),y)
-CHIP_CSRCS += sam_nand.c sam_pmecc.c
+CHIP_CSRCS += sam_nand.c sam_pmecc.c sam_gf512.c sam_gf1024.c
 endif
 endif
 endif
diff --git a/nuttx/arch/arm/src/sama5/sam_gf1024.c b/nuttx/arch/arm/src/sama5/sam_gf1024.c
new file mode 100644
index 000000000..cc3d3c2d7
--- /dev/null
+++ b/nuttx/arch/arm/src/sama5/sam_gf1024.c
@@ -0,0 +1,2119 @@
+/**********************************************************************************************************************************
+ * arch/arm/src/sama5/sam_gf512.c
+ *
+ *   Copyright (C) 2013 Gregory Nutt. All rights reserved.
+ *   Author: Gregory Nutt <gnutt@nuttx.org>
+ *
+ * Taken from Atmel NoOS sample code.  The Atmel sample code has a BSD compatibile license that requires this copyright notice:
+ *
+ *   Copyright (c) 2012, Atmel Corporation
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in
+ *    the documentation and/or other materials provided with the
+ *    distribution.
+ * 3. Neither the names NuttX nor Atmel nor the names of its contributors
+ *    may be used to endorse or promote products derived from this software
+ *    without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+ * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+ * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+ * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
+ * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
+ * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+ * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ *
+ **********************************************************************************************************************************/
+
+/**********************************************************************************************************************************
+ * Included Files
+ **********************************************************************************************************************************/
+
+#include <nuttx/config.h>
+#include <nuttx/mtd/nand_config.h>
+
+#include <stdint.h>
+
+#include "sam_pmecc.h"
+
+#ifndef CONFIG_SAMA5_PMECC_GALOIS_ROMTABLES
+
+/**********************************************************************************************************************************
+ * Public Data
+ **********************************************************************************************************************************/
+
+/* Gallois Field tables for 1024 bytes sectors. First raw is "index_of" and second one is "alpha_to" */
+
+const uint16_t pmecc_gf_1024[2][PMECC_GF_SIZEOF_1024] =
+{
+  /* "index_of" table */
+  {
+    0xffff, 0x0000, 0x0001, 0x0572, 0x0002, 0x0ae4, 0x0573, 0x015b, 0x0003, 0x06cd, 0x0ae5, 0x1ad9, 0x0574, 0x012e, 0x015c, 0x1056,
+    0x0004, 0x15c8, 0x06ce, 0x288d, 0x0ae6, 0x02b6, 0x1ada, 0x06a0, 0x0575, 0x2ed2, 0x012f, 0x0c3f, 0x015d, 0x204b, 0x1057, 0x3812,
+    0x0005, 0x3d84, 0x15c9, 0x0289, 0x06cf, 0x347d, 0x288e, 0x25bd, 0x0ae7, 0x10d1, 0x02b7, 0x3444, 0x1adb, 0x11b1, 0x06a1, 0x109c,
+    0x0576, 0x1c34, 0x2ed3, 0x1b3a, 0x0130, 0x2dff, 0x0c40, 0x2238, 0x015e, 0x0c12, 0x204c, 0x3d67, 0x1058, 0x3f47, 0x3813, 0x0828,
+    0x0006, 0x0d9a, 0x3d85, 0x15d2, 0x15ca, 0x35b2, 0x028a, 0x04ba, 0x06d0, 0x1f3c, 0x347e, 0x1184, 0x288f, 0x02da, 0x25be, 0x302d,
+    0x0ae8, 0x025c, 0x10d2, 0x21a6, 0x02b8, 0x20ac, 0x3445, 0x034f, 0x1adc, 0x27aa, 0x11b2, 0x2bb3, 0x06a2, 0x396d, 0x109d, 0x3371,
+    0x0577, 0x3bd2, 0x1c35, 0x02f7, 0x2ed4, 0x07fb, 0x1b3b, 0x1a8e, 0x0131, 0x2b2f, 0x2e00, 0x0411, 0x0c41, 0x0beb, 0x2239, 0x39ef,
+    0x015f, 0x160e, 0x0c13, 0x0012, 0x204d, 0x363b, 0x3d68, 0x1723, 0x1059, 0x29e8, 0x3f48, 0x1643, 0x3814, 0x39b6, 0x0829, 0x1c07,
+    0x0007, 0x2179, 0x0d9b, 0x2142, 0x3d86, 0x2393, 0x15d3, 0x3f28, 0x15cb, 0x1305, 0x35b3, 0x2f5a, 0x028b, 0x1bb5, 0x04bb, 0x2310,
+    0x06d1, 0x270d, 0x1f3d, 0x1b80, 0x347f, 0x0584, 0x1185, 0x1d8f, 0x2890, 0x1c95, 0x02db, 0x3940, 0x25bf, 0x27e8, 0x302e, 0x3bad,
+    0x0ae9, 0x3ec2, 0x025d, 0x0145, 0x10d3, 0x0869, 0x21a7, 0x3a22, 0x02b9, 0x2000, 0x20ad, 0x22b9, 0x3446, 0x0367, 0x0350, 0x0d6d,
+    0x1add, 0x3f61, 0x27ab, 0x00a3, 0x11b3, 0x3000, 0x2bb4, 0x115d, 0x06a3, 0x10bd, 0x396e, 0x30a1, 0x109e, 0x0983, 0x3372, 0x37ad,
+    0x0578, 0x3048, 0x3bd3, 0x130c, 0x1c36, 0x1b44, 0x02f8, 0x29bb, 0x2ed5, 0x0a2c, 0x07fc, 0x3744, 0x1b3c, 0x11f7, 0x1a8f, 0x3b24,
+    0x0132, 0x359f, 0x2b30, 0x0488, 0x2e01, 0x3cf5, 0x0412, 0x084c, 0x0c42, 0x12ec, 0x0bec, 0x24ae, 0x223a, 0x16f6, 0x39f0, 0x122c,
+    0x0160, 0x38e3, 0x160f, 0x09ac, 0x0c14, 0x03a2, 0x0013, 0x3edf, 0x204e, 0x03e4, 0x363c, 0x2d1c, 0x3d69, 0x3125, 0x1724, 0x14c0,
+    0x105a, 0x1bca, 0x29e9, 0x07ce, 0x3f49, 0x2718, 0x1644, 0x193c, 0x3815, 0x08c1, 0x39b7, 0x35d8, 0x082a, 0x2d6b, 0x1c08, 0x261e,
+    0x0008, 0x2b90, 0x217a, 0x0d46, 0x0d9c, 0x111b, 0x2143, 0x32dd, 0x3d87, 0x2b75, 0x2394, 0x0e33, 0x15d4, 0x3b4a, 0x3f29, 0x3e95,
+    0x15cc, 0x056c, 0x1306, 0x213c, 0x35b4, 0x0d40, 0x2f5b, 0x26e5, 0x028c, 0x1eae, 0x1bb6, 0x327a, 0x04bc, 0x30fc, 0x2311, 0x2c8a,
+    0x06d2, 0x0076, 0x270e, 0x3e55, 0x1f3e, 0x0f1e, 0x1b81, 0x3d2d, 0x3480, 0x0452, 0x0585, 0x1ab7, 0x1186, 0x3dd4, 0x1d90, 0x0914,
+    0x2891, 0x1a32, 0x1c96, 0x2baa, 0x02dc, 0x1be9, 0x3941, 0x3697, 0x25c0, 0x2e82, 0x27e9, 0x0956, 0x302f, 0x328e, 0x3bae, 0x1665,
+    0x0aea, 0x1da5, 0x3ec3, 0x35ba, 0x025e, 0x187e, 0x0146, 0x0f57, 0x10d4, 0x2f2d, 0x086a, 0x3796, 0x21a8, 0x1e5b, 0x3a23, 0x20b6,
+    0x02ba, 0x0097, 0x2001, 0x2366, 0x20ae, 0x3025, 0x22ba, 0x1769, 0x3447, 0x016d, 0x0368, 0x0f9e, 0x0351, 0x3cb6, 0x0d6e, 0x13d5,
+    0x1ade, 0x179e, 0x3f62, 0x072b, 0x27ac, 0x3b66, 0x00a4, 0x1c68, 0x11b4, 0x19c3, 0x3001, 0x185e, 0x2bb5, 0x2a20, 0x115e, 0x2b43,
+    0x06a4, 0x0d33, 0x10be, 0x3b11, 0x396f, 0x09fa, 0x30a2, 0x16ed, 0x109f, 0x0dbe, 0x0984, 0x0242, 0x3373, 0x1d62, 0x37ae, 0x0268,
+    0x0579, 0x2d0e, 0x3049, 0x26eb, 0x3bd4, 0x26b4, 0x130d, 0x0a5e, 0x1c37, 0x049b, 0x1b45, 0x2102, 0x02f9, 0x2c47, 0x29bc, 0x2905,
+    0x2ed6, 0x2882, 0x0a2d, 0x3ac8, 0x07fd, 0x1841, 0x3745, 0x2127, 0x1b3d, 0x35ab, 0x11f8, 0x1877, 0x1a90, 0x34cc, 0x3b25, 0x08a8,
+    0x0133, 0x0120, 0x35a0, 0x0c2e, 0x2b31, 0x04aa, 0x0489, 0x2d5a, 0x2e02, 0x2b20, 0x3cf6, 0x2207, 0x0413, 0x3eb2, 0x084d, 0x1a21,
+    0x0c43, 0x081b, 0x12ed, 0x2c7f, 0x0bed, 0x20f2, 0x24af, 0x03b7, 0x223b, 0x2301, 0x16f7, 0x1760, 0x39f1, 0x2a10, 0x122d, 0x0af6,
+    0x0161, 0x3d1f, 0x38e4, 0x2f61, 0x1610, 0x11ff, 0x09ad, 0x0ef5, 0x0c15, 0x172d, 0x03a3, 0x162f, 0x0014, 0x3613, 0x3ee0, 0x0b0e,
+    0x204f, 0x20a0, 0x03e5, 0x04d4, 0x363d, 0x0615, 0x2d1d, 0x2218, 0x3d6a, 0x16cf, 0x3126, 0x370d, 0x1725, 0x0a24, 0x14c1, 0x3572,
+    0x105b, 0x3d11, 0x1bcb, 0x0435, 0x29ea, 0x06b7, 0x07cf, 0x01b4, 0x3f4a, 0x3f94, 0x2719, 0x11ca, 0x1645, 0x3188, 0x193d, 0x0ddb,
+    0x3816, 0x12df, 0x08c2, 0x1a3f, 0x39b8, 0x284e, 0x35d9, 0x08d9, 0x082b, 0x00ae, 0x2d6c, 0x2572, 0x1c09, 0x282b, 0x261f, 0x2097,
+    0x0009, 0x2609, 0x2b91, 0x1eb4, 0x217b, 0x2e1a, 0x0d47, 0x2d9d, 0x0d9d, 0x3769, 0x111c, 0x0620, 0x2144, 0x2ae4, 0x32de, 0x1447,
+    0x3d88, 0x085f, 0x2b76, 0x1851, 0x2395, 0x1fb1, 0x0e34, 0x0052, 0x15d5, 0x0e4b, 0x3b4b, 0x3ca0, 0x3f2a, 0x1387, 0x3e96, 0x2dc0,
+    0x15cd, 0x02f2, 0x056d, 0x0284, 0x1307, 0x09a7, 0x213d, 0x0140, 0x35b5, 0x0726, 0x0d41, 0x3e50, 0x2f5c, 0x0430, 0x26e6, 0x0c29,
+    0x028d, 0x134d, 0x1eaf, 0x027f, 0x1bb7, 0x068d, 0x327b, 0x36fa, 0x04bd, 0x05e3, 0x30fd, 0x0507, 0x2312, 0x173c, 0x2c8b, 0x1d0b,
+    0x06d3, 0x1e28, 0x0077, 0x0292, 0x270f, 0x34d3, 0x3e56, 0x31a3, 0x1f3f, 0x1467, 0x0f1f, 0x3406, 0x1b82, 0x1a4b, 0x3d2e, 0x1771,
+    0x3481, 0x1080, 0x0453, 0x2c3a, 0x0586, 0x2b16, 0x1ab8, 0x3b85, 0x1187, 0x17ac, 0x3dd5, 0x1c9f, 0x1d91, 0x1ba1, 0x0915, 0x1256,
+    0x2892, 0x3ae4, 0x1a33, 0x1352, 0x1c97, 0x101e, 0x2bab, 0x0f96, 0x02dd, 0x22ec, 0x1bea, 0x1c41, 0x3942, 0x3c7f, 0x3698, 0x3143,
+    0x25c1, 0x389f, 0x2e83, 0x2612, 0x27ea, 0x0a46, 0x0957, 0x090a, 0x3030, 0x278a, 0x328f, 0x1d35, 0x3baf, 0x3982, 0x1666, 0x0b87,
+    0x0aeb, 0x3929, 0x1da6, 0x3280, 0x3ec4, 0x2c5d, 0x35bb, 0x2e59, 0x025f, 0x0fd0, 0x187f, 0x375a, 0x0147, 0x161b, 0x0f58, 0x2c26,
+    0x10d5, 0x2e77, 0x2f2e, 0x3a15, 0x086b, 0x291f, 0x3797, 0x31b9, 0x21a9, 0x0bc5, 0x1e5c, 0x0a0d, 0x3a24, 0x2674, 0x20b7, 0x053f,
+    0x02bb, 0x0e1a, 0x0098, 0x36ff, 0x2002, 0x1ec2, 0x2367, 0x3a3e, 0x20af, 0x0b07, 0x3026, 0x3b1d, 0x22bb, 0x1de9, 0x176a, 0x23fd,
+    0x3448, 0x0d19, 0x016e, 0x2df4, 0x0369, 0x003b, 0x0f9f, 0x078f, 0x0352, 0x2699, 0x3cb7, 0x04fd, 0x0d6f, 0x0bcf, 0x13d6, 0x1db3,
+    0x1adf, 0x1068, 0x179f, 0x1bbc, 0x3f63, 0x1a97, 0x072c, 0x2f82, 0x27ad, 0x357a, 0x3b67, 0x2873, 0x00a5, 0x1cd2, 0x1c69, 0x2404,
+    0x11b5, 0x25fd, 0x19c4, 0x0d8d, 0x3002, 0x31f1, 0x185f, 0x1d25, 0x2bb6, 0x0929, 0x2a21, 0x16de, 0x115f, 0x30ab, 0x2b44, 0x2664,
+    0x06a5, 0x3733, 0x0d34, 0x0692, 0x10bf, 0x11a0, 0x3b12, 0x108c, 0x3970, 0x32cc, 0x09fb, 0x395e, 0x30a3, 0x3d00, 0x16ee, 0x0a1c,
+    0x10a0, 0x1f93, 0x0dbf, 0x2ec6, 0x0985, 0x34dc, 0x0243, 0x0425, 0x3374, 0x052e, 0x1d63, 0x3092, 0x37af, 0x2779, 0x0269, 0x110b,
+    0x057a, 0x0baf, 0x2d0f, 0x3102, 0x304a, 0x12b8, 0x26ec, 0x08e4, 0x3bd5, 0x384f, 0x26b5, 0x315b, 0x130e, 0x1aeb, 0x0a5f, 0x168d,
+    0x1c38, 0x0408, 0x049c, 0x2eb9, 0x1b46, 0x126a, 0x2103, 0x00bd, 0x02fa, 0x01fe, 0x2c48, 0x30e7, 0x29bd, 0x13a5, 0x2906, 0x0ccd,
+    0x2ed7, 0x31fc, 0x2883, 0x050c, 0x0a2e, 0x206a, 0x3ac9, 0x366e, 0x07fe, 0x0ac6, 0x1842, 0x2420, 0x3746, 0x37ec, 0x2128, 0x1218,
+    0x1b3e, 0x238d, 0x35ac, 0x0ade, 0x11f9, 0x26ae, 0x1878, 0x1115, 0x1a91, 0x2c57, 0x34cd, 0x2e14, 0x3b26, 0x3908, 0x08a9, 0x12b2,
+    0x0134, 0x1bd7, 0x0121, 0x04c2, 0x35a1, 0x08af, 0x0c2f, 0x3800, 0x2b32, 0x1dd7, 0x04ab, 0x33f4, 0x048a, 0x0ec8, 0x2d5b, 0x22c2,
+    0x2e03, 0x2414, 0x2b21, 0x1fa4, 0x3cf7, 0x311c, 0x2208, 0x1700, 0x0414, 0x3c09, 0x3eb3, 0x1026, 0x084e, 0x2350, 0x1a22, 0x215b,
+    0x0c44, 0x0eda, 0x081c, 0x05e8, 0x12ee, 0x03c8, 0x2c80, 0x001e, 0x0bee, 0x02a0, 0x20f3, 0x333a, 0x24b0, 0x18dd, 0x03b8, 0x1490,
+    0x223c, 0x0e86, 0x2302, 0x2b9e, 0x16f8, 0x3b7d, 0x1761, 0x0347, 0x39f2, 0x36e0, 0x2a11, 0x09c4, 0x122e, 0x2029, 0x0af7, 0x0fd9,
+    0x0162, 0x07da, 0x3d20, 0x2c90, 0x38e5, 0x390e, 0x2f62, 0x22d4, 0x1611, 0x229d, 0x1200, 0x1330, 0x09ae, 0x07b4, 0x0ef6, 0x1360,
+    0x0c16, 0x3567, 0x172e, 0x12a5, 0x03a4, 0x0084, 0x1630, 0x27d5, 0x0015, 0x1c5f, 0x3614, 0x24ee, 0x3ee1, 0x038a, 0x0b0f, 0x0f6c,
+    0x2050, 0x28ad, 0x20a1, 0x1d10, 0x03e6, 0x0c9d, 0x04d5, 0x3f6e, 0x363e, 0x21da, 0x0616, 0x16ac, 0x2d1e, 0x246b, 0x2219, 0x00d9,
+    0x3d6b, 0x30b5, 0x16d0, 0x047d, 0x3127, 0x34ed, 0x370e, 0x2f92, 0x1726, 0x2f26, 0x0a25, 0x1f35, 0x14c2, 0x1dd0, 0x3573, 0x1460,
+    0x105c, 0x3a9b, 0x3d12, 0x2317, 0x1bcc, 0x3b2c, 0x0436, 0x3f11, 0x29eb, 0x14c9, 0x06b8, 0x3552, 0x07d0, 0x2634, 0x01b5, 0x1df0,
+    0x3f4b, 0x2628, 0x3f95, 0x2943, 0x271a, 0x3f06, 0x11cb, 0x23cd, 0x1646, 0x2950, 0x3189, 0x349f, 0x193e, 0x3d08, 0x0ddc, 0x26c4,
+    0x3817, 0x1947, 0x12e0, 0x1741, 0x08c3, 0x1eea, 0x1a40, 0x0229, 0x39b9, 0x0eb1, 0x284f, 0x06df, 0x35da, 0x1510, 0x08da, 0x2ce1,
+    0x082c, 0x3fa3, 0x00af, 0x0609, 0x2d6d, 0x28d8, 0x2573, 0x2868, 0x1c0a, 0x1cdb, 0x282c, 0x14f4, 0x2620, 0x25f5, 0x2098, 0x3597,
+    0x000a, 0x3b09, 0x260a, 0x2b96, 0x2b92, 0x0512, 0x1eb5, 0x2b67, 0x217c, 0x3623, 0x2e1b, 0x224d, 0x0d48, 0x1a66, 0x2d9e, 0x3ad5,
+    0x0d9e, 0x28fb, 0x376a, 0x0516, 0x111d, 0x0b7b, 0x0621, 0x0976, 0x2145, 0x2dda, 0x2ae5, 0x2982, 0x32df, 0x13f4, 0x1448, 0x2e4a,
+    0x3d89, 0x18bb, 0x0860, 0x1eb9, 0x2b77, 0x1cb3, 0x1852, 0x0dcd, 0x2396, 0x079b, 0x1fb2, 0x15ee, 0x0e35, 0x3e0d, 0x0053, 0x245c,
+    0x15d6, 0x3253, 0x0e4c, 0x2b6b, 0x3b4c, 0x2501, 0x3ca1, 0x1a82, 0x3f2b, 0x1287, 0x1388, 0x1423, 0x3e97, 0x0c51, 0x2dc1, 0x33e5,
+    0x15ce, 0x21a2, 0x02f3, 0x000e, 0x056e, 0x2889, 0x0285, 0x1b36, 0x1308, 0x0484, 0x09a8, 0x07ca, 0x213e, 0x1b7c, 0x0141, 0x009f,
+    0x35b6, 0x2362, 0x0727, 0x3b0d, 0x0d42, 0x2138, 0x3e51, 0x2ba6, 0x2f5d, 0x04d0, 0x0431, 0x1a3b, 0x26e7, 0x3ac4, 0x0c2a, 0x2c7b,
+    0x028e, 0x2c36, 0x134e, 0x260e, 0x1eb0, 0x184d, 0x0280, 0x027b, 0x1bb8, 0x0d89, 0x068e, 0x2ec2, 0x327c, 0x3a11, 0x36fb, 0x2df0,
+    0x04be, 0x1fa0, 0x05e4, 0x2b9a, 0x30fe, 0x2eb5, 0x0508, 0x0ada, 0x2313, 0x293f, 0x173d, 0x0605, 0x2c8c, 0x12a1, 0x1d0c, 0x0479,
+    0x06d4, 0x37c1, 0x1e29, 0x0d4c, 0x0078, 0x3202, 0x0293, 0x2e69, 0x2710, 0x2846, 0x34d4, 0x28d0, 0x3e57, 0x250e, 0x31a4, 0x3e80,
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+    0x2ce5, 0x30cd, 0x155e, 0x113b, 0x1e75, 0x1ca8, 0x3eee, 0x1efa, 0x05b0, 0x3e74, 0x2595, 0x39fd, 0x2b61, 0x1b30, 0x2e63, 0x233c,
+    0x0830, 0x3d49, 0x355d, 0x318e, 0x3d4f, 0x1df6, 0x2b4a, 0x1951, 0x0de8, 0x1d4a, 0x0ecf, 0x1e8c, 0x1d98, 0x2ab5, 0x391d, 0x0596,
+    0x3fa7, 0x3de0, 0x0ea8, 0x3f8b, 0x1316, 0x0e65, 0x2533, 0x065e, 0x138f, 0x3df7, 0x06f7, 0x021e, 0x1f85, 0x3bfc, 0x0777, 0x07a8,
+    0x00b3, 0x0b64, 0x1e01, 0x34a4, 0x03ef, 0x3226, 0x38b1, 0x23ae, 0x3c74, 0x34b3, 0x2fc5, 0x3fcd, 0x1c89, 0x18eb, 0x177d, 0x0654,
+    0x060d, 0x3ced, 0x3efe, 0x31e9, 0x3ab5, 0x09e7, 0x335e, 0x10aa, 0x01d4, 0x3953, 0x29ca, 0x28e8, 0x0044, 0x1835, 0x32f6, 0x33b8,
+    0x2d71, 0x156e, 0x1afe, 0x164b, 0x0836, 0x01bb, 0x266a, 0x1526, 0x3fb3, 0x3b33, 0x36a9, 0x1e93, 0x2d4d, 0x35f6, 0x0db3, 0x3009,
+    0x28dc, 0x2645, 0x3d9c, 0x116d, 0x3300, 0x25d3, 0x1487, 0x2b3a, 0x1803, 0x2a91, 0x3fdc, 0x17b4, 0x38fa, 0x1453, 0x2037, 0x208c,
+    0x2577, 0x0b2f, 0x2a2c, 0x2955, 0x3c96, 0x3cd1, 0x3877, 0x2f6b, 0x1f64, 0x323e, 0x1c80, 0x0b9a, 0x3630, 0x17f2, 0x32b2, 0x3fbc,
+    0x286c, 0x33ff, 0x354b, 0x33ed, 0x373d, 0x117d, 0x1628, 0x378f, 0x2437, 0x0b4e, 0x2c04, 0x0b1b, 0x3491, 0x07c3, 0x29a2, 0x31c2,
+    0x1c0e, 0x2321, 0x296b, 0x0de1, 0x3194, 0x263a, 0x1165, 0x0aad, 0x2972, 0x33d1, 0x0491, 0x2bd2, 0x1ba8, 0x1679, 0x0f8a, 0x1d7b,
+    0x1cdf, 0x2abf, 0x38ed, 0x17c4, 0x0e0b, 0x10f5, 0x36b1, 0x3411, 0x142a, 0x2279, 0x1197, 0x0399, 0x19b5, 0x2912, 0x2927, 0x332e,
+    0x2830, 0x2f10, 0x3820, 0x26c9, 0x1321, 0x1547, 0x19fe, 0x25a5, 0x3e8b, 0x1820, 0x1786, 0x0ce5, 0x1bfb, 0x3864, 0x1ceb, 0x123b,
+    0x14f8, 0x19ce, 0x0647, 0x2e95, 0x18ce, 0x37bd, 0x2259, 0x14da, 0x235e, 0x219e, 0x1f9c, 0x2c32, 0x28f7, 0x3b05, 0x324f, 0x18b7,
+    0x2624, 0x3a97, 0x3f9f, 0x1943, 0x3563, 0x07d6, 0x30b1, 0x28a9, 0x2410, 0x1bd3, 0x0e82, 0x0ed6, 0x0404, 0x0bab, 0x2389, 0x31f8,
+    0x25f9, 0x1064, 0x1f8f, 0x372f, 0x2e73, 0x3925, 0x0d15, 0x0e16, 0x107c, 0x1e24, 0x389b, 0x3ae0, 0x085b, 0x2605, 0x1349, 0x02ee,
+    0x209c, 0x3d1b, 0x12db, 0x3d0d, 0x287e, 0x2d0a, 0x0817, 0x011c, 0x0093, 0x1da1, 0x0d2f, 0x179a, 0x0568, 0x2b8c, 0x1a2e, 0x0072,
+    0x359b, 0x3044, 0x1bc6, 0x38df, 0x2709, 0x2175, 0x3f5d, 0x3ebe, 0x0258, 0x0d96, 0x160a, 0x3bce, 0x15c4, 0x3ffb, 0x1c30, 0x3d80
+  },
+
+  /* "alpha_to" table */
+
+  {
+    0x0001, 0x0002, 0x0004, 0x0008, 0x0010, 0x0020, 0x0040, 0x0080, 0x0100, 0x0200, 0x0400, 0x0800, 0x1000, 0x2000, 0x0443, 0x0886,
+    0x110c, 0x2218, 0x0073, 0x00e6, 0x01cc, 0x0398, 0x0730, 0x0e60, 0x1cc0, 0x3980, 0x3743, 0x2ac5, 0x11c9, 0x2392, 0x0367, 0x06ce,
+    0x0d9c, 0x1b38, 0x3670, 0x28a3, 0x1505, 0x2a0a, 0x1057, 0x20ae, 0x051f, 0x0a3e, 0x147c, 0x28f8, 0x15b3, 0x2b66, 0x128f, 0x251e,
+    0x0e7f, 0x1cfe, 0x39fc, 0x37bb, 0x2b35, 0x1229, 0x2452, 0x0ce7, 0x19ce, 0x339c, 0x237b, 0x02b5, 0x056a, 0x0ad4, 0x15a8, 0x2b50,
+    0x12e3, 0x25c6, 0x0fcf, 0x1f9e, 0x3f3c, 0x3a3b, 0x3035, 0x2429, 0x0c11, 0x1822, 0x3044, 0x24cb, 0x0dd5, 0x1baa, 0x3754, 0x2aeb,
+    0x1195, 0x232a, 0x0217, 0x042e, 0x085c, 0x10b8, 0x2170, 0x06a3, 0x0d46, 0x1a8c, 0x3518, 0x2e73, 0x18a5, 0x314a, 0x26d7, 0x09ed,
+    0x13da, 0x27b4, 0x0b2b, 0x1656, 0x2cac, 0x1d1b, 0x3a36, 0x302f, 0x241d, 0x0c79, 0x18f2, 0x31e4, 0x278b, 0x0b55, 0x16aa, 0x2d54,
+    0x1eeb, 0x3dd6, 0x3fef, 0x3b9d, 0x3379, 0x22b1, 0x0121, 0x0242, 0x0484, 0x0908, 0x1210, 0x2420, 0x0c03, 0x1806, 0x300c, 0x245b,
+    0x0cf5, 0x19ea, 0x33d4, 0x23eb, 0x0395, 0x072a, 0x0e54, 0x1ca8, 0x3950, 0x36e3, 0x2985, 0x1749, 0x2e92, 0x1967, 0x32ce, 0x21df,
+    0x07fd, 0x0ffa, 0x1ff4, 0x3fe8, 0x3b93, 0x3365, 0x2289, 0x0151, 0x02a2, 0x0544, 0x0a88, 0x1510, 0x2a20, 0x1003, 0x2006, 0x044f,
+    0x089e, 0x113c, 0x2278, 0x00b3, 0x0166, 0x02cc, 0x0598, 0x0b30, 0x1660, 0x2cc0, 0x1dc3, 0x3b86, 0x334f, 0x22dd, 0x01f9, 0x03f2,
+    0x07e4, 0x0fc8, 0x1f90, 0x3f20, 0x3a03, 0x3045, 0x24c9, 0x0dd1, 0x1ba2, 0x3744, 0x2acb, 0x11d5, 0x23aa, 0x0317, 0x062e, 0x0c5c,
+    0x18b8, 0x3170, 0x26a3, 0x0905, 0x120a, 0x2414, 0x0c6b, 0x18d6, 0x31ac, 0x271b, 0x0a75, 0x14ea, 0x29d4, 0x17eb, 0x2fd6, 0x1bef,
+    0x37de, 0x2bff, 0x13bd, 0x277a, 0x0ab7, 0x156e, 0x2adc, 0x11fb, 0x23f6, 0x03af, 0x075e, 0x0ebc, 0x1d78, 0x3af0, 0x31a3, 0x2705,
+    0x0a49, 0x1492, 0x2924, 0x160b, 0x2c16, 0x1c6f, 0x38de, 0x35ff, 0x2fbd, 0x1b39, 0x3672, 0x28a7, 0x150d, 0x2a1a, 0x1077, 0x20ee,
+    0x059f, 0x0b3e, 0x167c, 0x2cf8, 0x1db3, 0x3b66, 0x328f, 0x215d, 0x06f9, 0x0df2, 0x1be4, 0x37c8, 0x2bd3, 0x13e5, 0x27ca, 0x0bd7,
+    0x17ae, 0x2f5c, 0x1afb, 0x35f6, 0x2faf, 0x1b1d, 0x363a, 0x2837, 0x142d, 0x285a, 0x14f7, 0x29ee, 0x179f, 0x2f3e, 0x1a3f, 0x347e,
+    0x2cbf, 0x1d3d, 0x3a7a, 0x30b7, 0x252d, 0x0e19, 0x1c32, 0x3864, 0x348b, 0x2d55, 0x1ee9, 0x3dd2, 0x3fe7, 0x3b8d, 0x3359, 0x22f1,
+    0x01a1, 0x0342, 0x0684, 0x0d08, 0x1a10, 0x3420, 0x2c03, 0x1c45, 0x388a, 0x3557, 0x2eed, 0x1999, 0x3332, 0x2227, 0x000d, 0x001a,
+    0x0034, 0x0068, 0x00d0, 0x01a0, 0x0340, 0x0680, 0x0d00, 0x1a00, 0x3400, 0x2c43, 0x1cc5, 0x398a, 0x3757, 0x2aed, 0x1199, 0x2332,
+    0x0227, 0x044e, 0x089c, 0x1138, 0x2270, 0x00a3, 0x0146, 0x028c, 0x0518, 0x0a30, 0x1460, 0x28c0, 0x15c3, 0x2b86, 0x134f, 0x269e,
+    0x097f, 0x12fe, 0x25fc, 0x0fbb, 0x1f76, 0x3eec, 0x399b, 0x3775, 0x2aa9, 0x1111, 0x2222, 0x0007, 0x000e, 0x001c, 0x0038, 0x0070,
+    0x00e0, 0x01c0, 0x0380, 0x0700, 0x0e00, 0x1c00, 0x3800, 0x3443, 0x2cc5, 0x1dc9, 0x3b92, 0x3367, 0x228d, 0x0159, 0x02b2, 0x0564,
+    0x0ac8, 0x1590, 0x2b20, 0x1203, 0x2406, 0x0c4f, 0x189e, 0x313c, 0x263b, 0x0835, 0x106a, 0x20d4, 0x05eb, 0x0bd6, 0x17ac, 0x2f58,
+    0x1af3, 0x35e6, 0x2f8f, 0x1b5d, 0x36ba, 0x2937, 0x162d, 0x2c5a, 0x1cf7, 0x39ee, 0x379f, 0x2b7d, 0x12b9, 0x2572, 0x0ea7, 0x1d4e,
+    0x3a9c, 0x317b, 0x26b5, 0x0929, 0x1252, 0x24a4, 0x0d0b, 0x1a16, 0x342c, 0x2c1b, 0x1c75, 0x38ea, 0x3597, 0x2f6d, 0x1a99, 0x3532,
+    0x2e27, 0x180d, 0x301a, 0x2477, 0x0cad, 0x195a, 0x32b4, 0x212b, 0x0615, 0x0c2a, 0x1854, 0x30a8, 0x2513, 0x0e65, 0x1cca, 0x3994,
+    0x376b, 0x2a95, 0x1169, 0x22d2, 0x01e7, 0x03ce, 0x079c, 0x0f38, 0x1e70, 0x3ce0, 0x3d83, 0x3f45, 0x3ac9, 0x31d1, 0x27e1, 0x0b81,
+    0x1702, 0x2e04, 0x184b, 0x3096, 0x256f, 0x0e9d, 0x1d3a, 0x3a74, 0x30ab, 0x2515, 0x0e69, 0x1cd2, 0x39a4, 0x370b, 0x2a55, 0x10e9,
+    0x21d2, 0x07e7, 0x0fce, 0x1f9c, 0x3f38, 0x3a33, 0x3025, 0x2409, 0x0c51, 0x18a2, 0x3144, 0x26cb, 0x09d5, 0x13aa, 0x2754, 0x0aeb,
+    0x15d6, 0x2bac, 0x131b, 0x2636, 0x082f, 0x105e, 0x20bc, 0x053b, 0x0a76, 0x14ec, 0x29d8, 0x17f3, 0x2fe6, 0x1b8f, 0x371e, 0x2a7f,
+    0x10bd, 0x217a, 0x06b7, 0x0d6e, 0x1adc, 0x35b8, 0x2f33, 0x1a25, 0x344a, 0x2cd7, 0x1ded, 0x3bda, 0x33f7, 0x23ad, 0x0319, 0x0632,
+    0x0c64, 0x18c8, 0x3190, 0x2763, 0x0a85, 0x150a, 0x2a14, 0x106b, 0x20d6, 0x05ef, 0x0bde, 0x17bc, 0x2f78, 0x1ab3, 0x3566, 0x2e8f,
+    0x195d, 0x32ba, 0x2137, 0x062d, 0x0c5a, 0x18b4, 0x3168, 0x2693, 0x0965, 0x12ca, 0x2594, 0x0f6b, 0x1ed6, 0x3dac, 0x3f1b, 0x3a75,
+    0x30a9, 0x2511, 0x0e61, 0x1cc2, 0x3984, 0x374b, 0x2ad5, 0x11e9, 0x23d2, 0x03e7, 0x07ce, 0x0f9c, 0x1f38, 0x3e70, 0x38a3, 0x3505,
+    0x2e49, 0x18d1, 0x31a2, 0x2707, 0x0a4d, 0x149a, 0x2934, 0x162b, 0x2c56, 0x1cef, 0x39de, 0x37ff, 0x2bbd, 0x1339, 0x2672, 0x08a7,
+    0x114e, 0x229c, 0x017b, 0x02f6, 0x05ec, 0x0bd8, 0x17b0, 0x2f60, 0x1a83, 0x3506, 0x2e4f, 0x18dd, 0x31ba, 0x2737, 0x0a2d, 0x145a,
+    0x28b4, 0x152b, 0x2a56, 0x10ef, 0x21de, 0x07ff, 0x0ffe, 0x1ffc, 0x3ff8, 0x3bb3, 0x3325, 0x2209, 0x0051, 0x00a2, 0x0144, 0x0288,
+    0x0510, 0x0a20, 0x1440, 0x2880, 0x1543, 0x2a86, 0x114f, 0x229e, 0x017f, 0x02fe, 0x05fc, 0x0bf8, 0x17f0, 0x2fe0, 0x1b83, 0x3706,
+    0x2a4f, 0x10dd, 0x21ba, 0x0737, 0x0e6e, 0x1cdc, 0x39b8, 0x3733, 0x2a25, 0x1009, 0x2012, 0x0467, 0x08ce, 0x119c, 0x2338, 0x0233,
+    0x0466, 0x08cc, 0x1198, 0x2330, 0x0223, 0x0446, 0x088c, 0x1118, 0x2230, 0x0023, 0x0046, 0x008c, 0x0118, 0x0230, 0x0460, 0x08c0,
+    0x1180, 0x2300, 0x0243, 0x0486, 0x090c, 0x1218, 0x2430, 0x0c23, 0x1846, 0x308c, 0x255b, 0x0ef5, 0x1dea, 0x3bd4, 0x33eb, 0x2395,
+    0x0369, 0x06d2, 0x0da4, 0x1b48, 0x3690, 0x2963, 0x1685, 0x2d0a, 0x1e57, 0x3cae, 0x3d1f, 0x3e7d, 0x38b9, 0x3531, 0x2e21, 0x1801,
+    0x3002, 0x2447, 0x0ccd, 0x199a, 0x3334, 0x222b, 0x0015, 0x002a, 0x0054, 0x00a8, 0x0150, 0x02a0, 0x0540, 0x0a80, 0x1500, 0x2a00,
+    0x1043, 0x2086, 0x054f, 0x0a9e, 0x153c, 0x2a78, 0x10b3, 0x2166, 0x068f, 0x0d1e, 0x1a3c, 0x3478, 0x2cb3, 0x1d25, 0x3a4a, 0x30d7,
+    0x25ed, 0x0f99, 0x1f32, 0x3e64, 0x388b, 0x3555, 0x2ee9, 0x1991, 0x3322, 0x2207, 0x004d, 0x009a, 0x0134, 0x0268, 0x04d0, 0x09a0,
+    0x1340, 0x2680, 0x0943, 0x1286, 0x250c, 0x0e5b, 0x1cb6, 0x396c, 0x369b, 0x2975, 0x16a9, 0x2d52, 0x1ee7, 0x3dce, 0x3fdf, 0x3bfd,
+    0x33b9, 0x2331, 0x0221, 0x0442, 0x0884, 0x1108, 0x2210, 0x0063, 0x00c6, 0x018c, 0x0318, 0x0630, 0x0c60, 0x18c0, 0x3180, 0x2743,
+    0x0ac5, 0x158a, 0x2b14, 0x126b, 0x24d6, 0x0def, 0x1bde, 0x37bc, 0x2b3b, 0x1235, 0x246a, 0x0c97, 0x192e, 0x325c, 0x20fb, 0x05b5,
+    0x0b6a, 0x16d4, 0x2da8, 0x1f13, 0x3e26, 0x380f, 0x345d, 0x2cf9, 0x1db1, 0x3b62, 0x3287, 0x214d, 0x06d9, 0x0db2, 0x1b64, 0x36c8,
+    0x29d3, 0x17e5, 0x2fca, 0x1bd7, 0x37ae, 0x2b1f, 0x127d, 0x24fa, 0x0db7, 0x1b6e, 0x36dc, 0x29fb, 0x17b5, 0x2f6a, 0x1a97, 0x352e,
+    0x2e1f, 0x187d, 0x30fa, 0x25b7, 0x0f2d, 0x1e5a, 0x3cb4, 0x3d2b, 0x3e15, 0x3869, 0x3491, 0x2d61, 0x1e81, 0x3d02, 0x3e47, 0x38cd,
+    0x35d9, 0x2ff1, 0x1ba1, 0x3742, 0x2ac7, 0x11cd, 0x239a, 0x0377, 0x06ee, 0x0ddc, 0x1bb8, 0x3770, 0x2aa3, 0x1105, 0x220a, 0x0057,
+    0x00ae, 0x015c, 0x02b8, 0x0570, 0x0ae0, 0x15c0, 0x2b80, 0x1343, 0x2686, 0x094f, 0x129e, 0x253c, 0x0e3b, 0x1c76, 0x38ec, 0x359b,
+    0x2f75, 0x1aa9, 0x3552, 0x2ee7, 0x198d, 0x331a, 0x2277, 0x00ad, 0x015a, 0x02b4, 0x0568, 0x0ad0, 0x15a0, 0x2b40, 0x12c3, 0x2586,
+    0x0f4f, 0x1e9e, 0x3d3c, 0x3e3b, 0x3835, 0x3429, 0x2c11, 0x1c61, 0x38c2, 0x35c7, 0x2fcd, 0x1bd9, 0x37b2, 0x2b27, 0x120d, 0x241a,
+    0x0c77, 0x18ee, 0x31dc, 0x27fb, 0x0bb5, 0x176a, 0x2ed4, 0x19eb, 0x33d6, 0x23ef, 0x039d, 0x073a, 0x0e74, 0x1ce8, 0x39d0, 0x37e3,
+    0x2b85, 0x1349, 0x2692, 0x0967, 0x12ce, 0x259c, 0x0f7b, 0x1ef6, 0x3dec, 0x3f9b, 0x3b75, 0x32a9, 0x2111, 0x0661, 0x0cc2, 0x1984,
+    0x3308, 0x2253, 0x00e5, 0x01ca, 0x0394, 0x0728, 0x0e50, 0x1ca0, 0x3940, 0x36c3, 0x29c5, 0x17c9, 0x2f92, 0x1b67, 0x36ce, 0x29df,
+    0x17fd, 0x2ffa, 0x1bb7, 0x376e, 0x2a9f, 0x117d, 0x22fa, 0x01b7, 0x036e, 0x06dc, 0x0db8, 0x1b70, 0x36e0, 0x2983, 0x1745, 0x2e8a,
+    0x1957, 0x32ae, 0x211f, 0x067d, 0x0cfa, 0x19f4, 0x33e8, 0x2393, 0x0365, 0x06ca, 0x0d94, 0x1b28, 0x3650, 0x28e3, 0x1585, 0x2b0a,
+    0x1257, 0x24ae, 0x0d1f, 0x1a3e, 0x347c, 0x2cbb, 0x1d35, 0x3a6a, 0x3097, 0x256d, 0x0e99, 0x1d32, 0x3a64, 0x308b, 0x2555, 0x0ee9,
+    0x1dd2, 0x3ba4, 0x330b, 0x2255, 0x00e9, 0x01d2, 0x03a4, 0x0748, 0x0e90, 0x1d20, 0x3a40, 0x30c3, 0x25c5, 0x0fc9, 0x1f92, 0x3f24,
+    0x3a0b, 0x3055, 0x24e9, 0x0d91, 0x1b22, 0x3644, 0x28cb, 0x15d5, 0x2baa, 0x1317, 0x262e, 0x081f, 0x103e, 0x207c, 0x04bb, 0x0976,
+    0x12ec, 0x25d8, 0x0ff3, 0x1fe6, 0x3fcc, 0x3bdb, 0x33f5, 0x23a9, 0x0311, 0x0622, 0x0c44, 0x1888, 0x3110, 0x2663, 0x0885, 0x110a,
+    0x2214, 0x006b, 0x00d6, 0x01ac, 0x0358, 0x06b0, 0x0d60, 0x1ac0, 0x3580, 0x2f43, 0x1ac5, 0x358a, 0x2f57, 0x1aed, 0x35da, 0x2ff7,
+    0x1bad, 0x375a, 0x2af7, 0x11ad, 0x235a, 0x02f7, 0x05ee, 0x0bdc, 0x17b8, 0x2f70, 0x1aa3, 0x3546, 0x2ecf, 0x19dd, 0x33ba, 0x2337,
+    0x022d, 0x045a, 0x08b4, 0x1168, 0x22d0, 0x01e3, 0x03c6, 0x078c, 0x0f18, 0x1e30, 0x3c60, 0x3c83, 0x3d45, 0x3ec9, 0x39d1, 0x37e1,
+    0x2b81, 0x1341, 0x2682, 0x0947, 0x128e, 0x251c, 0x0e7b, 0x1cf6, 0x39ec, 0x379b, 0x2b75, 0x12a9, 0x2552, 0x0ee7, 0x1dce, 0x3b9c,
+    0x337b, 0x22b5, 0x0129, 0x0252, 0x04a4, 0x0948, 0x1290, 0x2520, 0x0e03, 0x1c06, 0x380c, 0x345b, 0x2cf5, 0x1da9, 0x3b52, 0x32e7,
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+    0x3319, 0x2271, 0x00a1, 0x0142, 0x0284, 0x0508, 0x0a10, 0x1420, 0x2840, 0x14c3, 0x2986, 0x174f, 0x2e9e, 0x197f, 0x32fe, 0x21bf,
+    0x073d, 0x0e7a, 0x1cf4, 0x39e8, 0x3793, 0x2b65, 0x1289, 0x2512, 0x0e67, 0x1cce, 0x399c, 0x377b, 0x2ab5, 0x1129, 0x2252, 0x00e7,
+    0x01ce, 0x039c, 0x0738, 0x0e70, 0x1ce0, 0x39c0, 0x37c3, 0x2bc5, 0x13c9, 0x2792, 0x0b67, 0x16ce, 0x2d9c, 0x1f7b, 0x3ef6, 0x39af,
+    0x371d, 0x2a79, 0x10b1, 0x2162, 0x0687, 0x0d0e, 0x1a1c, 0x3438, 0x2c33, 0x1c25, 0x384a, 0x34d7, 0x2ded, 0x1f99, 0x3f32, 0x3a27,
+    0x300d, 0x2459, 0x0cf1, 0x19e2, 0x33c4, 0x23cb, 0x03d5, 0x07aa, 0x0f54, 0x1ea8, 0x3d50, 0x3ee3, 0x3985, 0x3749, 0x2ad1, 0x11e1,
+    0x23c2, 0x03c7, 0x078e, 0x0f1c, 0x1e38, 0x3c70, 0x3ca3, 0x3d05, 0x3e49, 0x38d1, 0x35e1, 0x2f81, 0x1b41, 0x3682, 0x2947, 0x16cd,
+    0x2d9a, 0x1f77, 0x3eee, 0x399f, 0x377d, 0x2ab9, 0x1131, 0x2262, 0x0087, 0x010e, 0x021c, 0x0438, 0x0870, 0x10e0, 0x21c0, 0x07c3,
+    0x0f86, 0x1f0c, 0x3e18, 0x3873, 0x34a5, 0x2d09, 0x1e51, 0x3ca2, 0x3d07, 0x3e4d, 0x38d9, 0x35f1, 0x2fa1, 0x1b01, 0x3602, 0x2847,
+    0x14cd, 0x299a, 0x1777, 0x2eee, 0x199f, 0x333e, 0x223f, 0x003d, 0x007a, 0x00f4, 0x01e8, 0x03d0, 0x07a0, 0x0f40, 0x1e80, 0x3d00,
+    0x3e43, 0x38c5, 0x35c9, 0x2fd1, 0x1be1, 0x37c2, 0x2bc7, 0x13cd, 0x279a, 0x0b77, 0x16ee, 0x2ddc, 0x1ffb, 0x3ff6, 0x3baf, 0x331d,
+    0x2279, 0x00b1, 0x0162, 0x02c4, 0x0588, 0x0b10, 0x1620, 0x2c40, 0x1cc3, 0x3986, 0x374f, 0x2add, 0x11f9, 0x23f2, 0x03a7, 0x074e,
+    0x0e9c, 0x1d38, 0x3a70, 0x30a3, 0x2505, 0x0e49, 0x1c92, 0x3924, 0x360b, 0x2855, 0x14e9, 0x29d2, 0x17e7, 0x2fce, 0x1bdf, 0x37be,
+    0x2b3f, 0x123d, 0x247a, 0x0cb7, 0x196e, 0x32dc, 0x21fb, 0x07b5, 0x0f6a, 0x1ed4, 0x3da8, 0x3f13, 0x3a65, 0x3089, 0x2551, 0x0ee1,
+    0x1dc2, 0x3b84, 0x334b, 0x22d5, 0x01e9, 0x03d2, 0x07a4, 0x0f48, 0x1e90, 0x3d20, 0x3e03, 0x3845, 0x34c9, 0x2dd1, 0x1fe1, 0x3fc2,
+    0x3bc7, 0x33cd, 0x23d9, 0x03f1, 0x07e2, 0x0fc4, 0x1f88, 0x3f10, 0x3a63, 0x3085, 0x2549, 0x0ed1, 0x1da2, 0x3b44, 0x32cb, 0x21d5,
+    0x07e9, 0x0fd2, 0x1fa4, 0x3f48, 0x3ad3, 0x31e5, 0x2789, 0x0b51, 0x16a2, 0x2d44, 0x1ecb, 0x3d96, 0x3f6f, 0x3a9d, 0x3179, 0x26b1,
+    0x0921, 0x1242, 0x2484, 0x0d4b, 0x1a96, 0x352c, 0x2e1b, 0x1875, 0x30ea, 0x2597, 0x0f6d, 0x1eda, 0x3db4, 0x3f2b, 0x3a15, 0x3069,
+    0x2491, 0x0d61, 0x1ac2, 0x3584, 0x2f4b, 0x1ad5, 0x35aa, 0x2f17, 0x1a6d, 0x34da, 0x2df7, 0x1fad, 0x3f5a, 0x3af7, 0x31ad, 0x2719,
+    0x0a71, 0x14e2, 0x29c4, 0x17cb, 0x2f96, 0x1b6f, 0x36de, 0x29ff, 0x17bd, 0x2f7a, 0x1ab7, 0x356e, 0x2e9f, 0x197d, 0x32fa, 0x21b7,
+    0x072d, 0x0e5a, 0x1cb4, 0x3968, 0x3693, 0x2965, 0x1689, 0x2d12, 0x1e67, 0x3cce, 0x3ddf, 0x3ffd, 0x3bb9, 0x3331, 0x2221, 0x0001
+  }
+};
+
+#endif /* CONFIG_SAMA5_PMECC_GALOIS_ROMTABLES */
diff --git a/nuttx/arch/arm/src/sama5/sam_gf512.c b/nuttx/arch/arm/src/sama5/sam_gf512.c
new file mode 100644
index 000000000..becda081f
--- /dev/null
+++ b/nuttx/arch/arm/src/sama5/sam_gf512.c
@@ -0,0 +1,1095 @@
+/**********************************************************************************************************************************
+ * arch/arm/src/sama5/sam_gf512.c
+ *
+ *   Copyright (C) 2013 Gregory Nutt. All rights reserved.
+ *   Author: Gregory Nutt <gnutt@nuttx.org>
+ *
+ * Taken from Atmel NoOS sample code.  The Atmel sample code has a BSD compatibile license that requires this copyright notice:
+ *
+ *   Copyright (c) 2012, Atmel Corporation
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in
+ *    the documentation and/or other materials provided with the
+ *    distribution.
+ * 3. Neither the names NuttX nor Atmel nor the names of its contributors
+ *    may be used to endorse or promote products derived from this software
+ *    without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+ * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+ * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+ * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+ * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
+ * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
+ * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+ * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ *
+ **********************************************************************************************************************************/
+
+/**********************************************************************************************************************************
+ * Included Files
+ **********************************************************************************************************************************/
+
+#include <nuttx/config.h>
+#include <nuttx/mtd/nand_config.h>
+
+#include <stdint.h>
+
+#include "sam_pmecc.h"
+
+#ifndef CONFIG_SAMA5_PMECC_GALOIS_ROMTABLES
+
+/**********************************************************************************************************************************
+ * Public Data
+ **********************************************************************************************************************************/
+
+/* Gallois Field tables for 512 bytes sectors. First raw is "index_of" and second one is "alpha_to" */
+
+const uint16_t pmecc_gf512[2][PMECC_GF_SIZEOF_512] = 
+{
+  /* "index_of" table */
+  {
+    0xffff, 0x0000, 0x0001, 0x03a6, 0x0002, 0x074c, 0x03a7, 0x18c0, 0x0003, 0x1c66, 0x074d, 0x01ea, 0x03a8, 0x005d, 0x18c1, 0x0af2,
+    0x0004, 0x0e98, 0x1c67, 0x183e, 0x074e, 0x1181, 0x01eb, 0x0403, 0x03a9, 0x119c, 0x005e, 0x000d, 0x18c2, 0x0590, 0x0af3, 0x1877,
+    0x0005, 0x1c1d, 0x0e99, 0x191d, 0x1c68, 0x0d6f, 0x183f, 0x0936, 0x074f, 0x13d9, 0x1182, 0x1542, 0x01ec, 0x03b3, 0x0404, 0x1395,
+    0x03aa, 0x1aaa, 0x119d, 0x123e, 0x005f, 0x1be4, 0x000e, 0x0bda, 0x18c3, 0x07a9, 0x0591, 0x1d35, 0x0af4, 0x19ae, 0x1878, 0x1527,
+    0x0006, 0x18cd, 0x1c1e, 0x174b, 0x0e9a, 0x03d4, 0x191e, 0x1d54, 0x1c69, 0x057f, 0x0d70, 0x0b4f, 0x1840, 0x00dc, 0x0937, 0x0a5d,
+    0x0750, 0x00ba, 0x13da, 0x1e50, 0x1183, 0x15e4, 0x1543, 0x155a, 0x01ed, 0x0f80, 0x03b4, 0x05f3, 0x0405, 0x1138, 0x1396, 0x1f8a,
+    0x03ab, 0x0122, 0x1aab, 0x1fc3, 0x119e, 0x1cc3, 0x123f, 0x164b, 0x0060, 0x0cdc, 0x1be5, 0x0a42, 0x000f, 0x1eb9, 0x0bdb, 0x1115,
+    0x18c4, 0x173b, 0x07aa, 0x094b, 0x0592, 0x1444, 0x1d36, 0x0759, 0x0af5, 0x10ff, 0x19af, 0x177f, 0x1879, 0x18e8, 0x1528, 0x0247,
+    0x0007, 0x05ed, 0x18ce, 0x091f, 0x1c1f, 0x049b, 0x174c, 0x1c8e, 0x0e9b, 0x13ac, 0x03d5, 0x14a5, 0x191f, 0x1b25, 0x1d55, 0x1fe1,
+    0x1c6a, 0x169f, 0x0580, 0x1ae1, 0x0d71, 0x0cf1, 0x0b50, 0x136b, 0x1841, 0x0aff, 0x00dd, 0x18d4, 0x0938, 0x194d, 0x0a5e, 0x17ea,
+    0x0751, 0x15f6, 0x00bb, 0x04c8, 0x13db, 0x036a, 0x1e51, 0x1bbb, 0x1184, 0x19f1, 0x15e5, 0x02f2, 0x1544, 0x1a28, 0x155b, 0x006a,
+    0x01ee, 0x14bb, 0x0f81, 0x126f, 0x03b5, 0x11f9, 0x05f4, 0x0260, 0x0406, 0x01b9, 0x1139, 0x1082, 0x1397, 0x0de8, 0x1f8b, 0x1674,
+    0x03ac, 0x1a21, 0x0123, 0x1c73, 0x1aac, 0x1af1, 0x1fc4, 0x189b, 0x119f, 0x00fb, 0x1cc4, 0x0142, 0x1240, 0x0c56, 0x164c, 0x077a,
+    0x0061, 0x0e03, 0x0cdd, 0x1309, 0x1be6, 0x18ad, 0x0a43, 0x0482, 0x0010, 0x1a61, 0x1eba, 0x0925, 0x0bdc, 0x0ef5, 0x1116, 0x0c9a,
+    0x18c5, 0x0331, 0x173c, 0x1386, 0x07ab, 0x0f4a, 0x094c, 0x14de, 0x0593, 0x11de, 0x1445, 0x1326, 0x1d37, 0x0999, 0x075a, 0x1d67,
+    0x0af6, 0x1ef8, 0x1100, 0x0460, 0x19b0, 0x01f7, 0x1780, 0x0340, 0x187a, 0x1900, 0x18e9, 0x0630, 0x1529, 0x0285, 0x0248, 0x198a,
+    0x0008, 0x1d30, 0x05ee, 0x177a, 0x18cf, 0x107d, 0x0920, 0x062b, 0x1c20, 0x157f, 0x049c, 0x1ca6, 0x174d, 0x09d6, 0x1c8f, 0x1d92,
+    0x0e9c, 0x0303, 0x13ad, 0x029f, 0x03d6, 0x0806, 0x14a6, 0x0a14, 0x1920, 0x06e6, 0x1b26, 0x1c25, 0x1d56, 0x101a, 0x1fe2, 0x059d,
+    0x1c6b, 0x1a0b, 0x16a0, 0x06d7, 0x0581, 0x172c, 0x1ae2, 0x19e2, 0x0d72, 0x1884, 0x0cf2, 0x07ba, 0x0b51, 0x012a, 0x136c, 0x12f0,
+    0x1842, 0x010e, 0x0b00, 0x15c3, 0x00de, 0x0f0c, 0x18d5, 0x0d3f, 0x0939, 0x043b, 0x194e, 0x1584, 0x0a5f, 0x16cc, 0x17eb, 0x0fe8,
+    0x0752, 0x0339, 0x15f7, 0x1dc7, 0x00bc, 0x001a, 0x04c9, 0x0f59, 0x13dc, 0x1c41, 0x036b, 0x0d05, 0x1e52, 0x0abf, 0x1bbc, 0x1e97,
+    0x1185, 0x0b20, 0x19f2, 0x0c37, 0x15e6, 0x10ef, 0x02f3, 0x0ffc, 0x1545, 0x020c, 0x1a29, 0x04a1, 0x155c, 0x04e8, 0x006b, 0x102b,
+    0x01ef, 0x1040, 0x14bc, 0x0fd5, 0x0f82, 0x0852, 0x1270, 0x129b, 0x03b6, 0x0c79, 0x11fa, 0x1e07, 0x05f5, 0x0ccb, 0x0261, 0x09c0,
+    0x0407, 0x056d, 0x01ba, 0x11a9, 0x113a, 0x16af, 0x1083, 0x15fe, 0x1398, 0x0828, 0x0de9, 0x1cab, 0x1f8c, 0x1b07, 0x1675, 0x1c53,
+    0x03ad, 0x1eb3, 0x1a22, 0x0993, 0x0124, 0x0cc5, 0x1c74, 0x0318, 0x1aad, 0x0035, 0x1af2, 0x0179, 0x1fc5, 0x0b3a, 0x189c, 0x0841,
+    0x11a0, 0x0388, 0x00fc, 0x09f9, 0x1cc5, 0x1f1f, 0x0143, 0x1ecb, 0x1241, 0x0dcc, 0x0c57, 0x1752, 0x164d, 0x184b, 0x077b, 0x14ed,
+    0x0062, 0x1b90, 0x0e04, 0x0bf0, 0x0cde, 0x0e1b, 0x130a, 0x1cf3, 0x1be7, 0x0673, 0x18ae, 0x0ea5, 0x0a44, 0x1c7a, 0x0483, 0x1b98,
+    0x0011, 0x0c04, 0x1a62, 0x1a45, 0x1ebb, 0x1e87, 0x0926, 0x197a, 0x0bdd, 0x1711, 0x0ef6, 0x09db, 0x1117, 0x10cf, 0x0c9b, 0x1097,
+    0x18c6, 0x1a1a, 0x0332, 0x1a13, 0x173d, 0x1436, 0x1387, 0x118e, 0x07ac, 0x100c, 0x0f4b, 0x055f, 0x094d, 0x1428, 0x14df, 0x0665,
+    0x0594, 0x10b6, 0x11df, 0x1861, 0x1446, 0x1615, 0x1327, 0x0423, 0x1d38, 0x0606, 0x099a, 0x1c94, 0x075b, 0x053e, 0x1d68, 0x159f,
+    0x0af7, 0x0dc4, 0x1ef9, 0x199c, 0x1101, 0x086e, 0x0461, 0x0e7c, 0x19b1, 0x1f61, 0x01f8, 0x13f2, 0x1781, 0x031e, 0x0341, 0x0710,
+    0x187b, 0x0410, 0x1901, 0x095b, 0x18ea, 0x1048, 0x0631, 0x1dce, 0x152a, 0x1f47, 0x0286, 0x1d97, 0x0249, 0x0698, 0x198b, 0x1e3f,
+    0x0009, 0x01e6, 0x1d31, 0x153e, 0x05ef, 0x0b4b, 0x177b, 0x0a3e, 0x18d0, 0x14a1, 0x107e, 0x02ee, 0x0921, 0x013e, 0x062c, 0x1322,
+    0x1c21, 0x1ca2, 0x1580, 0x07b6, 0x049d, 0x0d01, 0x1ca7, 0x1e03, 0x174e, 0x0175, 0x09d7, 0x0ea1, 0x1c90, 0x055b, 0x1d93, 0x13ee,
+    0x0e9d, 0x02ea, 0x0304, 0x116a, 0x13ae, 0x1d42, 0x02a0, 0x09a8, 0x03d7, 0x1222, 0x0807, 0x116e, 0x14a7, 0x1ab3, 0x0a15, 0x0c14,
+    0x1921, 0x0ab6, 0x06e7, 0x0a88, 0x1b27, 0x07dd, 0x1c26, 0x06c4, 0x1d57, 0x0bca, 0x101b, 0x0308, 0x1fe3, 0x1798, 0x059e, 0x05ae,
+    0x1c6c, 0x1744, 0x1a0c, 0x1dc0, 0x16a1, 0x1db9, 0x06d8, 0x12e2, 0x0582, 0x1534, 0x172d, 0x1d46, 0x1ae3, 0x0452, 0x19e3, 0x17dc,
+    0x0d73, 0x0a0b, 0x1885, 0x0ed2, 0x0cf3, 0x115c, 0x07bb, 0x17ce, 0x0b52, 0x07d3, 0x012b, 0x13b2, 0x136d, 0x0905, 0x12f1, 0x1487,
+    0x1843, 0x1945, 0x010f, 0x0517, 0x0b01, 0x0f6c, 0x15c4, 0x08e4, 0x00df, 0x0b6b, 0x0f0d, 0x09ac, 0x18d6, 0x003b, 0x0d40, 0x0b75,
+    0x093a, 0x1a02, 0x043c, 0x145c, 0x194f, 0x1c07, 0x1585, 0x00c3, 0x0a60, 0x07c9, 0x16cd, 0x02a4, 0x17ec, 0x0614, 0x0fe9, 0x19bb,
+    0x0753, 0x0bd4, 0x033a, 0x025a, 0x15f8, 0x0d39, 0x1dc8, 0x1974, 0x00bd, 0x06be, 0x001b, 0x1226, 0x04ca, 0x1628, 0x0f5a, 0x106b,
+    0x13dd, 0x0be7, 0x1c42, 0x0769, 0x036c, 0x0971, 0x0d06, 0x0ee0, 0x1e53, 0x1f01, 0x0ac0, 0x03db, 0x1bbd, 0x051f, 0x1e98, 0x0a9f,
+    0x1186, 0x1893, 0x0b21, 0x146d, 0x19f3, 0x054c, 0x0c38, 0x1bf1, 0x15e7, 0x0c47, 0x10f0, 0x1172, 0x02f4, 0x1af8, 0x0ffd, 0x0e0c,
+    0x1546, 0x1f16, 0x020d, 0x072e, 0x1a2a, 0x0d9f, 0x04a2, 0x122c, 0x155d, 0x0272, 0x04e9, 0x080b, 0x006c, 0x089a, 0x102c, 0x02c6,
+    0x01f0, 0x143d, 0x1041, 0x16a8, 0x14bd, 0x1c00, 0x0fd6, 0x1475, 0x0f83, 0x15ad, 0x0853, 0x1ab7, 0x1271, 0x0d81, 0x129c, 0x1349,
+    0x03b7, 0x065c, 0x0c7a, 0x0faa, 0x11fb, 0x1deb, 0x1e08, 0x17b9, 0x05f6, 0x1d20, 0x0ccc, 0x14ab, 0x0262, 0x1935, 0x09c1, 0x022e,
+    0x0408, 0x1ef0, 0x056e, 0x1f36, 0x01bb, 0x0f96, 0x11aa, 0x05be, 0x113b, 0x009a, 0x16b0, 0x0c18, 0x1084, 0x017f, 0x15ff, 0x11c1,
+    0x1399, 0x1f3e, 0x0829, 0x1b45, 0x0dea, 0x14c4, 0x1cac, 0x0021, 0x1f8d, 0x1660, 0x1b08, 0x0a19, 0x1676, 0x124b, 0x1c54, 0x1d76,
+    0x03ae, 0x0058, 0x1eb4, 0x00d7, 0x1a23, 0x1b20, 0x0994, 0x0c51, 0x0125, 0x09d1, 0x0cc6, 0x0aba, 0x1c75, 0x0b35, 0x0319, 0x1423,
+    0x1aae, 0x0139, 0x0036, 0x044d, 0x1af3, 0x1623, 0x017a, 0x0d7c, 0x1fc6, 0x0b30, 0x0b3b, 0x1925, 0x189d, 0x004d, 0x0842, 0x10bf,
+    0x11a1, 0x0943, 0x0389, 0x1454, 0x00fd, 0x05dc, 0x09fa, 0x13c0, 0x1cc6, 0x0419, 0x1f20, 0x0a8c, 0x0144, 0x1fcb, 0x1ecc, 0x1a79,
+    0x1242, 0x027c, 0x0dcd, 0x06a9, 0x0c58, 0x0645, 0x1753, 0x162e, 0x164e, 0x0dba, 0x184c, 0x06eb, 0x077c, 0x0f35, 0x14ee, 0x0bac,
+    0x0063, 0x138e, 0x1b91, 0x12e9, 0x0e05, 0x0c0d, 0x0bf1, 0x1a72, 0x0cdf, 0x0fcb, 0x0e1c, 0x07e1, 0x130b, 0x192a, 0x1cf4, 0x1335,
+    0x1be8, 0x1bb2, 0x0674, 0x04b4, 0x18af, 0x1969, 0x0ea6, 0x17a8, 0x0a45, 0x10e5, 0x1c7b, 0x1b2b, 0x0484, 0x1f0b, 0x1b99, 0x12b2,
+    0x0012, 0x03cc, 0x0c05, 0x1db1, 0x1a63, 0x0a7d, 0x1a46, 0x0eb7, 0x1ebc, 0x1d88, 0x1e88, 0x06c8, 0x0927, 0x0b40, 0x197b, 0x1ad2,
+    0x0bde, 0x1696, 0x1712, 0x0391, 0x0ef7, 0x147c, 0x09dc, 0x04d0, 0x1118, 0x0431, 0x10d0, 0x1c2a, 0x0c9c, 0x0b60, 0x1098, 0x0e4d,
+    0x18c7, 0x1ff9, 0x1a1b, 0x05e7, 0x0333, 0x1d2a, 0x1a14, 0x1ead, 0x173e, 0x01e0, 0x1437, 0x0bce, 0x1388, 0x0052, 0x118f, 0x1ff3,
+    0x07ad, 0x1835, 0x100d, 0x0913, 0x0f4c, 0x154f, 0x0560, 0x11ed, 0x094e, 0x19a4, 0x1429, 0x1d5b, 0x14e0, 0x0117, 0x0666, 0x1a55,
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+    0x1c57, 0x1cb4, 0x0df4, 0x0dd9, 0x1702, 0x1606, 0x1031, 0x09c7, 0x1d79, 0x1b11, 0x0d57, 0x109c, 0x1d11, 0x0d90, 0x01d7, 0x002c,
+    0x03b1, 0x13d7, 0x0d6d, 0x1c1b, 0x19ac, 0x07a7, 0x1be2, 0x1aa8, 0x005b, 0x1c64, 0x074a, 0x1ffd, 0x058e, 0x119a, 0x117f, 0x0e96,
+    0x1eb7, 0x0cda, 0x1cc1, 0x0120, 0x18e6, 0x10fd, 0x1442, 0x1739, 0x00da, 0x057d, 0x03d2, 0x18cb, 0x1136, 0x0f7e, 0x15e2, 0x00b8,
+    0x1a26, 0x19ef, 0x0368, 0x15f4, 0x0de6, 0x01b7, 0x11f7, 0x14b9, 0x1b23, 0x13aa, 0x0499, 0x05eb, 0x194b, 0x0afd, 0x0cef, 0x169d,
+    0x0997, 0x11dc, 0x0f48, 0x032f, 0x0283, 0x18fe, 0x01f5, 0x1ef6, 0x0c54, 0x00f9, 0x1aef, 0x1a1f, 0x0ef3, 0x1a5f, 0x18ab, 0x0e01,
+    0x0128, 0x1882, 0x172a, 0x1a09, 0x16ca, 0x0439, 0x0f0a, 0x010c, 0x09d4, 0x157d, 0x107b, 0x1d2e, 0x1018, 0x06e4, 0x0804, 0x0301,
+    0x0cc9, 0x0c77, 0x0850, 0x103e, 0x1b05, 0x0826, 0x16ad, 0x056b, 0x0abd, 0x1c3f, 0x0018, 0x0337, 0x04e6, 0x020a, 0x10ed, 0x0b1e,
+    0x1c78, 0x0671, 0x0e19, 0x1b8e, 0x10cd, 0x170f, 0x1e85, 0x0c02, 0x0b38, 0x0033, 0x0cc3, 0x1eb1, 0x1849, 0x0dca, 0x1f1d, 0x0386,
+    0x031c, 0x1f5f, 0x086c, 0x0dc2, 0x0696, 0x1f45, 0x1046, 0x040e, 0x1426, 0x100a, 0x1434, 0x1a18, 0x053c, 0x0604, 0x1613, 0x10b4,
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+    0x017d, 0x0098, 0x0f94, 0x1eee, 0x1249, 0x165e, 0x14c2, 0x1f3c, 0x0d7f, 0x15ab, 0x1bfe, 0x143b, 0x1933, 0x1d1e, 0x1de9, 0x065a,
+    0x1fc9, 0x0417, 0x05da, 0x0941, 0x0f33, 0x0db8, 0x0643, 0x027a, 0x0b33, 0x09cf, 0x1b1e, 0x0056, 0x004b, 0x0b2e, 0x1621, 0x0137,
+    0x0b3e, 0x1d86, 0x0a7b, 0x03ca, 0x0b5e, 0x042f, 0x147a, 0x1694, 0x1928, 0x0fc9, 0x0c0b, 0x138c, 0x1f09, 0x10e3, 0x1967, 0x1bb0,
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+    0x19a0, 0x01dc, 0x00ac, 0x163d, 0x0f3c, 0x12fb, 0x139e, 0x1666, 0x0b2c, 0x09cd, 0x0db6, 0x0415, 0x10e1, 0x0fc7, 0x042d, 0x1d84,
+    0x1105, 0x0250, 0x158f, 0x061b, 0x1413, 0x0e55, 0x02b6, 0x08d4, 0x1302, 0x1e49, 0x185a, 0x0c30, 0x0fa3, 0x0ecb, 0x1207, 0x04ad,
+    0x0872, 0x0d95, 0x1dd8, 0x1259, 0x0218, 0x1e14, 0x1b4a, 0x01c8, 0x179f, 0x0ff3, 0x111e, 0x1906, 0x19d0, 0x12d0, 0x12ba, 0x1762,
+    0x0465, 0x11b7, 0x04f4, 0x0c86, 0x0e86, 0x1684, 0x1b70, 0x1e66, 0x10c7, 0x0de0, 0x01a6, 0x0892, 0x0a66, 0x1f4d, 0x08a1, 0x0d4a,
+    0x0e80, 0x1d16, 0x1282, 0x0bb4, 0x15ce, 0x1252, 0x082e, 0x1f93, 0x03c3, 0x1037, 0x05cb, 0x0960, 0x06f9, 0x1817, 0x1b5b, 0x071a,
+    0x19b5, 0x05a8, 0x1d70, 0x02c0, 0x0e47, 0x0ba6, 0x148f, 0x0c67, 0x0241, 0x1521, 0x1984, 0x166e, 0x1c4d, 0x0fe2, 0x1e39, 0x1091,
+    0x1f65, 0x10a1, 0x14fc, 0x007e, 0x018c, 0x0e3a, 0x14c9, 0x0d11, 0x1211, 0x1993, 0x1c30, 0x18ef, 0x08c7, 0x19c3, 0x1d09, 0x0199,
+    0x01fc, 0x1ea3, 0x11ce, 0x1a9a, 0x0bba, 0x1ee0, 0x01d0, 0x1ba2, 0x0e74, 0x14d6, 0x0886, 0x05b6, 0x02aa, 0x028c, 0x12c4, 0x0ca3,
+    0x13f6, 0x0d5c, 0x0d1e, 0x0ad7, 0x0783, 0x1b54, 0x0def, 0x0a1f, 0x0e68, 0x160c, 0x0acb, 0x104d, 0x1cfd, 0x1f9b, 0x0b9a, 0x1f78,
+    0x1785, 0x069f, 0x1b65, 0x17f3, 0x1402, 0x1509, 0x180c, 0x02ce, 0x0f43, 0x1cbc, 0x0867, 0x084b, 0x0f8f, 0x0f65, 0x0c25, 0x0a76,
+    0x0322, 0x1b16, 0x079a, 0x15d5, 0x0b11, 0x16bd, 0x0026, 0x085f, 0x1fea, 0x0838, 0x10d6, 0x0636, 0x0aa7, 0x08f6, 0x008b, 0x0d2a,
+    0x0345, 0x12a8, 0x0b8f, 0x1148, 0x1288, 0x08b2, 0x1ed5, 0x0a27, 0x10ae, 0x0dfb, 0x0236, 0x0654, 0x16d3, 0x1d9d, 0x0073, 0x1b7a,
+    0x0714, 0x1d7e, 0x078f, 0x1f72, 0x08ab, 0x167d, 0x1cb1, 0x1b0e, 0x00a7, 0x1708, 0x127d, 0x1dd3, 0x0d19, 0x14f7, 0x078a, 0x0795,
+    0x187f, 0x157a, 0x0c74, 0x1c3c, 0x066e, 0x0030, 0x1f5c, 0x1007, 0x13d4, 0x1c61, 0x0cd7, 0x057a, 0x19ec, 0x13a7, 0x11d9, 0x00f6,
+    0x0414, 0x09cc, 0x1d83, 0x0fc6, 0x163c, 0x01db, 0x1665, 0x12fa, 0x121d, 0x149c, 0x0b66, 0x152f, 0x0c42, 0x06b9, 0x0095, 0x15a8,
+    0x1905, 0x0ff2, 0x1761, 0x12cf, 0x1258, 0x0d94, 0x01c7, 0x1e13, 0x0c2f, 0x1e48, 0x04ac, 0x0eca, 0x061a, 0x024f, 0x08d3, 0x0e54,
+    0x095f, 0x1036, 0x0719, 0x1816, 0x0bb3, 0x1d15, 0x1f92, 0x1251, 0x0891, 0x0ddf, 0x0d49, 0x1f4c, 0x0c85, 0x11b6, 0x1e65, 0x1683,
+    0x18ee, 0x1992, 0x0198, 0x19c2, 0x007d, 0x10a0, 0x0d10, 0x0e39, 0x166d, 0x1520, 0x1090, 0x0fe1, 0x02bf, 0x05a7, 0x0c66, 0x0ba5,
+    0x104c, 0x160b, 0x1f77, 0x1f9a, 0x0ad6, 0x0d5b, 0x0a1e, 0x1b53, 0x05b5, 0x14d5, 0x0ca2, 0x028b, 0x1a99, 0x1ea2, 0x1ba1, 0x1edf,
+    0x0635, 0x0837, 0x0d29, 0x08f5, 0x15d4, 0x1b15, 0x085e, 0x16bc, 0x084a, 0x1cbb, 0x0a75, 0x0f64, 0x17f2, 0x069e, 0x02cd, 0x1508,
+    0x1dd2, 0x1707, 0x0794, 0x14f6, 0x1f71, 0x1d7d, 0x1b0d, 0x167c, 0x0653, 0x0dfa, 0x1b79, 0x1d9c, 0x1147, 0x12a7, 0x0a26, 0x08b1,
+    0x152e, 0x149b, 0x15a7, 0x06b8, 0x0fc5, 0x09cb, 0x12f9, 0x01da, 0x0579, 0x1c60, 0x00f5, 0x13a6, 0x1c3b, 0x1579, 0x1006, 0x002f,
+    0x1f4b, 0x0dde, 0x1682, 0x11b5, 0x1815, 0x1035, 0x1250, 0x1d14, 0x0ec9, 0x1e47, 0x0e53, 0x024e, 0x12ce, 0x0ff1, 0x1e12, 0x0d93,
+    0x028a, 0x14d4, 0x1ede, 0x1ea1, 0x1f99, 0x160a, 0x1b52, 0x0d5a, 0x0fe0, 0x151f, 0x0ba4, 0x05a6, 0x19c1, 0x1991, 0x0e38, 0x109f,
+    0x1d9b, 0x0df9, 0x08b0, 0x12a6, 0x14f5, 0x1706, 0x167b, 0x1d7c, 0x0f63, 0x1cba, 0x1507, 0x069d, 0x08f4, 0x0836, 0x16bb, 0x1b14,
+    0x024d, 0x1e46, 0x0d92, 0x0ff0, 0x11b4, 0x0ddd, 0x1d13, 0x1034, 0x13a5, 0x1c5f, 0x002e, 0x1578, 0x06b7, 0x149a, 0x01d9, 0x09ca,
+    0x069c, 0x1cb9, 0x1b13, 0x0835, 0x12a5, 0x0df8, 0x1d7b, 0x1705, 0x05a5, 0x151e, 0x109e, 0x1990, 0x1ea0, 0x14d3, 0x0d59, 0x1609,
+    0x198f, 0x151d, 0x1608, 0x14d2, 0x0834, 0x1cb8, 0x1704, 0x0df7, 0x1577, 0x1c5e, 0x09c9, 0x1499, 0x0fef, 0x1e45, 0x1033, 0x0ddc,
+    0x1e43, 0x1c5c, 0x1cb6, 0x151b, 0x151a, 0x1c5b, 0x1c59, 0x1c5a, 0x1498, 0x1c5d, 0x0ddb, 0x1e44, 0x14d1, 0x151c, 0x0df6, 0x1cb7
+  },
+
+  /* "alpha_to" table */
+
+  {
+    0x0001, 0x0002, 0x0004, 0x0008, 0x0010, 0x0020, 0x0040, 0x0080, 0x0100, 0x0200, 0x0400, 0x0800, 0x1000, 0x001b, 0x0036, 0x006c,
+    0x00d8, 0x01b0, 0x0360, 0x06c0, 0x0d80, 0x1b00, 0x161b, 0x0c2d, 0x185a, 0x10af, 0x0145, 0x028a, 0x0514, 0x0a28, 0x1450, 0x08bb,
+    0x1176, 0x02f7, 0x05ee, 0x0bdc, 0x17b8, 0x0f6b, 0x1ed6, 0x1db7, 0x1b75, 0x16f1, 0x0df9, 0x1bf2, 0x17ff, 0x0fe5, 0x1fca, 0x1f8f,
+    0x1f05, 0x1e11, 0x1c39, 0x1869, 0x10c9, 0x0189, 0x0312, 0x0624, 0x0c48, 0x1890, 0x113b, 0x026d, 0x04da, 0x09b4, 0x1368, 0x06cb,
+    0x0d96, 0x1b2c, 0x1643, 0x0c9d, 0x193a, 0x126f, 0x04c5, 0x098a, 0x1314, 0x0633, 0x0c66, 0x18cc, 0x1183, 0x031d, 0x063a, 0x0c74,
+    0x18e8, 0x11cb, 0x038d, 0x071a, 0x0e34, 0x1c68, 0x18cb, 0x118d, 0x0301, 0x0602, 0x0c04, 0x1808, 0x100b, 0x000d, 0x001a, 0x0034,
+    0x0068, 0x00d0, 0x01a0, 0x0340, 0x0680, 0x0d00, 0x1a00, 0x141b, 0x082d, 0x105a, 0x00af, 0x015e, 0x02bc, 0x0578, 0x0af0, 0x15e0,
+    0x0bdb, 0x17b6, 0x0f77, 0x1eee, 0x1dc7, 0x1b95, 0x1731, 0x0e79, 0x1cf2, 0x19ff, 0x13e5, 0x07d1, 0x0fa2, 0x1f44, 0x1e93, 0x1d3d,
+    0x1a61, 0x14d9, 0x09a9, 0x1352, 0x06bf, 0x0d7e, 0x1afc, 0x15e3, 0x0bdd, 0x17ba, 0x0f6f, 0x1ede, 0x1da7, 0x1b55, 0x16b1, 0x0d79,
+    0x1af2, 0x15ff, 0x0be5, 0x17ca, 0x0f8f, 0x1f1e, 0x1e27, 0x1c55, 0x18b1, 0x1179, 0x02e9, 0x05d2, 0x0ba4, 0x1748, 0x0e8b, 0x1d16,
+    0x1a37, 0x1475, 0x08f1, 0x11e2, 0x03df, 0x07be, 0x0f7c, 0x1ef8, 0x1deb, 0x1bcd, 0x1781, 0x0f19, 0x1e32, 0x1c7f, 0x18e5, 0x11d1,
+    0x03b9, 0x0772, 0x0ee4, 0x1dc8, 0x1b8b, 0x170d, 0x0e01, 0x1c02, 0x181f, 0x1025, 0x0051, 0x00a2, 0x0144, 0x0288, 0x0510, 0x0a20,
+    0x1440, 0x089b, 0x1136, 0x0277, 0x04ee, 0x09dc, 0x13b8, 0x076b, 0x0ed6, 0x1dac, 0x1b43, 0x169d, 0x0d21, 0x1a42, 0x149f, 0x0925,
+    0x124a, 0x048f, 0x091e, 0x123c, 0x0463, 0x08c6, 0x118c, 0x0303, 0x0606, 0x0c0c, 0x1818, 0x102b, 0x004d, 0x009a, 0x0134, 0x0268,
+    0x04d0, 0x09a0, 0x1340, 0x069b, 0x0d36, 0x1a6c, 0x14c3, 0x099d, 0x133a, 0x066f, 0x0cde, 0x19bc, 0x1363, 0x06dd, 0x0dba, 0x1b74,
+    0x16f3, 0x0dfd, 0x1bfa, 0x17ef, 0x0fc5, 0x1f8a, 0x1f0f, 0x1e05, 0x1c11, 0x1839, 0x1069, 0x00c9, 0x0192, 0x0324, 0x0648, 0x0c90,
+    0x1920, 0x125b, 0x04ad, 0x095a, 0x12b4, 0x0573, 0x0ae6, 0x15cc, 0x0b83, 0x1706, 0x0e17, 0x1c2e, 0x1847, 0x1095, 0x0131, 0x0262,
+    0x04c4, 0x0988, 0x1310, 0x063b, 0x0c76, 0x18ec, 0x11c3, 0x039d, 0x073a, 0x0e74, 0x1ce8, 0x19cb, 0x138d, 0x0701, 0x0e02, 0x1c04,
+    0x1813, 0x103d, 0x0061, 0x00c2, 0x0184, 0x0308, 0x0610, 0x0c20, 0x1840, 0x109b, 0x012d, 0x025a, 0x04b4, 0x0968, 0x12d0, 0x05bb,
+    0x0b76, 0x16ec, 0x0dc3, 0x1b86, 0x1717, 0x0e35, 0x1c6a, 0x18cf, 0x1185, 0x0311, 0x0622, 0x0c44, 0x1888, 0x110b, 0x020d, 0x041a,
+    0x0834, 0x1068, 0x00cb, 0x0196, 0x032c, 0x0658, 0x0cb0, 0x1960, 0x12db, 0x05ad, 0x0b5a, 0x16b4, 0x0d73, 0x1ae6, 0x15d7, 0x0bb5,
+    0x176a, 0x0ecf, 0x1d9e, 0x1b27, 0x1655, 0x0cb1, 0x1962, 0x12df, 0x05a5, 0x0b4a, 0x1694, 0x0d33, 0x1a66, 0x14d7, 0x09b5, 0x136a,
+    0x06cf, 0x0d9e, 0x1b3c, 0x1663, 0x0cdd, 0x19ba, 0x136f, 0x06c5, 0x0d8a, 0x1b14, 0x1633, 0x0c7d, 0x18fa, 0x11ef, 0x03c5, 0x078a,
+    0x0f14, 0x1e28, 0x1c4b, 0x188d, 0x1101, 0x0219, 0x0432, 0x0864, 0x10c8, 0x018b, 0x0316, 0x062c, 0x0c58, 0x18b0, 0x117b, 0x02ed,
+    0x05da, 0x0bb4, 0x1768, 0x0ecb, 0x1d96, 0x1b37, 0x1675, 0x0cf1, 0x19e2, 0x13df, 0x07a5, 0x0f4a, 0x1e94, 0x1d33, 0x1a7d, 0x14e1,
+    0x09d9, 0x13b2, 0x077f, 0x0efe, 0x1dfc, 0x1be3, 0x17dd, 0x0fa1, 0x1f42, 0x1e9f, 0x1d25, 0x1a51, 0x14b9, 0x0969, 0x12d2, 0x05bf,
+    0x0b7e, 0x16fc, 0x0de3, 0x1bc6, 0x1797, 0x0f35, 0x1e6a, 0x1ccf, 0x1985, 0x1311, 0x0639, 0x0c72, 0x18e4, 0x11d3, 0x03bd, 0x077a,
+    0x0ef4, 0x1de8, 0x1bcb, 0x178d, 0x0f01, 0x1e02, 0x1c1f, 0x1825, 0x1051, 0x00b9, 0x0172, 0x02e4, 0x05c8, 0x0b90, 0x1720, 0x0e5b,
+    0x1cb6, 0x1977, 0x12f5, 0x05f1, 0x0be2, 0x17c4, 0x0f93, 0x1f26, 0x1e57, 0x1cb5, 0x1971, 0x12f9, 0x05e9, 0x0bd2, 0x17a4, 0x0f53,
+    0x1ea6, 0x1d57, 0x1ab5, 0x1571, 0x0af9, 0x15f2, 0x0bff, 0x17fe, 0x0fe7, 0x1fce, 0x1f87, 0x1f15, 0x1e31, 0x1c79, 0x18e9, 0x11c9,
+    0x0389, 0x0712, 0x0e24, 0x1c48, 0x188b, 0x110d, 0x0201, 0x0402, 0x0804, 0x1008, 0x000b, 0x0016, 0x002c, 0x0058, 0x00b0, 0x0160,
+    0x02c0, 0x0580, 0x0b00, 0x1600, 0x0c1b, 0x1836, 0x1077, 0x00f5, 0x01ea, 0x03d4, 0x07a8, 0x0f50, 0x1ea0, 0x1d5b, 0x1aad, 0x1541,
+    0x0a99, 0x1532, 0x0a7f, 0x14fe, 0x09e7, 0x13ce, 0x0787, 0x0f0e, 0x1e1c, 0x1c23, 0x185d, 0x10a1, 0x0159, 0x02b2, 0x0564, 0x0ac8,
+    0x1590, 0x0b3b, 0x1676, 0x0cf7, 0x19ee, 0x13c7, 0x0795, 0x0f2a, 0x1e54, 0x1cb3, 0x197d, 0x12e1, 0x05d9, 0x0bb2, 0x1764, 0x0ed3,
+    0x1da6, 0x1b57, 0x16b5, 0x0d71, 0x1ae2, 0x15df, 0x0ba5, 0x174a, 0x0e8f, 0x1d1e, 0x1a27, 0x1455, 0x08b1, 0x1162, 0x02df, 0x05be,
+    0x0b7c, 0x16f8, 0x0deb, 0x1bd6, 0x17b7, 0x0f75, 0x1eea, 0x1dcf, 0x1b85, 0x1711, 0x0e39, 0x1c72, 0x18ff, 0x11e5, 0x03d1, 0x07a2,
+    0x0f44, 0x1e88, 0x1d0b, 0x1a0d, 0x1401, 0x0819, 0x1032, 0x007f, 0x00fe, 0x01fc, 0x03f8, 0x07f0, 0x0fe0, 0x1fc0, 0x1f9b, 0x1f2d,
+    0x1e41, 0x1c99, 0x1929, 0x1249, 0x0489, 0x0912, 0x1224, 0x0453, 0x08a6, 0x114c, 0x0283, 0x0506, 0x0a0c, 0x1418, 0x082b, 0x1056,
+    0x00b7, 0x016e, 0x02dc, 0x05b8, 0x0b70, 0x16e0, 0x0ddb, 0x1bb6, 0x1777, 0x0ef5, 0x1dea, 0x1bcf, 0x1785, 0x0f11, 0x1e22, 0x1c5f,
+    0x18a5, 0x1151, 0x02b9, 0x0572, 0x0ae4, 0x15c8, 0x0b8b, 0x1716, 0x0e37, 0x1c6e, 0x18c7, 0x1195, 0x0331, 0x0662, 0x0cc4, 0x1988,
+    0x130b, 0x060d, 0x0c1a, 0x1834, 0x1073, 0x00fd, 0x01fa, 0x03f4, 0x07e8, 0x0fd0, 0x1fa0, 0x1f5b, 0x1ead, 0x1d41, 0x1a99, 0x1529,
+    0x0a49, 0x1492, 0x093f, 0x127e, 0x04e7, 0x09ce, 0x139c, 0x0723, 0x0e46, 0x1c8c, 0x1903, 0x121d, 0x0421, 0x0842, 0x1084, 0x0113,
+    0x0226, 0x044c, 0x0898, 0x1130, 0x027b, 0x04f6, 0x09ec, 0x13d8, 0x07ab, 0x0f56, 0x1eac, 0x1d43, 0x1a9d, 0x1521, 0x0a59, 0x14b2,
+    0x097f, 0x12fe, 0x05e7, 0x0bce, 0x179c, 0x0f23, 0x1e46, 0x1c97, 0x1935, 0x1271, 0x04f9, 0x09f2, 0x13e4, 0x07d3, 0x0fa6, 0x1f4c,
+    0x1e83, 0x1d1d, 0x1a21, 0x1459, 0x08a9, 0x1152, 0x02bf, 0x057e, 0x0afc, 0x15f8, 0x0beb, 0x17d6, 0x0fb7, 0x1f6e, 0x1ec7, 0x1d95,
+    0x1b31, 0x1679, 0x0ce9, 0x19d2, 0x13bf, 0x0765, 0x0eca, 0x1d94, 0x1b33, 0x167d, 0x0ce1, 0x19c2, 0x139f, 0x0725, 0x0e4a, 0x1c94,
+    0x1933, 0x127d, 0x04e1, 0x09c2, 0x1384, 0x0713, 0x0e26, 0x1c4c, 0x1883, 0x111d, 0x0221, 0x0442, 0x0884, 0x1108, 0x020b, 0x0416,
+    0x082c, 0x1058, 0x00ab, 0x0156, 0x02ac, 0x0558, 0x0ab0, 0x1560, 0x0adb, 0x15b6, 0x0b77, 0x16ee, 0x0dc7, 0x1b8e, 0x1707, 0x0e15,
+    0x1c2a, 0x184f, 0x1085, 0x0111, 0x0222, 0x0444, 0x0888, 0x1110, 0x023b, 0x0476, 0x08ec, 0x11d8, 0x03ab, 0x0756, 0x0eac, 0x1d58,
+    0x1aab, 0x154d, 0x0a81, 0x1502, 0x0a1f, 0x143e, 0x0867, 0x10ce, 0x0187, 0x030e, 0x061c, 0x0c38, 0x1870, 0x10fb, 0x01ed, 0x03da,
+    0x07b4, 0x0f68, 0x1ed0, 0x1dbb, 0x1b6d, 0x16c1, 0x0d99, 0x1b32, 0x167f, 0x0ce5, 0x19ca, 0x138f, 0x0705, 0x0e0a, 0x1c14, 0x1833,
+    0x107d, 0x00e1, 0x01c2, 0x0384, 0x0708, 0x0e10, 0x1c20, 0x185b, 0x10ad, 0x0141, 0x0282, 0x0504, 0x0a08, 0x1410, 0x083b, 0x1076,
+    0x00f7, 0x01ee, 0x03dc, 0x07b8, 0x0f70, 0x1ee0, 0x1ddb, 0x1bad, 0x1741, 0x0e99, 0x1d32, 0x1a7f, 0x14e5, 0x09d1, 0x13a2, 0x075f,
+    0x0ebe, 0x1d7c, 0x1ae3, 0x15dd, 0x0ba1, 0x1742, 0x0e9f, 0x1d3e, 0x1a67, 0x14d5, 0x09b1, 0x1362, 0x06df, 0x0dbe, 0x1b7c, 0x16e3,
+    0x0ddd, 0x1bba, 0x176f, 0x0ec5, 0x1d8a, 0x1b0f, 0x1605, 0x0c11, 0x1822, 0x105f, 0x00a5, 0x014a, 0x0294, 0x0528, 0x0a50, 0x14a0,
+    0x095b, 0x12b6, 0x0577, 0x0aee, 0x15dc, 0x0ba3, 0x1746, 0x0e97, 0x1d2e, 0x1a47, 0x1495, 0x0931, 0x1262, 0x04df, 0x09be, 0x137c,
+    0x06e3, 0x0dc6, 0x1b8c, 0x1703, 0x0e1d, 0x1c3a, 0x186f, 0x10c5, 0x0191, 0x0322, 0x0644, 0x0c88, 0x1910, 0x123b, 0x046d, 0x08da,
+    0x11b4, 0x0373, 0x06e6, 0x0dcc, 0x1b98, 0x172b, 0x0e4d, 0x1c9a, 0x192f, 0x1245, 0x0491, 0x0922, 0x1244, 0x0493, 0x0926, 0x124c,
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+    0x12a3, 0x055d, 0x0aba, 0x1574, 0x0af3, 0x15e6, 0x0bd7, 0x17ae, 0x0f47, 0x1e8e, 0x1d07, 0x1a15, 0x1431, 0x0879, 0x10f2, 0x01ff,
+    0x03fe, 0x07fc, 0x0ff8, 0x1ff0, 0x1ffb, 0x1fed, 0x1fc1, 0x1f99, 0x1f29, 0x1e49, 0x1c89, 0x1909, 0x1209, 0x0409, 0x0812, 0x1024,
+    0x0053, 0x00a6, 0x014c, 0x0298, 0x0530, 0x0a60, 0x14c0, 0x099b, 0x1336, 0x0677, 0x0cee, 0x19dc, 0x13a3, 0x075d, 0x0eba, 0x1d74,
+    0x1af3, 0x15fd, 0x0be1, 0x17c2, 0x0f9f, 0x1f3e, 0x1e67, 0x1cd5, 0x19b1, 0x1379, 0x06e9, 0x0dd2, 0x1ba4, 0x1753, 0x0ebd, 0x1d7a,
+    0x1aef, 0x15c5, 0x0b91, 0x1722, 0x0e5f, 0x1cbe, 0x1967, 0x12d5, 0x05b1, 0x0b62, 0x16c4, 0x0d93, 0x1b26, 0x1657, 0x0cb5, 0x196a,
+    0x12cf, 0x0585, 0x0b0a, 0x1614, 0x0c33, 0x1866, 0x10d7, 0x01b5, 0x036a, 0x06d4, 0x0da8, 0x1b50, 0x16bb, 0x0d6d, 0x1ada, 0x15af,
+    0x0b45, 0x168a, 0x0d0f, 0x1a1e, 0x1427, 0x0855, 0x10aa, 0x014f, 0x029e, 0x053c, 0x0a78, 0x14f0, 0x09fb, 0x13f6, 0x07f7, 0x0fee,
+    0x1fdc, 0x1fa3, 0x1f5d, 0x1ea1, 0x1d59, 0x1aa9, 0x1549, 0x0a89, 0x1512, 0x0a3f, 0x147e, 0x08e7, 0x11ce, 0x0387, 0x070e, 0x0e1c,
+    0x1c38, 0x186b, 0x10cd, 0x0181, 0x0302, 0x0604, 0x0c08, 0x1810, 0x103b, 0x006d, 0x00da, 0x01b4, 0x0368, 0x06d0, 0x0da0, 0x1b40,
+    0x169b, 0x0d2d, 0x1a5a, 0x14af, 0x0945, 0x128a, 0x050f, 0x0a1e, 0x143c, 0x0863, 0x10c6, 0x0197, 0x032e, 0x065c, 0x0cb8, 0x1970,
+    0x12fb, 0x05ed, 0x0bda, 0x17b4, 0x0f73, 0x1ee6, 0x1dd7, 0x1bb5, 0x1771, 0x0ef9, 0x1df2, 0x1bff, 0x17e5, 0x0fd1, 0x1fa2, 0x1f5f,
+    0x1ea5, 0x1d51, 0x1ab9, 0x1569, 0x0ac9, 0x1592, 0x0b3f, 0x167e, 0x0ce7, 0x19ce, 0x1387, 0x0715, 0x0e2a, 0x1c54, 0x18b3, 0x117d,
+    0x02e1, 0x05c2, 0x0b84, 0x1708, 0x0e0b, 0x1c16, 0x1837, 0x1075, 0x00f1, 0x01e2, 0x03c4, 0x0788, 0x0f10, 0x1e20, 0x1c5b, 0x18ad,
+    0x1141, 0x0299, 0x0532, 0x0a64, 0x14c8, 0x098b, 0x1316, 0x0637, 0x0c6e, 0x18dc, 0x11a3, 0x035d, 0x06ba, 0x0d74, 0x1ae8, 0x15cb,
+    0x0b8d, 0x171a, 0x0e2f, 0x1c5e, 0x18a7, 0x1155, 0x02b1, 0x0562, 0x0ac4, 0x1588, 0x0b0b, 0x1616, 0x0c37, 0x186e, 0x10c7, 0x0195,
+    0x032a, 0x0654, 0x0ca8, 0x1950, 0x12bb, 0x056d, 0x0ada, 0x15b4, 0x0b73, 0x16e6, 0x0dd7, 0x1bae, 0x1747, 0x0e95, 0x1d2a, 0x1a4f,
+    0x1485, 0x0911, 0x1222, 0x045f, 0x08be, 0x117c, 0x02e3, 0x05c6, 0x0b8c, 0x1718, 0x0e2b, 0x1c56, 0x18b7, 0x1175, 0x02f1, 0x05e2,
+    0x0bc4, 0x1788, 0x0f0b, 0x1e16, 0x1c37, 0x1875, 0x10f1, 0x01f9, 0x03f2, 0x07e4, 0x0fc8, 0x1f90, 0x1f3b, 0x1e6d, 0x1cc1, 0x1999,
+    0x1329, 0x0649, 0x0c92, 0x1924, 0x1253, 0x04bd, 0x097a, 0x12f4, 0x05f3, 0x0be6, 0x17cc, 0x0f83, 0x1f06, 0x1e17, 0x1c35, 0x1871,
+    0x10f9, 0x01e9, 0x03d2, 0x07a4, 0x0f48, 0x1e90, 0x1d3b, 0x1a6d, 0x14c1, 0x0999, 0x1332, 0x067f, 0x0cfe, 0x19fc, 0x13e3, 0x07dd,
+    0x0fba, 0x1f74, 0x1ef3, 0x1dfd, 0x1be1, 0x17d9, 0x0fa9, 0x1f52, 0x1ebf, 0x1d65, 0x1ad1, 0x15b9, 0x0b69, 0x16d2, 0x0dbf, 0x1b7e,
+    0x16e7, 0x0dd5, 0x1baa, 0x174f, 0x0e85, 0x1d0a, 0x1a0f, 0x1405, 0x0811, 0x1022, 0x005f, 0x00be, 0x017c, 0x02f8, 0x05f0, 0x0be0,
+    0x17c0, 0x0f9b, 0x1f36, 0x1e77, 0x1cf5, 0x19f1, 0x13f9, 0x07e9, 0x0fd2, 0x1fa4, 0x1f53, 0x1ebd, 0x1d61, 0x1ad9, 0x15a9, 0x0b49,
+    0x1692, 0x0d3f, 0x1a7e, 0x14e7, 0x09d5, 0x13aa, 0x074f, 0x0e9e, 0x1d3c, 0x1a63, 0x14dd, 0x09a1, 0x1342, 0x069f, 0x0d3e, 0x1a7c,
+    0x14e3, 0x09dd, 0x13ba, 0x076f, 0x0ede, 0x1dbc, 0x1b63, 0x16dd, 0x0da1, 0x1b42, 0x169f, 0x0d25, 0x1a4a, 0x148f, 0x0905, 0x120a,
+    0x040f, 0x081e, 0x103c, 0x0063, 0x00c6, 0x018c, 0x0318, 0x0630, 0x0c60, 0x18c0, 0x119b, 0x032d, 0x065a, 0x0cb4, 0x1968, 0x12cb,
+    0x058d, 0x0b1a, 0x1634, 0x0c73, 0x18e6, 0x11d7, 0x03b5, 0x076a, 0x0ed4, 0x1da8, 0x1b4b, 0x168d, 0x0d01, 0x1a02, 0x141f, 0x0825,
+    0x104a, 0x008f, 0x011e, 0x023c, 0x0478, 0x08f0, 0x11e0, 0x03db, 0x07b6, 0x0f6c, 0x1ed8, 0x1dab, 0x1b4d, 0x1681, 0x0d19, 0x1a32,
+    0x147f, 0x08e5, 0x11ca, 0x038f, 0x071e, 0x0e3c, 0x1c78, 0x18eb, 0x11cd, 0x0381, 0x0702, 0x0e04, 0x1c08, 0x180b, 0x100d, 0x0001
+  }
+};
+
+#endif /* CONFIG_SAMA5_PMECC_GALOIS_ROMTABLES */
diff --git a/nuttx/arch/arm/src/sama5/sam_pmecc.h b/nuttx/arch/arm/src/sama5/sam_pmecc.h
index cd6350134..0fc1e687f 100644
--- a/nuttx/arch/arm/src/sama5/sam_pmecc.h
+++ b/nuttx/arch/arm/src/sama5/sam_pmecc.h
@@ -49,6 +49,9 @@
 #include <nuttx/config.h>
 #include <nuttx/mtd/nand_config.h>
 
+#include <stdint.h>
+#include <stdbool.h>
+
 /****************************************************************************
  * Pre-processor Definitions
  ****************************************************************************/
@@ -80,7 +83,7 @@
 #  undef CONFIG_SAMA5_EBICS3_PMECC
 #endif
 
-/* Count the number of banks that confaigured for NAND with PMECC support
+/* Count the number of banks that configured for NAND with PMECC support
  * enabled.
  */
 
@@ -155,6 +158,20 @@
 #  endif
 #endif
 
+/* Gallois Field Tables *****************************************************/
+
+/* Indexes of tables in Gallois Field tables */
+
+#define PMECC_GF_INDEX_OF     0
+#define PMECC_GF_ALPHA_TO     1
+
+/* Gallois Field tables for 512 and 1024 bytes sectors
+ * First raw is "index_of" and second one is "alpha_to"
+ */
+
+#define PMECC_GF_SIZEOF_512   0x2000
+#define PMECC_GF_SIZEOF_1024  0x4000
+
 /****************************************************************************
  * Public Types
  ****************************************************************************/
@@ -172,6 +189,26 @@ extern "C"
 #define EXTERN extern
 #endif
 
+/* Gallois Field tables for 512 bytes sectors. First raw is "index_of" and
+ * second one is "alpha_to"
+ */
+
+#ifdef CONFIG_SAMA5_PMECC_GALOIS_TABLE512_ROMADDR
+#  ifndef CONFIG_SAMA5_PMECC_GALOIS_TABLE512_ROMADDR
+#     error CONFIG_SAMA5_PMECC_GALOIS_TABLE512_ROMADDR is not defined
+#  endif
+#  define pmecc_gf512  ((const int16_t *)CONFIG_SAMA5_PMECC_GALOIS_TABLE512_ROMADDR)
+
+#  ifndef CONFIG_SAMA5_PMECC_GALOIS_TABLE1024_ROMADDR
+#     error CONFIG_SAMA5_PMECC_GALOIS_TABLE1024_ROMADDR is not defined
+#  endif
+#  define pmecc_gf1024 ((const int16_t *)CONFIG_SAMA5_PMECC_GALOIS_TABLE1024_ROMADDR)
+
+#else
+  EXTERN const uint16_t pmecc_gf512[2][PMECC_GF_SIZEOF_512];
+  EXTERN const uint16_t pmecc_gf1024[2][PMECC_GF_SIZEOF_1024];
+#endif
+
 /****************************************************************************
  * Public Functions
  ****************************************************************************/