[MTD] NAND: Add hardware ECC correction support to CAFÉ NAND driver

Signed-off-by: NDavid Woodhouse <dwmw2@infradead.org>

drivers/mtd/nand/cafe_nand.c → drivers/mtd/nand/cafe.c

@@ -29,12 +29,20 @@
 #define CAFE_NAND_TIMING2	0x28
 #define CAFE_NAND_TIMING3	0x2c
 #define CAFE_NAND_NONMEM	0x30
+#define CAFE_NAND_ECC_RESULT	0x3C
+#define CAFE_NAND_ECC_SYN01	0x50
+#define CAFE_NAND_ECC_SYN23	0x54
+#define CAFE_NAND_ECC_SYN45	0x58
+#define CAFE_NAND_ECC_SYN67	0x5c
 #define CAFE_NAND_DMA_CTRL	0x40
 #define CAFE_NAND_DMA_ADDR0	0x44
 #define CAFE_NAND_DMA_ADDR1	0x48
 #define CAFE_NAND_READ_DATA	0x1000
 #define CAFE_NAND_WRITE_DATA	0x2000
 
+int cafe_correct_ecc(unsigned char *buf,
+		     unsigned short *chk_syndrome_list);
+
 struct cafe_priv {
 	struct nand_chip nand;
 	struct pci_dev *pdev;
@@ -50,7 +58,7 @@ struct cafe_priv {
 	
 };
 
-static int usedma = 1;
+static int usedma = 0;
 module_param(usedma, int, 0644);
 
 static int skipbbt = 0;
@@ -59,6 +67,7 @@ module_param(skipbbt, int, 0644);
 static int debug = 0;
 module_param(debug, int, 0644);
 
+/* Hrm. Why isn't this already conditional on something in the struct device? */
 #define cafe_dev_dbg(dev, args...) do { if (debug) dev_dbg(dev, ##args); } while(0)
 
 
@@ -203,9 +212,11 @@ static void cafe_nand_cmdfunc(struct mtd_info *mtd, unsigned command,
 		writel(cafe->ctl2 | 0x100 | NAND_CMD_READSTART, cafe->mmio + CAFE_NAND_CTRL2);
 
  do_command:
+#if 0
 	// ECC on read only works if we ...
-	//	if (cafe->datalen == 2112)
-	//		cafe->datalen = 2062;
+	if (cafe->datalen == 2112)
+		cafe->datalen = 2062;
+#endif
 	cafe_dev_dbg(&cafe->pdev->dev, "dlen %x, ctl1 %x, ctl2 %x\n", 
 		cafe->datalen, ctl1, readl(cafe->mmio+CAFE_NAND_CTRL2));
 	/* NB: The datasheet lies -- we really should be subtracting 1 here */
@@ -311,8 +322,6 @@ static int cafe_nand_write_oob(struct mtd_info *mtd,
 {
 	int status = 0;
 
-	WARN_ON(chip->oob_poi != chip->buffers->oobwbuf);
-
 	chip->cmdfunc(mtd, NAND_CMD_SEQIN, mtd->writesize, page);
 	chip->write_buf(mtd, chip->oob_poi, mtd->oobsize);
 	chip->cmdfunc(mtd, NAND_CMD_PAGEPROG, -1, -1);
@@ -343,13 +352,33 @@ static int cafe_nand_read_page(struct mtd_info *mtd, struct nand_chip *chip,
 {
 	struct cafe_priv *cafe = mtd->priv;
 
-	WARN_ON(chip->oob_poi != chip->buffers->oobrbuf);
-
-	cafe_dev_dbg(&cafe->pdev->dev, "ECC result %08x SYN1,2 %08x\n", readl(cafe->mmio + 0x3c), readl(cafe->mmio + 0x50));
+	dev_dbg(&cafe->pdev->dev, "ECC result %08x SYN1,2 %08x\n",
+		readl(cafe->mmio + CAFE_NAND_ECC_RESULT),
+		readl(cafe->mmio + CAFE_NAND_ECC_SYN01));
 
 	chip->read_buf(mtd, buf, mtd->writesize);
 	chip->read_buf(mtd, chip->oob_poi, mtd->oobsize);
 
+	if (readl(cafe->mmio + CAFE_NAND_ECC_RESULT) & (1<<18)) {
+		unsigned short syn[8];
+		int i;
+
+		for (i=0; i<8; i+=2) {
+			uint32_t tmp = readl(cafe->mmio + CAFE_NAND_ECC_SYN01 + (i*2));
+			syn[i] = tmp & 0xfff;
+			syn[i+1] = (tmp >> 16) & 0xfff;
+		} 
+
+		if ((i = cafe_correct_ecc(buf, syn)) < 0) {
+			dev_dbg(&cafe->pdev->dev, "Failed to correct ECC\n");
+			mtd->ecc_stats.failed++;
+		} else {
+			dev_dbg(&cafe->pdev->dev, "Corrected %d symbol errors\n", i);
+			mtd->ecc_stats.corrected += i;
+		}
+	}
+
+
 	return 0;
 }
 
@@ -390,14 +419,11 @@ static struct nand_ecclayout cafe_oobinfo_512 = {
 	.oobfree = {{14, 2}}
 };
 
-
 static void cafe_nand_write_page_lowlevel(struct mtd_info *mtd,
 					  struct nand_chip *chip, const uint8_t *buf)
 {
 	struct cafe_priv *cafe = mtd->priv;
 
-	WARN_ON(chip->oob_poi != chip->buffers->oobwbuf);
-
 	chip->write_buf(mtd, buf, mtd->writesize);
 	chip->write_buf(mtd, chip->oob_poi, mtd->oobsize);
 
@@ -412,8 +438,6 @@ static int cafe_nand_write_page(struct mtd_info *mtd, struct nand_chip *chip,
 {
 	int status;
 
-	WARN_ON(chip->oob_poi != chip->buffers->oobwbuf);
-
 	chip->cmdfunc(mtd, NAND_CMD_SEQIN, 0x00, page);
 
 	if (unlikely(raw))

drivers/mtd/nand/cafe_ecc.c

+/* Error correction for CAFÉ NAND controller 
+ *
+ * © 2006 Marvell, Inc.
+ * Author: Tom Chiou
+ *
+ * This program is free software; you can redistribute it and/or modify it 
+ * under the terms of the GNU General Public License as published by the Free 
+ * Software Foundation; either version 2 of the License, or (at your option) 
+ * any later version.
+ *
+ * This program is distributed in the hope that it will be useful, but WITHOUT 
+ * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or 
+ * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License for 
+ * more details.
+ *
+ * You should have received a copy of the GNU General Public License along with
+ * this program; if not, write to the Free Software Foundation, Inc., 59 
+ * Temple Place - Suite 330, Boston, MA  02111-1307, USA.
+ */
+
+#include <linux/kernel.h>
+#include <linux/errno.h>
+
+static unsigned short gf4096_mul(unsigned short, unsigned short);
+static unsigned short gf64_mul(unsigned short, unsigned short);
+static unsigned short gf4096_inv(unsigned short);
+static unsigned short err_pos(unsigned short);
+static void find_4bit_err_coefs(unsigned short, unsigned short, unsigned short,
+				unsigned short, unsigned short, unsigned short,
+				unsigned short, unsigned short, unsigned short *);
+static void zero_4x5_col3(unsigned short[4][5]);
+static void zero_4x5_col2(unsigned short[4][5]);
+static void zero_4x5_col1(unsigned short[4][5]);
+static void swap_4x5_rows(unsigned short[4][5], int, int, int);
+static void swap_2x3_rows(unsigned short m[2][3]);
+static void solve_4x5(unsigned short m[4][5], unsigned short *, int *);
+static void sort_coefs(int *, unsigned short *, int);
+static void find_4bit_err_pats(unsigned short, unsigned short, unsigned short,
+			       unsigned short, unsigned short, unsigned short,
+			       unsigned short, unsigned short, unsigned short *);
+static void find_3bit_err_coefs(unsigned short, unsigned short, unsigned short,
+				unsigned short, unsigned short, unsigned short,
+				unsigned short *);
+static void zero_3x4_col2(unsigned short[3][4]);
+static void zero_3x4_col1(unsigned short[3][4]);
+static void swap_3x4_rows(unsigned short[3][4], int, int, int);
+static void solve_3x4(unsigned short[3][4], unsigned short *, int *);
+static void find_3bit_err_pats(unsigned short, unsigned short, unsigned short,
+			       unsigned short, unsigned short, unsigned short,
+			       unsigned short *);
+
+static void find_2bit_err_pats(unsigned short, unsigned short, unsigned short,
+			       unsigned short, unsigned short *);
+static void find_2x2_soln(unsigned short, unsigned short, unsigned short,
+			  unsigned short, unsigned short, unsigned short,
+			  unsigned short *);
+static void solve_2x3(unsigned short[2][3], unsigned short *);
+static int chk_no_err_only(unsigned short *, unsigned short *);
+static int chk_1_err_only(unsigned short *, unsigned short *);
+static int chk_2_err_only(unsigned short *, unsigned short *);
+static int chk_3_err_only(unsigned short *, unsigned short *);
+static int chk_4_err_only(unsigned short *, unsigned short *);
+
+static unsigned short gf64_mul(unsigned short a, unsigned short b)
+{
+	unsigned short tmp1, tmp2, tmp3, tmp4, tmp5;
+	unsigned short c_bit0, c_bit1, c_bit2, c_bit3, c_bit4, c_bit5, c;
+
+	tmp1 = ((a) ^ (a >> 5));
+	tmp2 = ((a >> 4) ^ (a >> 5));
+	tmp3 = ((a >> 3) ^ (a >> 4));
+	tmp4 = ((a >> 2) ^ (a >> 3));
+	tmp5 = ((a >> 1) ^ (a >> 2));
+
+	c_bit0 = ((a & b) ^ ((a >> 5) & (b >> 1)) ^ ((a >> 4) & (b >> 2)) ^
+		  ((a >> 3) & (b >> 3)) ^ ((a >> 2) & (b >> 4)) ^ ((a >> 1) & (b >> 5))) & 0x1;
+
+	c_bit1 = (((a >> 1) & b) ^ (tmp1 & (b >> 1)) ^ (tmp2 & (b >> 2)) ^
+		  (tmp3 & (b >> 3)) ^ (tmp4 & (b >> 4)) ^ (tmp5 & (b >> 5))) & 0x1;
+
+	c_bit2 = (((a >> 2) & b) ^ ((a >> 1) & (b >> 1)) ^ (tmp1 & (b >> 2)) ^
+		  (tmp2 & (b >> 3)) ^ (tmp3 & (b >> 4)) ^ (tmp4 & (b >> 5))) & 0x1;
+
+	c_bit3 = (((a >> 3) & b) ^ ((a >> 2) & (b >> 1)) ^ ((a >> 1) & (b >> 2)) ^
+		  (tmp1 & (b >> 3)) ^ (tmp2 & (b >> 4)) ^ (tmp3 & (b >> 5))) & 0x1;
+
+	c_bit4 = (((a >> 4) & b) ^ ((a >> 3) & (b >> 1)) ^ ((a >> 2) & (b >> 2)) ^
+		  ((a >> 1) & (b >> 3)) ^ (tmp1 & (b >> 4)) ^ (tmp2 & (b >> 5))) & 0x1;
+
+	c_bit5 = (((a >> 5) & b) ^ ((a >> 4) & (b >> 1)) ^ ((a >> 3) & (b >> 2)) ^
+		  ((a >> 2) & (b >> 3)) ^ ((a >> 1) & (b >> 4)) ^ (tmp1 & (b >> 5))) & 0x1;
+
+	c = c_bit0 | (c_bit1 << 1) | (c_bit2 << 2) | (c_bit3 << 3) | (c_bit4 << 4) | (c_bit5 << 5);
+
+	return c;
+}
+
+static unsigned short gf4096_mul(unsigned short a, unsigned short b)
+{
+	unsigned short ah, al, bh, bl, alxah, blxbh, ablh, albl, ahbh, ahbhB, c;
+
+	ah = (a >> 6) & 0x3f;
+	al = a & 0x3f;
+	bh = (b >> 6) & 0x3f;
+	bl = b & 0x3f;
+	alxah = al ^ ah;
+	blxbh = bl ^ bh;
+
+	ablh = gf64_mul(alxah, blxbh);
+	albl = gf64_mul(al, bl);
+	ahbh = gf64_mul(ah, bh);
+
+	ahbhB = ((ahbh & 0x1) << 5) |
+	    ((ahbh & 0x20) >> 1) |
+	    ((ahbh & 0x10) >> 1) | ((ahbh & 0x8) >> 1) | ((ahbh & 0x4) >> 1) | (((ahbh >> 1) ^ ahbh) & 0x1);
+
+	c = ((ablh ^ albl) << 6) | (ahbhB ^ albl);
+	return c;
+}
+
+static void find_2bit_err_pats(unsigned short s0, unsigned short s1, unsigned short r0, unsigned short r1, unsigned short *pats)
+{
+	find_2x2_soln(0x1, 0x1, r0, r1, s0, s1, pats);
+}
+
+static void find_3bit_err_coefs(unsigned short s0, unsigned short s1,
+				unsigned short s2, unsigned short s3, unsigned short s4, unsigned short s5, unsigned short *coefs)
+{
+	unsigned short m[3][4];
+	int row_order[3];
+
+	row_order[0] = 0;
+	row_order[1] = 1;
+	row_order[2] = 2;
+	m[0][0] = s2;
+	m[0][1] = s1;
+	m[0][2] = s0;
+	m[0][3] = s3;
+	m[1][0] = s3;
+	m[1][1] = s2;
+	m[1][2] = s1;
+	m[1][3] = s4;
+	m[2][0] = s4;
+	m[2][1] = s3;
+	m[2][2] = s2;
+	m[2][3] = s5;
+
+	if (m[0][2] != 0x0) {
+		zero_3x4_col2(m);
+	} else if (m[1][2] != 0x0) {
+		swap_3x4_rows(m, 0, 1, 4);
+		zero_3x4_col2(m);
+	} else if (m[2][2] != 0x0) {
+		swap_3x4_rows(m, 0, 2, 4);
+		zero_3x4_col2(m);
+	} else {
+		printk(KERN_ERR "Error: find_3bit_err_coefs, s0,s1,s2 all zeros!\n");
+	}
+
+	if (m[1][1] != 0x0) {
+		zero_3x4_col1(m);
+	} else if (m[2][1] != 0x0) {
+		swap_3x4_rows(m, 1, 2, 4);
+		zero_3x4_col1(m);
+	} else {
+		printk(KERN_ERR "Error: find_3bit_err_coefs, cannot resolve col 1!\n");
+	}
+
+	/* solve coefs */
+	solve_3x4(m, coefs, row_order);
+}
+
+static void zero_3x4_col2(unsigned short m[3][4])
+{
+	unsigned short minv1, minv2;
+
+	minv1 = gf4096_mul(m[1][2], gf4096_inv(m[0][2]));
+	minv2 = gf4096_mul(m[2][2], gf4096_inv(m[0][2]));
+	m[1][0] = m[1][0] ^ gf4096_mul(m[0][0], minv1);
+	m[1][1] = m[1][1] ^ gf4096_mul(m[0][1], minv1);
+	m[1][3] = m[1][3] ^ gf4096_mul(m[0][3], minv1);
+	m[2][0] = m[2][0] ^ gf4096_mul(m[0][0], minv2);
+	m[2][1] = m[2][1] ^ gf4096_mul(m[0][1], minv2);
+	m[2][3] = m[2][3] ^ gf4096_mul(m[0][3], minv2);
+}
+
+static void zero_3x4_col1(unsigned short m[3][4])
+{
+	unsigned short minv;
+	minv = gf4096_mul(m[2][1], gf4096_inv(m[1][1]));
+	m[2][0] = m[2][0] ^ gf4096_mul(m[1][0], minv);
+	m[2][3] = m[2][3] ^ gf4096_mul(m[1][3], minv);
+}
+
+static void swap_3x4_rows(unsigned short m[3][4], int i, int j, int col_width)
+{
+	unsigned short tmp0;
+	int cnt;
+	for (cnt = 0; cnt < col_width; cnt++) {
+		tmp0 = m[i][cnt];
+		m[i][cnt] = m[j][cnt];
+		m[j][cnt] = tmp0;
+	}
+}
+
+static void solve_3x4(unsigned short m[3][4], unsigned short *coefs, int *row_order)
+{
+	unsigned short tmp[3];
+	tmp[0] = gf4096_mul(m[2][3], gf4096_inv(m[2][0]));
+	tmp[1] = gf4096_mul((gf4096_mul(tmp[0], m[1][0]) ^ m[1][3]), gf4096_inv(m[1][1]));
+	tmp[2] = gf4096_mul((gf4096_mul(tmp[0], m[0][0]) ^ gf4096_mul(tmp[1], m[0][1]) ^ m[0][3]), gf4096_inv(m[0][2]));
+	sort_coefs(row_order, tmp, 3);
+	coefs[0] = tmp[0];
+	coefs[1] = tmp[1];
+	coefs[2] = tmp[2];
+}
+
+static void find_3bit_err_pats(unsigned short s0, unsigned short s1,
+			       unsigned short s2, unsigned short r0,
+			       unsigned short r1, unsigned short r2,
+			       unsigned short *pats)
+{
+	find_2x2_soln(r0 ^ r2, r1 ^ r2,
+		      gf4096_mul(r0, r0 ^ r2), gf4096_mul(r1, r1 ^ r2),
+		      gf4096_mul(s0, r2) ^ s1, gf4096_mul(s1, r2) ^ s2, pats);
+	pats[2] = s0 ^ pats[0] ^ pats[1];
+}
+
+static void find_4bit_err_coefs(unsigned short s0, unsigned short s1,
+				unsigned short s2, unsigned short s3,
+				unsigned short s4, unsigned short s5,
+				unsigned short s6, unsigned short s7,
+				unsigned short *coefs)
+{
+	unsigned short m[4][5];
+	int row_order[4];
+
+	row_order[0] = 0;
+	row_order[1] = 1;
+	row_order[2] = 2;
+	row_order[3] = 3;
+
+	m[0][0] = s3;
+	m[0][1] = s2;
+	m[0][2] = s1;
+	m[0][3] = s0;
+	m[0][4] = s4;
+	m[1][0] = s4;
+	m[1][1] = s3;
+	m[1][2] = s2;
+	m[1][3] = s1;
+	m[1][4] = s5;
+	m[2][0] = s5;
+	m[2][1] = s4;
+	m[2][2] = s3;
+	m[2][3] = s2;
+	m[2][4] = s6;
+	m[3][0] = s6;
+	m[3][1] = s5;
+	m[3][2] = s4;
+	m[3][3] = s3;
+	m[3][4] = s7;
+
+	if (m[0][3] != 0x0) {
+		zero_4x5_col3(m);
+	} else if (m[1][3] != 0x0) {
+		swap_4x5_rows(m, 0, 1, 5);
+		zero_4x5_col3(m);
+	} else if (m[2][3] != 0x0) {
+		swap_4x5_rows(m, 0, 2, 5);
+		zero_4x5_col3(m);
+	} else if (m[3][3] != 0x0) {
+		swap_4x5_rows(m, 0, 3, 5);
+		zero_4x5_col3(m);
+	} else {
+		printk(KERN_ERR "Error: find_4bit_err_coefs, s0,s1,s2,s3 all zeros!\n");
+	}
+
+	if (m[1][2] != 0x0) {
+		zero_4x5_col2(m);
+	} else if (m[2][2] != 0x0) {
+		swap_4x5_rows(m, 1, 2, 5);
+		zero_4x5_col2(m);
+	} else if (m[3][2] != 0x0) {
+		swap_4x5_rows(m, 1, 3, 5);
+		zero_4x5_col2(m);
+	} else {
+		printk(KERN_ERR "Error: find_4bit_err_coefs, cannot resolve col 2!\n");
+	}
+
+	if (m[2][1] != 0x0) {
+		zero_4x5_col1(m);
+	} else if (m[3][1] != 0x0) {
+		swap_4x5_rows(m, 2, 3, 5);
+		zero_4x5_col1(m);
+	} else {
+		printk(KERN_ERR "Error: find_4bit_err_coefs, cannot resolve col 1!\n");
+	}
+
+	solve_4x5(m, coefs, row_order);
+}
+
+static void zero_4x5_col3(unsigned short m[4][5])
+{
+	unsigned short minv1, minv2, minv3;
+
+	minv1 = gf4096_mul(m[1][3], gf4096_inv(m[0][3]));
+	minv2 = gf4096_mul(m[2][3], gf4096_inv(m[0][3]));
+	minv3 = gf4096_mul(m[3][3], gf4096_inv(m[0][3]));
+
+	m[1][0] = m[1][0] ^ gf4096_mul(m[0][0], minv1);
+	m[1][1] = m[1][1] ^ gf4096_mul(m[0][1], minv1);
+	m[1][2] = m[1][2] ^ gf4096_mul(m[0][2], minv1);
+	m[1][4] = m[1][4] ^ gf4096_mul(m[0][4], minv1);
+	m[2][0] = m[2][0] ^ gf4096_mul(m[0][0], minv2);
+	m[2][1] = m[2][1] ^ gf4096_mul(m[0][1], minv2);
+	m[2][2] = m[2][2] ^ gf4096_mul(m[0][2], minv2);
+	m[2][4] = m[2][4] ^ gf4096_mul(m[0][4], minv2);
+	m[3][0] = m[3][0] ^ gf4096_mul(m[0][0], minv3);
+	m[3][1] = m[3][1] ^ gf4096_mul(m[0][1], minv3);
+	m[3][2] = m[3][2] ^ gf4096_mul(m[0][2], minv3);
+	m[3][4] = m[3][4] ^ gf4096_mul(m[0][4], minv3);
+}
+
+static void zero_4x5_col2(unsigned short m[4][5])
+{
+	unsigned short minv2, minv3;
+
+	minv2 = gf4096_mul(m[2][2], gf4096_inv(m[1][2]));
+	minv3 = gf4096_mul(m[3][2], gf4096_inv(m[1][2]));
+
+	m[2][0] = m[2][0] ^ gf4096_mul(m[1][0], minv2);
+	m[2][1] = m[2][1] ^ gf4096_mul(m[1][1], minv2);
+	m[2][4] = m[2][4] ^ gf4096_mul(m[1][4], minv2);
+	m[3][0] = m[3][0] ^ gf4096_mul(m[1][0], minv3);
+	m[3][1] = m[3][1] ^ gf4096_mul(m[1][1], minv3);
+	m[3][4] = m[3][4] ^ gf4096_mul(m[1][4], minv3);
+}
+
+static void zero_4x5_col1(unsigned short m[4][5])
+{
+	unsigned short minv;
+
+	minv = gf4096_mul(m[3][1], gf4096_inv(m[2][1]));
+
+	m[3][0] = m[3][0] ^ gf4096_mul(m[2][0], minv);
+	m[3][4] = m[3][4] ^ gf4096_mul(m[2][4], minv);
+}
+
+static void swap_4x5_rows(unsigned short m[4][5], int i, int j, int col_width)
+{
+	unsigned short tmp0;
+	int cnt;
+
+	for (cnt = 0; cnt < col_width; cnt++) {
+		tmp0 = m[i][cnt];
+		m[i][cnt] = m[j][cnt];
+		m[j][cnt] = tmp0;
+	}
+}
+
+static void solve_4x5(unsigned short m[4][5], unsigned short *coefs, int *row_order)
+{
+	unsigned short tmp[4];
+
+	tmp[0] = gf4096_mul(m[3][4], gf4096_inv(m[3][0]));
+	tmp[1] = gf4096_mul((gf4096_mul(tmp[0], m[2][0]) ^ m[2][4]), gf4096_inv(m[2][1]));
+	tmp[2] = gf4096_mul((gf4096_mul(tmp[0], m[1][0]) ^ gf4096_mul(tmp[1], m[1][1]) ^ m[1][4]), gf4096_inv(m[1][2]));
+	tmp[3] = gf4096_mul((gf4096_mul(tmp[0], m[0][0]) ^
+			gf4096_mul(tmp[1], m[0][1]) ^ gf4096_mul(tmp[2], m[0][2]) ^ m[0][4]), gf4096_inv(m[0][3]));
+	sort_coefs(row_order, tmp, 4);
+	coefs[0] = tmp[0];
+	coefs[1] = tmp[1];
+	coefs[2] = tmp[2];
+	coefs[3] = tmp[3];
+}
+
+static void sort_coefs(int *order, unsigned short *soln, int len)
+{
+	int cnt, start_cnt, least_ord, least_cnt;
+	unsigned short tmp0;
+	for (start_cnt = 0; start_cnt < len; start_cnt++) {
+		for (cnt = start_cnt; cnt < len; cnt++) {
+			if (cnt == start_cnt) {
+				least_ord = order[cnt];
+				least_cnt = start_cnt;
+			} else {
+				if (least_ord > order[cnt]) {
+					least_ord = order[cnt];
+					least_cnt = cnt;
+				}
+			}
+		}
+		if (least_cnt != start_cnt) {
+			tmp0 = order[least_cnt];
+			order[least_cnt] = order[start_cnt];
+			order[start_cnt] = tmp0;
+			tmp0 = soln[least_cnt];
+			soln[least_cnt] = soln[start_cnt];
+			soln[start_cnt] = tmp0;
+		}
+	}
+}
+
+static void find_4bit_err_pats(unsigned short s0, unsigned short s1,
+			       unsigned short s2, unsigned short s3,
+			       unsigned short z1, unsigned short z2,
+			       unsigned short z3, unsigned short z4,
+			       unsigned short *pats)
+{
+	unsigned short z4_z1, z3z4_z3z3, z4_z2, s0z4_s1, z1z4_z1z1,
+		z4_z3, z2z4_z2z2, s1z4_s2, z3z3z4_z3z3z3, z1z1z4_z1z1z1, z2z2z4_z2z2z2, s2z4_s3;
+	unsigned short tmp0, tmp1, tmp2, tmp3;
+
+	z4_z1 = z4 ^ z1;
+	z3z4_z3z3 = gf4096_mul(z3, z4) ^ gf4096_mul(z3, z3);
+	z4_z2 = z4 ^ z2;
+	s0z4_s1 = gf4096_mul(s0, z4) ^ s1;
+	z1z4_z1z1 = gf4096_mul(z1, z4) ^ gf4096_mul(z1, z1);
+	z4_z3 = z4 ^ z3;
+	z2z4_z2z2 = gf4096_mul(z2, z4) ^ gf4096_mul(z2, z2);
+	s1z4_s2 = gf4096_mul(s1, z4) ^ s2;
+	z3z3z4_z3z3z3 = gf4096_mul(gf4096_mul(z3, z3), z4) ^ gf4096_mul(gf4096_mul(z3, z3), z3);
+	z1z1z4_z1z1z1 = gf4096_mul(gf4096_mul(z1, z1), z4) ^ gf4096_mul(gf4096_mul(z1, z1), z1);
+	z2z2z4_z2z2z2 = gf4096_mul(gf4096_mul(z2, z2), z4) ^ gf4096_mul(gf4096_mul(z2, z2), z2);
+	s2z4_s3 = gf4096_mul(s2, z4) ^ s3;
+
+	//find err pat 0,1
+	find_2x2_soln(gf4096_mul(z4_z1, z3z4_z3z3) ^
+		      gf4096_mul(z1z4_z1z1, z4_z3), gf4096_mul(z4_z2,
+							       z3z4_z3z3) ^
+		      gf4096_mul(z2z4_z2z2, z4_z3), gf4096_mul(z1z4_z1z1,
+							       z3z3z4_z3z3z3) ^
+		      gf4096_mul(z1z1z4_z1z1z1, z3z4_z3z3),
+		      gf4096_mul(z2z4_z2z2,
+				 z3z3z4_z3z3z3) ^ gf4096_mul(z2z2z4_z2z2z2,
+							     z3z4_z3z3),
+		      gf4096_mul(s0z4_s1, z3z4_z3z3) ^ gf4096_mul(s1z4_s2,
+								  z4_z3),
+		      gf4096_mul(s1z4_s2, z3z3z4_z3z3z3) ^ gf4096_mul(s2z4_s3, z3z4_z3z3), pats);
+	tmp0 = pats[0];
+	tmp1 = pats[1];
+	tmp2 = pats[0] ^ pats[1] ^ s0;
+	tmp3 = gf4096_mul(pats[0], z1) ^ gf4096_mul(pats[1], z2) ^ s1;
+
+	//find err pat 2,3
+	find_2x2_soln(0x1, 0x1, z3, z4, tmp2, tmp3, pats);
+	pats[2] = pats[0];
+	pats[3] = pats[1];
+	pats[0] = tmp0;
+	pats[1] = tmp1;
+}
+
+static void find_2x2_soln(unsigned short c00, unsigned short c01,
+			  unsigned short c10, unsigned short c11,
+			  unsigned short lval0, unsigned short lval1,
+			  unsigned short *soln)
+{
+	unsigned short m[2][3];
+	m[0][0] = c00;
+	m[0][1] = c01;
+	m[0][2] = lval0;
+	m[1][0] = c10;
+	m[1][1] = c11;
+	m[1][2] = lval1;
+
+	if (m[0][1] != 0x0) {
+		/* */
+	} else if (m[1][1] != 0x0) {
+		swap_2x3_rows(m);
+	} else {
+		printk(KERN_ERR "Warning: find_2bit_err_coefs, s0,s1 all zeros!\n");
+	}
+
+	solve_2x3(m, soln);
+}
+
+static void swap_2x3_rows(unsigned short m[2][3])
+{
+	unsigned short tmp0;
+	int cnt;
+
+	for (cnt = 0; cnt < 3; cnt++) {
+		tmp0 = m[0][cnt];
+		m[0][cnt] = m[1][cnt];
+		m[1][cnt] = tmp0;
+	}
+}
+
+static void solve_2x3(unsigned short m[2][3], unsigned short *coefs)
+{
+	unsigned short minv;
+
+	minv = gf4096_mul(m[1][1], gf4096_inv(m[0][1]));
+	m[1][0] = m[1][0] ^ gf4096_mul(m[0][0], minv);
+	m[1][2] = m[1][2] ^ gf4096_mul(m[0][2], minv);
+	coefs[0] = gf4096_mul(m[1][2], gf4096_inv(m[1][0]));
+	coefs[1] = gf4096_mul((gf4096_mul(coefs[0], m[0][0]) ^ m[0][2]), gf4096_inv(m[0][1]));
+}
+
+static unsigned char gf64_inv[64] = {
+	0,  1, 33, 62, 49, 43, 31, 44, 57, 37, 52, 28, 46, 40, 22, 25, 
+	61, 54, 51, 39, 26, 35, 14, 24, 23, 15, 20, 34, 11, 53, 45,  6, 
+	63,  2, 27, 21, 56,  9, 50, 19, 13, 47, 48,  5,  7, 30, 12, 41, 
+	42,  4, 38, 18, 10, 29, 17, 60, 36,  8, 59, 58, 55, 16,  3, 32};
+
+static unsigned short gf4096_inv(unsigned short din)
+{
+	unsigned short alahxal, ah2B, deno, inv, bl, bh;
+	unsigned short ah, al, ahxal;
+	unsigned short dout;
+
+	ah = (din >> 6) & 0x3f;
+	al = din & 0x3f;
+	ahxal = ah ^ al;
+	ah2B = (((ah ^ (ah >> 3)) & 0x1) << 5) |
+		((ah >> 1) & 0x10) |
+		((((ah >> 5) ^ (ah >> 2)) & 0x1) << 3) |
+		((ah >> 2) & 0x4) | ((((ah >> 4) ^ (ah >> 1)) & 0x1) << 1) | (ah & 0x1);
+	alahxal = gf64_mul(ahxal, al);
+	deno = alahxal ^ ah2B;
+	inv = gf64_inv[deno];
+	bl = gf64_mul(inv, ahxal);
+	bh = gf64_mul(inv, ah);
+	dout = ((bh & 0x3f) << 6) | (bl & 0x3f);
+	return (((bh & 0x3f) << 6) | (bl & 0x3f));
+}
+
+static unsigned short err_pos_lut[4096] = {
+	0xfff, 0x000, 0x451, 0xfff, 0xfff, 0x3cf, 0xfff, 0x041, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x28a, 0xfff, 0x492, 0xfff, 
+	0x145, 0xfff, 0xfff, 0x514, 0xfff, 0x082, 0xfff, 0xfff, 
+	0xfff, 0x249, 0x38e, 0x410, 0xfff, 0x104, 0x208, 0x1c7, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x2cb, 0xfff, 0xfff, 0xfff, 
+	0x0c3, 0x34d, 0x4d3, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x186, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x30c, 0x555, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x166, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x385, 0x14e, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x4e1, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x538, 0xfff, 0x16d, 0xfff, 
+	0xfff, 0xfff, 0x45b, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x29c, 0x2cc, 0x30b, 0x2b3, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x0b3, 0xfff, 0x2f7, 
+	0xfff, 0x32b, 0xfff, 0xfff, 0xfff, 0xfff, 0x0a7, 0xfff, 
+	0xfff, 0x2da, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x07e, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x11c, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x22f, 0xfff, 0x1f4, 0xfff, 0xfff, 
+	0x2b0, 0x504, 0xfff, 0x114, 0xfff, 0xfff, 0xfff, 0x21d, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x00d, 0x3c4, 0x340, 0x10f, 
+	0xfff, 0xfff, 0x266, 0x02e, 0xfff, 0xfff, 0xfff, 0x4f8, 
+	0x337, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x07b, 0x168, 0xfff, 0xfff, 0x0fe, 
+	0xfff, 0xfff, 0x51a, 0xfff, 0x458, 0xfff, 0x36d, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x073, 0x37d, 0x415, 0x550, 0xfff, 
+	0xfff, 0xfff, 0x23b, 0x4b4, 0xfff, 0xfff, 0xfff, 0x1a1, 
+	0xfff, 0xfff, 0x3aa, 0xfff, 0x117, 0x04d, 0x341, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x518, 0x03e, 0x0f2, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x363, 0xfff, 0x0b9, 0xfff, 0xfff, 
+	0x241, 0xfff, 0xfff, 0x049, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x15f, 0x52d, 0xfff, 0xfff, 0xfff, 0x29e, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0x4cf, 0x0fc, 0xfff, 0x36f, 0x3d3, 0xfff, 
+	0x228, 0xfff, 0xfff, 0x45e, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x238, 0xfff, 0xfff, 0xfff, 0xfff, 0x47f, 0xfff, 0xfff, 
+	0x43a, 0x265, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x3e8, 
+	0xfff, 0xfff, 0x01a, 0xfff, 0xfff, 0xfff, 0xfff, 0x21e, 
+	0x1fc, 0x40b, 0xfff, 0xfff, 0xfff, 0x2d0, 0x159, 0xfff, 
+	0xfff, 0x313, 0xfff, 0xfff, 0x05c, 0x4cc, 0xfff, 0xfff, 
+	0x0f6, 0x3d5, 0xfff, 0xfff, 0xfff, 0x54f, 0xfff, 0xfff, 
+	0xfff, 0x172, 0x1e4, 0x07c, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x53c, 0x1ad, 0x535, 
+	0x19b, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0x092, 0xfff, 0x2be, 0xfff, 0xfff, 0x482, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x0e6, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x476, 0xfff, 0x51d, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0x342, 0x2b5, 0x22e, 0x09a, 0xfff, 0x08d, 
+	0x44f, 0x3ed, 0xfff, 0xfff, 0xfff, 0xfff, 0x3d1, 0xfff, 
+	0xfff, 0x543, 0xfff, 0x48f, 0xfff, 0x3d2, 0xfff, 0x0d5, 
+	0x113, 0x0ec, 0x427, 0xfff, 0xfff, 0xfff, 0x4c4, 0xfff, 
+	0xfff, 0x50a, 0xfff, 0x144, 0xfff, 0x105, 0x39f, 0x294, 
+	0x164, 0xfff, 0x31a, 0xfff, 0xfff, 0x49a, 0xfff, 0x130, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x1be, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0x49e, 0x371, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x0e8, 0x49c, 0x0f4, 0xfff, 
+	0x338, 0x1a7, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x36c, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x1ae, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x31b, 0xfff, 0xfff, 0x2dd, 0x522, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x2f4, 
+	0x3c6, 0x30d, 0xfff, 0xfff, 0xfff, 0xfff, 0x34c, 0x18f, 
+	0x30a, 0xfff, 0x01f, 0x079, 0xfff, 0xfff, 0x54d, 0x46b, 
+	0x28c, 0x37f, 0xfff, 0xfff, 0xfff, 0xfff, 0x355, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x14f, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x359, 0x3fe, 0x3c5, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0x423, 0xfff, 0xfff, 0x34a, 0x22c, 0xfff, 
+	0x25a, 0xfff, 0xfff, 0x4ad, 0xfff, 0x28d, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x547, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x2e2, 0xfff, 0xfff, 0x1d5, 0xfff, 0x2a8, 0xfff, 0xfff, 
+	0x03f, 0xfff, 0xfff, 0xfff, 0xfff, 0x3eb, 0x0fa, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x55b, 0xfff, 
+	0x08e, 0xfff, 0x3ae, 0xfff, 0x3a4, 0xfff, 0x282, 0x158, 
+	0xfff, 0x382, 0xfff, 0xfff, 0x499, 0xfff, 0xfff, 0x08a, 
+	0xfff, 0xfff, 0xfff, 0x456, 0x3be, 0xfff, 0x1e2, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x559, 0xfff, 0x1a0, 0xfff, 
+	0xfff, 0x0b4, 0xfff, 0xfff, 0xfff, 0x2df, 0xfff, 0xfff, 
+	0xfff, 0x07f, 0x4f5, 0xfff, 0xfff, 0x27c, 0x133, 0x017, 
+	0xfff, 0x3fd, 0xfff, 0xfff, 0xfff, 0x44d, 0x4cd, 0x17a, 
+	0x0d7, 0x537, 0xfff, 0xfff, 0x353, 0xfff, 0xfff, 0x351, 
+	0x366, 0xfff, 0x44a, 0xfff, 0x1a6, 0xfff, 0xfff, 0xfff, 
+	0x291, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x1e3, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x389, 0xfff, 0x07a, 0xfff, 
+	0x1b6, 0x2ed, 0xfff, 0xfff, 0xfff, 0xfff, 0x24e, 0x074, 
+	0xfff, 0xfff, 0x3dc, 0xfff, 0x4e3, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x4eb, 0xfff, 0xfff, 0x3b8, 0x4de, 0xfff, 0x19c, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x262, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x076, 0x4e8, 0x3da, 
+	0xfff, 0x531, 0xfff, 0xfff, 0x14a, 0xfff, 0x0a2, 0x433, 
+	0x3df, 0x1e9, 0xfff, 0xfff, 0xfff, 0xfff, 0x3e7, 0x285, 
+	0x2d8, 0xfff, 0xfff, 0xfff, 0x349, 0x18d, 0x098, 0xfff, 
+	0x0df, 0x4bf, 0xfff, 0xfff, 0x0b2, 0xfff, 0x346, 0x24d, 
+	0xfff, 0xfff, 0xfff, 0x24f, 0x4fa, 0x2f9, 0xfff, 0xfff, 
+	0x3c9, 0xfff, 0x2b4, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x056, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x179, 0xfff, 0x0e9, 0x3f0, 0x33d, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x1fd, 0xfff, 0xfff, 0x526, 0xfff, 
+	0xfff, 0xfff, 0x53d, 0xfff, 0xfff, 0xfff, 0x170, 0x331, 
+	0xfff, 0x068, 0xfff, 0xfff, 0xfff, 0x3f7, 0xfff, 0x3d8, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x09f, 0x556, 0xfff, 0xfff, 0x02d, 0xfff, 0xfff, 
+	0x553, 0xfff, 0xfff, 0xfff, 0x1f0, 0xfff, 0xfff, 0x4d6, 
+	0x41e, 0xfff, 0xfff, 0xfff, 0xfff, 0x4d5, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x248, 0xfff, 0xfff, 0xfff, 0x0a3, 
+	0xfff, 0x217, 0xfff, 0xfff, 0xfff, 0x4f1, 0x209, 0xfff, 
+	0xfff, 0x475, 0x234, 0x52b, 0x398, 0xfff, 0x08b, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x2c2, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0x268, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x4a3, 0xfff, 0x0aa, 0xfff, 0x1d9, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0x155, 0xfff, 0xfff, 0xfff, 0xfff, 0x0bf, 
+	0x539, 0xfff, 0xfff, 0x2f1, 0x545, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x2a7, 0x06f, 0xfff, 0x378, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x25e, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x15d, 0x02a, 0xfff, 0xfff, 0x0bc, 
+	0x235, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x150, 0xfff, 0x1a9, 0xfff, 0xfff, 0xfff, 0xfff, 0x381, 
+	0xfff, 0x04e, 0x270, 0x13f, 0xfff, 0xfff, 0x405, 0xfff, 
+	0x3cd, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x2ef, 0xfff, 0x06a, 0xfff, 0xfff, 0xfff, 0x34f, 
+	0x212, 0xfff, 0xfff, 0x0e2, 0xfff, 0x083, 0x298, 0xfff, 
+	0xfff, 0xfff, 0x0c2, 0xfff, 0xfff, 0x52e, 0xfff, 0x488, 
+	0xfff, 0xfff, 0xfff, 0x36b, 0xfff, 0xfff, 0xfff, 0x442, 
+	0x091, 0xfff, 0x41c, 0xfff, 0xfff, 0x3a5, 0xfff, 0x4e6, 
+	0xfff, 0xfff, 0x40d, 0x31d, 0xfff, 0xfff, 0xfff, 0x4c1, 
+	0x053, 0xfff, 0x418, 0x13c, 0xfff, 0x350, 0xfff, 0x0ae, 
+	0xfff, 0xfff, 0x41f, 0xfff, 0x470, 0xfff, 0x4ca, 0xfff, 
+	0xfff, 0xfff, 0x02b, 0x450, 0xfff, 0x1f8, 0xfff, 0xfff, 
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+	0xfff, 0x08f, 0xfff, 0xfff, 0x19e, 0x019, 0xfff, 0x0b0, 
+	0x0fd, 0x332, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x06b, 0x2e8, 0xfff, 0x446, 0xfff, 0xfff, 0x004, 
+	0x247, 0x197, 0xfff, 0x112, 0x169, 0x292, 0xfff, 0x302, 
+	0xfff, 0xfff, 0x33b, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x287, 0x21f, 0xfff, 0x3ea, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x4e7, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x3a8, 0xfff, 0xfff, 0x2bc, 0xfff, 
+	0x484, 0x296, 0xfff, 0x1c9, 0x08c, 0x1e5, 0x48a, 0xfff, 
+	0x360, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x1ca, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x10d, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0x066, 0x2ea, 0x28b, 0x25b, 0xfff, 0x072, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x2b6, 0xfff, 0xfff, 0x272, 
+	0xfff, 0xfff, 0x525, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x2ca, 0xfff, 0xfff, 0xfff, 0x299, 0xfff, 0xfff, 0xfff, 
+	0x558, 0x41a, 0xfff, 0x4f7, 0x557, 0xfff, 0x4a0, 0x344, 
+	0x12c, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x125, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x40e, 0xfff, 0xfff, 0x502, 0xfff, 0x103, 0x3e6, 0xfff, 
+	0x527, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x45d, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x44e, 0xfff, 0xfff, 0xfff, 0xfff, 0x0d2, 0x4c9, 0x35e, 
+	0x459, 0x2d9, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x17d, 
+	0x0c4, 0xfff, 0xfff, 0xfff, 0x3ac, 0x390, 0x094, 0xfff, 
+	0x483, 0x0ab, 0xfff, 0x253, 0xfff, 0x391, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0x123, 0x0ef, 0xfff, 0xfff, 0xfff, 0x330, 
+	0x38c, 0xfff, 0xfff, 0x2ae, 0xfff, 0xfff, 0xfff, 0x042, 
+	0x012, 0x06d, 0xfff, 0xfff, 0xfff, 0x32a, 0x3db, 0x364, 
+	0x2dc, 0xfff, 0x30f, 0x3d7, 0x4a5, 0x050, 0xfff, 0xfff, 
+	0x029, 0xfff, 0xfff, 0xfff, 0xfff, 0x1d1, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x480, 0xfff, 
+	0x4ed, 0x081, 0x0a1, 0xfff, 0xfff, 0xfff, 0x30e, 0x52f, 
+	0x257, 0xfff, 0xfff, 0x447, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x401, 0x3cc, 0xfff, 0xfff, 0x0fb, 
+	0x2c9, 0x42a, 0x314, 0x33e, 0x3bd, 0x318, 0xfff, 0x10e, 
+	0x2a1, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x24c, 
+	0x506, 0xfff, 0x267, 0xfff, 0xfff, 0x219, 0xfff, 0x1eb, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x309, 0x3e2, 0x46c, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x384, 0xfff, 0xfff, 0xfff, 0xfff, 0x50c, 0xfff, 0x24b, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x038, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x194, 
+	0x143, 0x3e3, 0xfff, 0xfff, 0xfff, 0x4c2, 0xfff, 0xfff, 
+	0x0e1, 0x25c, 0xfff, 0x237, 0xfff, 0x1fe, 0xfff, 0xfff, 
+	0xfff, 0x065, 0x2a4, 0xfff, 0x386, 0x55a, 0x11b, 0xfff, 
+	0xfff, 0x192, 0xfff, 0x183, 0x00e, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x4b2, 0x18e, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x486, 0x4ef, 0x0c6, 0x380, 0xfff, 0x4a8, 0xfff, 
+	0x0c5, 0xfff, 0xfff, 0xfff, 0xfff, 0x093, 0x1b8, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x2e6, 
+	0xfff, 0x0f3, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x28e, 0xfff, 0x53b, 0x420, 0x22a, 0x33a, 0xfff, 0x387, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x2a3, 0xfff, 0xfff, 
+	0xfff, 0x428, 0x500, 0xfff, 0xfff, 0x120, 0x2c6, 0x290, 
+	0x2f5, 0x0e3, 0xfff, 0x0b7, 0xfff, 0x319, 0x474, 0xfff, 
+	0xfff, 0xfff, 0x529, 0x014, 0xfff, 0x41b, 0x40a, 0x18b, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x0d9, 
+	0xfff, 0x38a, 0xfff, 0xfff, 0xfff, 0xfff, 0x1ce, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x3b1, 0xfff, 0xfff, 0x05d, 
+	0x2c4, 0xfff, 0xfff, 0x4af, 0xfff, 0x030, 0xfff, 0xfff, 
+	0x203, 0xfff, 0x277, 0x256, 0xfff, 0xfff, 0xfff, 0x4f9, 
+	0xfff, 0x2c7, 0xfff, 0x466, 0x016, 0x1cd, 0xfff, 0x167, 
+	0xfff, 0xfff, 0x0c8, 0xfff, 0x43d, 0xfff, 0xfff, 0x020, 
+	0xfff, 0xfff, 0x232, 0x1cb, 0x1e0, 0xfff, 0xfff, 0x347, 
+	0xfff, 0x478, 0xfff, 0x365, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x358, 0xfff, 0x10b, 0xfff, 0x35d, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0x452, 0x22d, 0xfff, 0xfff, 0x47d, 0xfff, 
+	0x2f3, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x460, 0xfff, 
+	0xfff, 0xfff, 0x50b, 0xfff, 0xfff, 0xfff, 0x2ec, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x4b1, 0x422, 0xfff, 0xfff, 
+	0xfff, 0x2d4, 0xfff, 0x239, 0xfff, 0xfff, 0xfff, 0x439, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x491, 0x075, 0xfff, 0xfff, 0xfff, 0x06c, 0xfff, 
+	0xfff, 0x0f9, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x139, 0xfff, 0x4f6, 0xfff, 0xfff, 0x409, 0xfff, 
+	0xfff, 0x15b, 0xfff, 0xfff, 0x348, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x4a2, 0x49d, 0xfff, 0x033, 0x175, 0xfff, 0x039, 
+	0xfff, 0x312, 0x40c, 0xfff, 0xfff, 0x325, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x4aa, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0x165, 0x3bc, 0x48c, 0x310, 0x096, 
+	0xfff, 0xfff, 0x250, 0x1a2, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x20d, 0x2ac, 0xfff, 0xfff, 0x39b, 0xfff, 0x377, 0xfff, 
+	0x512, 0x495, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x357, 0x4ea, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0x198, 0xfff, 0xfff, 0xfff, 0x434, 0x04a, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x062, 0xfff, 0x1d6, 0x1c8, 
+	0xfff, 0x1f3, 0x281, 0xfff, 0x462, 0xfff, 0xfff, 0xfff, 
+	0x4b0, 0xfff, 0x207, 0xfff, 0xfff, 0xfff, 0xfff, 0x3dd, 
+	0xfff, 0xfff, 0x55d, 0xfff, 0x552, 0x494, 0x1af, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x227, 0xfff, 0xfff, 0x069, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x43e, 
+	0x0b5, 0xfff, 0x524, 0x2d2, 0xfff, 0xfff, 0xfff, 0x28f, 
+	0xfff, 0x01b, 0x50e, 0xfff, 0xfff, 0x1bb, 0xfff, 0xfff, 
+	0x41d, 0xfff, 0x32e, 0x48e, 0xfff, 0x1f7, 0x224, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x394, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x52c, 0xfff, 0xfff, 0xfff, 0x392, 0xfff, 0x1e7, 
+	0xfff, 0xfff, 0x3f9, 0x3a7, 0xfff, 0x51f, 0xfff, 0x0bb, 
+	0x118, 0x3ca, 0xfff, 0x1dd, 0xfff, 0x48b, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0x50f, 0xfff, 0x0d6, 0xfff, 0x1fa, 0xfff, 
+	0x11e, 0xfff, 0xfff, 0xfff, 0xfff, 0x4d7, 0xfff, 0x078, 
+	0x008, 0xfff, 0x25d, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x032, 0x33c, 0xfff, 0x4d9, 0x160, 0xfff, 0xfff, 0x300, 
+	0x0b1, 0xfff, 0x322, 0xfff, 0x4ec, 0xfff, 0xfff, 0x200, 
+	0x00c, 0x369, 0x473, 0xfff, 0xfff, 0x32c, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x53e, 0x3d4, 0x417, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x34b, 0x001, 0x39a, 0x02c, 0xfff, 0xfff, 0x2ce, 0x00f, 
+	0xfff, 0x0ba, 0xfff, 0xfff, 0xfff, 0xfff, 0x060, 0xfff, 
+	0x406, 0xfff, 0xfff, 0xfff, 0x4ee, 0x4ac, 0xfff, 0x43f, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x29b, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x216, 
+	0x190, 0xfff, 0x396, 0x464, 0xfff, 0xfff, 0x323, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x2e9, 0xfff, 0x26d, 
+	0x2cd, 0x040, 0xfff, 0xfff, 0xfff, 0xfff, 0x38b, 0x3c0, 
+	0xfff, 0xfff, 0xfff, 0x1f2, 0xfff, 0x0ea, 0xfff, 0xfff, 
+	0x472, 0xfff, 0x1fb, 0xfff, 0xfff, 0x0af, 0x27f, 0xfff, 
+	0xfff, 0xfff, 0x479, 0x023, 0xfff, 0x0d8, 0x3b3, 0xfff, 
+	0xfff, 0xfff, 0x121, 0xfff, 0xfff, 0x3bf, 0xfff, 0xfff, 
+	0x16b, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x45a, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x0be, 0xfff, 0xfff, 0xfff, 0x111, 0xfff, 0x220, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0x09b, 0x218, 0xfff, 0x022, 0x202, 0xfff, 
+	0x4c8, 0xfff, 0x0ed, 0xfff, 0xfff, 0x182, 0xfff, 0xfff, 
+	0xfff, 0x17f, 0x213, 0xfff, 0x321, 0x36a, 0xfff, 0x086, 
+	0xfff, 0xfff, 0xfff, 0x43b, 0x088, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x26c, 0xfff, 0x2f8, 0x3b4, 0xfff, 0xfff, 0xfff, 
+	0x132, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x333, 0x444, 
+	0x0c1, 0x4d8, 0x46d, 0x264, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x426, 0xfff, 0xfff, 0xfff, 0xfff, 0x2fe, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0x011, 0xfff, 0x05f, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0x10c, 0x101, 0xfff, 0xfff, 0xfff, 0xfff, 0x110, 
+	0xfff, 0x044, 0x304, 0x361, 0x404, 0xfff, 0x51b, 0x099, 
+	0xfff, 0x440, 0xfff, 0xfff, 0xfff, 0x222, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0x1b5, 0xfff, 0x136, 0x430, 0xfff, 0x1da, 
+	0xfff, 0xfff, 0xfff, 0x043, 0xfff, 0x17c, 0xfff, 0xfff, 
+	0xfff, 0x01c, 0xfff, 0xfff, 0xfff, 0x425, 0x236, 0xfff, 
+	0x317, 0xfff, 0xfff, 0x437, 0x3fc, 0xfff, 0x1f1, 0xfff, 
+	0x324, 0xfff, 0xfff, 0x0ca, 0x306, 0xfff, 0x548, 0xfff, 
+	0x46e, 0xfff, 0xfff, 0xfff, 0x4b8, 0x1c2, 0x286, 0xfff, 
+	0xfff, 0x087, 0x18a, 0x19f, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x18c, 0xfff, 0x215, 0xfff, 0xfff, 0xfff, 0xfff, 0x283, 
+	0xfff, 0xfff, 0xfff, 0x126, 0xfff, 0xfff, 0x370, 0xfff, 
+	0x53f, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x31c, 0xfff, 
+	0x4d1, 0xfff, 0xfff, 0xfff, 0x021, 0xfff, 0x157, 0xfff, 
+	0xfff, 0x028, 0x16e, 0xfff, 0x421, 0xfff, 0x1c6, 0xfff, 
+	0xfff, 0x511, 0xfff, 0xfff, 0x39c, 0x46f, 0x1b2, 0xfff, 
+	0xfff, 0x316, 0xfff, 0xfff, 0x009, 0xfff, 0xfff, 0x195, 
+	0xfff, 0x240, 0x546, 0xfff, 0xfff, 0x520, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x454, 0xfff, 0xfff, 0xfff, 
+	0x3f3, 0xfff, 0xfff, 0x187, 0xfff, 0x4a9, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x51c, 0x453, 0x1e6, 0xfff, 
+	0xfff, 0xfff, 0x1b0, 0xfff, 0x477, 0xfff, 0xfff, 0xfff, 
+	0x4fe, 0xfff, 0x32f, 0xfff, 0xfff, 0x15e, 0x1d4, 0xfff, 
+	0x0e5, 0xfff, 0xfff, 0xfff, 0x242, 0x14b, 0x046, 0xfff, 
+	0x3f6, 0x3bb, 0x3e4, 0xfff, 0xfff, 0x2e3, 0xfff, 0x245, 
+	0xfff, 0x149, 0xfff, 0xfff, 0xfff, 0x2db, 0xfff, 0xfff, 
+	0x181, 0xfff, 0x089, 0x2c5, 0xfff, 0x1f5, 0xfff, 0x2d6, 
+	0x507, 0xfff, 0x42d, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0x080, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 
+	0xfff, 0xfff, 0xfff, 0xfff, 0x3c3, 0x320, 0xfff, 0x1e1, 
+	0xfff, 0x0f5, 0x13b, 0xfff, 0xfff, 0xfff, 0x003, 0x4da, 
+	0xfff, 0xfff, 0xfff, 0x42c, 0xfff, 0xfff, 0x0cb, 0xfff, 
+	0x536, 0x2c3, 0xfff, 0xfff, 0xfff, 0xfff, 0x199, 0xfff, 
+	0xfff, 0x0c0, 0xfff, 0x01e, 0x497, 0xfff, 0xfff, 0x3e5, 
+	0xfff, 0xfff, 0xfff, 0x0cf, 0xfff, 0x2bd, 0xfff, 0x223, 
+	0xfff, 0x3ff, 0xfff, 0x058, 0x174, 0x3ef, 0xfff, 0x002
+};
+
+static unsigned short err_pos(unsigned short din)
+{
+	BUG_ON(din > 4096);
+	BUG_ON(err_pos_lut[din] == 0xfff);
+	return err_pos_lut[din];
+}
+static int chk_no_err_only(unsigned short *chk_syndrome_list, unsigned short *err_info)
+{
+	if ((chk_syndrome_list[0] | chk_syndrome_list[1] |
+	     chk_syndrome_list[2] | chk_syndrome_list[3] |
+	     chk_syndrome_list[4] | chk_syndrome_list[5] |
+	     chk_syndrome_list[6] | chk_syndrome_list[7]) != 0x0) {
+		return -EINVAL;
+	} else {
+		err_info[0] = 0x0;
+		return 0;
+	}
+}
+static int chk_1_err_only(unsigned short *chk_syndrome_list, unsigned short *err_info)
+{
+	unsigned short tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6;
+	tmp0 = gf4096_mul(chk_syndrome_list[1], gf4096_inv(chk_syndrome_list[0]));
+	tmp1 = gf4096_mul(chk_syndrome_list[2], gf4096_inv(chk_syndrome_list[1]));
+	tmp2 = gf4096_mul(chk_syndrome_list[3], gf4096_inv(chk_syndrome_list[2]));
+	tmp3 = gf4096_mul(chk_syndrome_list[4], gf4096_inv(chk_syndrome_list[3]));
+	tmp4 = gf4096_mul(chk_syndrome_list[5], gf4096_inv(chk_syndrome_list[4]));
+	tmp5 = gf4096_mul(chk_syndrome_list[6], gf4096_inv(chk_syndrome_list[5]));
+	tmp6 = gf4096_mul(chk_syndrome_list[7], gf4096_inv(chk_syndrome_list[6]));
+	if ((tmp0 == tmp1) & (tmp1 == tmp2) & (tmp2 == tmp3) & (tmp3 == tmp4) & (tmp4 == tmp5) & (tmp5 == tmp6)) {
+		err_info[0] = 0x1;	// encode 1-symbol error as 0x1
+		err_info[1] = err_pos(tmp0);
+		err_info[1] = (unsigned short)(0x55e - err_info[1]);
+		err_info[5] = chk_syndrome_list[0];
+		return 0;
+	} else
+		return -EINVAL;
+}
+static int chk_2_err_only(unsigned short *chk_syndrome_list, unsigned short *err_info)
+{
+	unsigned short tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
+	unsigned short coefs[4];
+	unsigned short err_pats[4];
+	int found_num_root = 0;
+	unsigned short bit2_root0, bit2_root1;
+	unsigned short bit2_root0_inv, bit2_root1_inv;
+	unsigned short err_loc_eqn, test_root;
+	unsigned short bit2_loc0, bit2_loc1;
+	unsigned short bit2_pat0, bit2_pat1;
+
+	find_2x2_soln(chk_syndrome_list[1],
+		      chk_syndrome_list[0],
+		      chk_syndrome_list[2], chk_syndrome_list[1], chk_syndrome_list[2], chk_syndrome_list[3], coefs);
+	for (test_root = 0x1; test_root < 0xfff; test_root++) {
+		err_loc_eqn =
+		    gf4096_mul(coefs[1], gf4096_mul(test_root, test_root)) ^ gf4096_mul(coefs[0], test_root) ^ 0x1;
+		if (err_loc_eqn == 0x0) {
+			if (found_num_root == 0) {
+				bit2_root0 = test_root;
+				found_num_root = 1;
+			} else if (found_num_root == 1) {
+				bit2_root1 = test_root;
+				found_num_root = 2;
+				break;
+			}
+		}
+	}
+	if (found_num_root != 2)
+		return -EINVAL;
+	else {
+		bit2_root0_inv = gf4096_inv(bit2_root0);
+		bit2_root1_inv = gf4096_inv(bit2_root1);
+		find_2bit_err_pats(chk_syndrome_list[0],
+				   chk_syndrome_list[1], bit2_root0_inv, bit2_root1_inv, err_pats);
+		bit2_pat0 = err_pats[0];
+		bit2_pat1 = err_pats[1];
+		//for(x+1)
+		tmp0 = gf4096_mul(gf4096_mul(bit2_root0_inv, bit2_root0_inv), gf4096_mul(bit2_root0_inv, bit2_root0_inv));	//rinv0^4
+		tmp1 = gf4096_mul(bit2_root0_inv, tmp0);	//rinv0^5
+		tmp2 = gf4096_mul(bit2_root0_inv, tmp1);	//rinv0^6
+		tmp3 = gf4096_mul(bit2_root0_inv, tmp2);	//rinv0^7
+		tmp4 = gf4096_mul(gf4096_mul(bit2_root1_inv, bit2_root1_inv), gf4096_mul(bit2_root1_inv, bit2_root1_inv));	//rinv1^4
+		tmp5 = gf4096_mul(bit2_root1_inv, tmp4);	//rinv1^5
+		tmp6 = gf4096_mul(bit2_root1_inv, tmp5);	//rinv1^6
+		tmp7 = gf4096_mul(bit2_root1_inv, tmp6);	//rinv1^7
+		//check if only 2-bit error
+		if ((chk_syndrome_list[4] ==
+		     (gf4096_mul(bit2_pat0, tmp0) ^
+		      gf4096_mul(bit2_pat1,
+				 tmp4))) & (chk_syndrome_list[5] ==
+					    (gf4096_mul(bit2_pat0, tmp1) ^
+					     gf4096_mul(bit2_pat1,
+							tmp5))) &
+		    (chk_syndrome_list[6] ==
+		     (gf4096_mul(bit2_pat0, tmp2) ^
+		      gf4096_mul(bit2_pat1,
+				 tmp6))) & (chk_syndrome_list[7] ==
+					    (gf4096_mul(bit2_pat0, tmp3) ^ gf4096_mul(bit2_pat1, tmp7)))) {
+			if ((err_pos(bit2_root0_inv) == 0xfff) | (err_pos(bit2_root1_inv) == 0xfff)) {
+				return -EINVAL;
+			} else {
+				bit2_loc0 = 0x55e - err_pos(bit2_root0_inv);
+				bit2_loc1 = 0x55e - err_pos(bit2_root1_inv);
+				err_info[0] = 0x2;	// encode 2-symbol error as 0x2
+				err_info[1] = bit2_loc0;
+				err_info[2] = bit2_loc1;
+				err_info[5] = bit2_pat0;
+				err_info[6] = bit2_pat1;
+				return 0;
+			}
+		} else
+			return -EINVAL;
+	}
+}
+static int chk_3_err_only(unsigned short *chk_syndrome_list, unsigned short *err_info)
+{
+	unsigned short tmp0, tmp1, tmp2, tmp3, tmp4, tmp5;
+	unsigned short coefs[4];
+	unsigned short err_pats[4];
+	int found_num_root = 0;
+	unsigned short bit3_root0, bit3_root1, bit3_root2;
+	unsigned short bit3_root0_inv, bit3_root1_inv, bit3_root2_inv;
+	unsigned short err_loc_eqn, test_root;
+
+	find_3bit_err_coefs(chk_syndrome_list[0], chk_syndrome_list[1],
+			    chk_syndrome_list[2], chk_syndrome_list[3],
+			    chk_syndrome_list[4], chk_syndrome_list[5], coefs);
+
+	for (test_root = 0x1; test_root < 0xfff; test_root++) {
+		err_loc_eqn = gf4096_mul(coefs[2],
+					 gf4096_mul(gf4096_mul(test_root, test_root),
+						    test_root)) ^ gf4096_mul(coefs[1], gf4096_mul(test_root, test_root))
+			^ gf4096_mul(coefs[0], test_root) ^ 0x1;
+
+		if (err_loc_eqn == 0x0) {
+			if (found_num_root == 0) {
+				bit3_root0 = test_root;
+				found_num_root = 1;
+			} else if (found_num_root == 1) {
+				bit3_root1 = test_root;
+				found_num_root = 2;
+			} else if (found_num_root == 2) {
+				bit3_root2 = test_root;
+				found_num_root = 3;
+				break;
+			}
+		}
+	}
+	if (found_num_root != 3)
+		return -EINVAL;
+	else {
+		bit3_root0_inv = gf4096_inv(bit3_root0);
+		bit3_root1_inv = gf4096_inv(bit3_root1);
+		bit3_root2_inv = gf4096_inv(bit3_root2);
+
+		find_3bit_err_pats(chk_syndrome_list[0], chk_syndrome_list[1],
+				   chk_syndrome_list[2], bit3_root0_inv,
+				   bit3_root1_inv, bit3_root2_inv, err_pats);
+
+		//check if only 3-bit error
+		tmp0 = gf4096_mul(bit3_root0_inv, bit3_root0_inv);
+		tmp0 = gf4096_mul(tmp0, tmp0);
+		tmp0 = gf4096_mul(tmp0, bit3_root0_inv);
+		tmp0 = gf4096_mul(tmp0, bit3_root0_inv);	//rinv0^6
+		tmp1 = gf4096_mul(tmp0, bit3_root0_inv);	//rinv0^7
+		tmp2 = gf4096_mul(bit3_root1_inv, bit3_root1_inv);
+		tmp2 = gf4096_mul(tmp2, tmp2);
+		tmp2 = gf4096_mul(tmp2, bit3_root1_inv);
+		tmp2 = gf4096_mul(tmp2, bit3_root1_inv);	//rinv1^6
+		tmp3 = gf4096_mul(tmp2, bit3_root1_inv);	//rinv1^7
+		tmp4 = gf4096_mul(bit3_root2_inv, bit3_root2_inv);
+		tmp4 = gf4096_mul(tmp4, tmp4);
+		tmp4 = gf4096_mul(tmp4, bit3_root2_inv);
+		tmp4 = gf4096_mul(tmp4, bit3_root2_inv);	//rinv2^6
+		tmp5 = gf4096_mul(tmp4, bit3_root2_inv);	//rinv2^7
+
+		//check if only 3 errors
+		if ((chk_syndrome_list[6] == (gf4096_mul(err_pats[0], tmp0) ^
+					      gf4096_mul(err_pats[1], tmp2) ^
+					      gf4096_mul(err_pats[2], tmp4))) &
+		    (chk_syndrome_list[7] == (gf4096_mul(err_pats[0], tmp1) ^
+					      gf4096_mul(err_pats[1], tmp3) ^ gf4096_mul(err_pats[2], tmp5)))) {
+			if ((err_pos(bit3_root0_inv) == 0xfff) |
+			    (err_pos(bit3_root1_inv) == 0xfff) | (err_pos(bit3_root2_inv) == 0xfff)) {
+				return -EINVAL;
+			} else {
+				err_info[0] = 0x3;
+				err_info[1] = (0x55e - err_pos(bit3_root0_inv));
+				err_info[2] = (0x55e - err_pos(bit3_root1_inv));
+				err_info[3] = (0x55e - err_pos(bit3_root2_inv));
+				err_info[5] = err_pats[0];
+				err_info[6] = err_pats[1];
+				err_info[7] = err_pats[2];
+				return 0;
+			}
+		} else
+			return -EINVAL;
+	}
+}
+static int chk_4_err_only(unsigned short *chk_syndrome_list, unsigned short *err_info)
+{
+	unsigned short coefs[4];
+	unsigned short err_pats[4];
+	int found_num_root = 0;
+	unsigned short bit4_root0, bit4_root1, bit4_root2, bit4_root3;
+	unsigned short bit4_root0_inv, bit4_root1_inv, bit4_root2_inv, bit4_root3_inv;
+	unsigned short err_loc_eqn, test_root;
+
+	find_4bit_err_coefs(chk_syndrome_list[0],
+			    chk_syndrome_list[1],
+			    chk_syndrome_list[2],
+			    chk_syndrome_list[3],
+			    chk_syndrome_list[4],
+			    chk_syndrome_list[5], chk_syndrome_list[6], chk_syndrome_list[7], coefs);
+
+	for (test_root = 0x1; test_root < 0xfff; test_root++) {
+		err_loc_eqn =
+		    gf4096_mul(coefs[3],
+			       gf4096_mul(gf4096_mul
+					  (gf4096_mul(test_root, test_root),
+					   test_root),
+					  test_root)) ^ gf4096_mul(coefs[2],
+								   gf4096_mul
+								   (gf4096_mul(test_root, test_root), test_root))
+		    ^ gf4096_mul(coefs[1], gf4096_mul(test_root, test_root)) ^ gf4096_mul(coefs[0], test_root)
+		    ^ 0x1;
+		if (err_loc_eqn == 0x0) {
+			if (found_num_root == 0) {
+				bit4_root0 = test_root;
+				found_num_root = 1;
+			} else if (found_num_root == 1) {
+				bit4_root1 = test_root;
+				found_num_root = 2;
+			} else if (found_num_root == 2) {
+				bit4_root2 = test_root;
+				found_num_root = 3;
+			} else {
+				found_num_root = 4;
+				bit4_root3 = test_root;
+				break;
+			}
+		}
+	}
+	if (found_num_root != 4) {
+		return -EINVAL;
+	} else {
+		bit4_root0_inv = gf4096_inv(bit4_root0);
+		bit4_root1_inv = gf4096_inv(bit4_root1);
+		bit4_root2_inv = gf4096_inv(bit4_root2);
+		bit4_root3_inv = gf4096_inv(bit4_root3);
+		find_4bit_err_pats(chk_syndrome_list[0],
+				   chk_syndrome_list[1],
+				   chk_syndrome_list[2],
+				   chk_syndrome_list[3],
+				   bit4_root0_inv, bit4_root1_inv, bit4_root2_inv, bit4_root3_inv, err_pats);
+		err_info[0] = 0x4;
+		err_info[1] = (0x55e - err_pos(bit4_root0_inv));
+		err_info[2] = (0x55e - err_pos(bit4_root1_inv));
+		err_info[3] = (0x55e - err_pos(bit4_root2_inv));
+		err_info[4] = (0x55e - err_pos(bit4_root3_inv));
+		err_info[5] = err_pats[0];
+		err_info[6] = err_pats[1];
+		err_info[7] = err_pats[2];
+		err_info[8] = err_pats[3];
+		return 0;
+	}
+}
+
+void correct_12bit_symbol(unsigned char *buf, unsigned short sym,
+			  unsigned short val)
+{
+	if (unlikely(sym > 1366)) {
+		printk(KERN_ERR "Error: symbol %d out of range; cannot correct\n", sym);
+	} else if (sym == 0) {
+		buf[0] ^= val;
+	} else if (sym & 1) {
+		buf[1+(3*(sym-1))/2] ^= (val >> 4);
+		buf[2+(3*(sym-1))/2] ^= ((val & 0xf) << 4);
+	} else {
+		buf[2+(3*(sym-2))/2] ^= (val >> 8);
+		buf[3+(3*(sym-2))/2] ^= (val & 0xff);
+	}
+
+		
+}
+
+int cafe_correct_ecc(unsigned char *buf,
+		     unsigned short *chk_syndrome_list)
+{
+	unsigned short err_info[9];
+	int i;
+
+	if (chk_no_err_only(chk_syndrome_list, err_info) &&
+	    chk_1_err_only(chk_syndrome_list, err_info) &&
+	    chk_2_err_only(chk_syndrome_list, err_info) &&
+	    chk_3_err_only(chk_syndrome_list, err_info) &&
+	    chk_4_err_only(chk_syndrome_list, err_info)) {
+		return -EIO;
+	}
+
+	for (i=0; i < err_info[0]; i++)
+		correct_12bit_symbol(buf, err_info[1+i], err_info[5+i]);
+
+	return err_info[0];
+}
+