CRC Polynomial Zoo

Philip Koopman, Carnegie Mellon University

Best CRCs | CRC Selection | CRC Zoo | Checksum and CRC Blog

Select # Bits in CRC below (see also NOTES PAGE):
3,  4,  5,  6,  7,  8,  9,  10,  11,  12,  13,  14,  15,
16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  31,
32,  33-36,  37-40,  41-44,  45-48,  49-52,  53-56,  57-60,  61-63,  64

14 Bit CRCs:

• (0x27cf; 0x4f9f) <=> (0x3e7c; 0x7cf9) {16369,459,17,5,1,1,1,1,1} | gold | (*p)CRC-14F/3 ("47637p")
• (0x28a9; 0x5153) <=> (0x32a2; 0x6545) {16369,317,46,14,13} | gold | (*p) CRC-14F/7 ("50523p")
• (0x37ef; 0x6fdf) <=> (0x3efd; 0x7dfb) {16369,260,69,19,1,1,1,1,1,1,1} | gold | (*p) CRC-14F/11 ("67737p")
• (0x2015; 0x402b) <=> (0x3500; 0x6a01) {16369,210,33} | gold | (*p) FP-14
• (0x3abb; 0x7577) <=> (0x3bab; 0x7757) {16369,204,18,18,8,2,2,2,1} | gold | (*p) CRC-14F/10.1 ("72567p")
• (0x3497; 0x692f) <=> (0x3d25; 0x7a4b) {16369,197,49,18,8,4,3} | gold | (*p) CRC-14F/9 ("64457p")
• (0x2769; 0x4ed3) <=> (0x32dc; 0x65b9) {16369,134,32,26,4,3,3} | gold | (*p) CRC-14K/3
• (0x2a4f; 0x549f) <=> (0x3e4a; 0x7c95) {16369,24,24,8,7,6,2} | gold | (*p) CRC-14K/8

• (0x2322; 0x4645) <=> (0x2898; 0x5131) {8177,8177,57,57} | gold | (*op) CRC-14K/4.2
• (0x231e; 0x463d) <=> (0x2f18; 0x5e31) {8177,8177,27,27,4,4} | gold | (*op) CRC-14F/4.2 ("43075")
• (0x3016; 0x602d) <=> (0x2d01; 0x5a03) {8177,8177,25,25} | gold | (*op) CRC-14-GSM
• (0x33ab; 0x6757) <=> (0x3ab9; 0x7573) {8177,8177,9,9,7,7,2,2} | gold | (*op)CRC-14F/10.2 ("63527")
• (0x2003; 0x4007) <=> (0x3800; 0x7001) {8177,8177} | gold | (*op) FOP-14
• (0x37ff; 0x6fff) <=> (0x3ffd; 0x7ffb) {8177,8177,1,1,1,1,1,1,1,1,1,1} | gold | (*op) CRC-14F/14 ("67777")
• (0x2402; 0x4805) <=> (0x2804; 0x5009) {8177,8177} | gold | (*op) DARC-14 (*op)

• (0x372b; 0x6e57) <=> (0x3a9d; 0x753b) {8176,8176,57,57,3,3,2,2} | gold | (*o) CRC-14K/6
• (0x2ffb; 0x5ff7) <=> (0x3bfe; 0x77fd) {5101,5101,31,9,1,1,1,1,1,1,1} | gold | CRC-14F/4.1 ("57767")
• (0x21e8; 0x43d1) <=> (0x22f0; 0x45e1) {5101,5101,12,12,11} | gold | CRC-14K/4.1
• (0x28ee; 0x51dd) <=> (0x2ee2; 0x5dc5) {1771,1771,30,30,7,3,2} | gold | CRC-14F/6 ("50735")
• (0x2ace; 0x559d) <=> (0x2e6a; 0x5cd5) {1351,311,38,10,10,10,2} | gold | CRC-14F/8.1 ("52635")
• (0x3eef; 0x7ddf) <=> (0x3eef; 0x7ddf) {113,113,113,21,1,1,1,1,1,1,1} | gold | CRC-14F/5 ("76737s")
• (0x212d; 0x425b) <=> (0x3690; 0x6d21) {113,113,113,21,3} | gold | CRC-14K/5
• (0x20ee; 0x41dd) <=> (0x2ee0; 0x5dc1) {112,112,50,50,3,3} | gold | (*o) CRC-14K/6sub8
• (0x2371; 0x46e3) <=> (0x31d8; 0x63b1) {78,78,11,11,11,11} | gold | (*o) CRC-14F/8.2 ("43343")
• (0x2efd; 0x5dfb) <=> (0x37ee; 0x6fdd) {55,55,12,12,11,11,1,1,1,1} | gold | (*o) CRC-14F/12 ("56773")

HD profile for all unique 14-bit CRCs

See the NOTES PAGE for interpreting this data. Last update 3/5/2024.

This work is copyright 2015-2024 by Philip Koopman. Licensed under a Creative Commons Attribution 4.0 International License.