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

21 Bit CRCs:

• (0x1707ea; 0x2e0fd5) <=> (0x157e0e; 0x2afc1d) {2097130,8525,222,68,25,15,2,2,2,2,1} | gold | (*p) CRC-21K/3.1
• (0x12ca8e; 0x25951d) <=> (0x171534; 0x2e2a69) {2097130,3088,241,52,19,19,19,5,5} | gold | (*p) CRC-21K/3.6
• (0x138517; 0x270a2f) <=> (0x1e8a1c; 0x3d1439) {2097130,2605,266,66,24,12,11,10,10} | gold | (*p) CRC-21K/3.8
• (0x1c7d73; 0x38fae7) <=> (0x1cebe3; 0x39d7c7) {2097130,2478,510,25,25,16,13,7,1,1,1,1,1} | gold | (*p) CRC-21K/3.2
• (0x16ae33; 0x2d5c67) <=> (0x1cc756; 0x398ead) {2097130,1188,94,89,57,12,12,6,5,2,2} | gold | (*p) CRC-21K/3.4
• (0x1d3b83; 0x3a7707) <=> (0x1c1dcb; 0x383b97) {2097130,1077,223,137,36,3,3,3,1,1,1} | gold | (*p) CRC-21K/3.3
• (0x113ab8; 0x227571) <=> (0x11d5c8; 0x23ab91) {2097130,1056,76,76,40,29,4,4,4} | gold | (*p) CRC-21K/3.5
• (0x132b7a; 0x2656f5) <=> (0x15ed4c; 0x2bda99) {2097130,440,364,92,16,16,12,8,6,6,2} | gold | (*p) CRC-21K/3.9
• (0x1ab344; 0x356689) <=> (0x122cd5; 0x2459ab) {2097130,439,194,65,27,15,11,11,7} | gold | (*p) CRC-21K/3.7
• (0x100002; 0x200005) <=> (0x140000; 0x280001) {2097130} | gold | (*p) FP-21

• (0x10df8f; 0x21bf1f) <=> (0x1f1fb0; 0x3e3f61) {1048554,1048554,370,370,26,26,1,1,1,1,1,1} | gold | (*op) CRC-21K/4
• (0x100005; 0x20000b) <=> (0x1a0000; 0x340001) {1048554,1048554} | gold | (*op) FOP-21

• (0x100077; 0x2000ef) <=> (0x1ee000; 0x3dc001) {262122,262122,261,261,1,1} | gold | (*o) CRC-21K/6sub8
• (0x198313; 0x330627) <=> (0x1c8c19; 0x391833) {65514,65514,175,175,48,48,6,6} | gold | (*o) CRC-21K/8
• (0x1edfb7; 0x3dbf6f) <=> (0x1edfb7; 0x3dbf6f) {1004,1004,1004,1004,28,28,7,7,1,1,1,1,1,1,1,1} | gold | (*o) CRC-21K/6
• (0x18144c; 0x302899) <=> (0x132281; 0x264503) {1002,1002,1002,1002,8,8} | gold | (*o) CRC-21-CAN
• (0x12faa5; 0x25f54b) <=> (0x1a55f4; 0x34abe9) {106,106,106,106,106,24,16,5,2,2,2} | gold | CRC-21K/7
• (0x16e976; 0x2dd2ed) <=> (0x16e976; 0x2dd2ed) {20,20,20,20,20,20,20,20,2,2,2,2} | gold | (*o) CRC-21K/10
• (0x165751; 0x2caea3) <=> (0x18aea6; 0x315d4d) {10,10,10,10,10,10,10,10,10,10} | gold | (*o) CRC-21K/12

HD profile for all unique 21-bit CRCs (zip format)

See the NOTES PAGE for interpreting this data. Last update 3/9/2024.

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