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

22 Bit CRCs:

• (0x308fd3; 0x611fa7) <=> (0x397e21; 0x72fc43) {4194281,12077,186,100,39,9,9,5,1,1,1} | gold | (*p) CRC-22K/3.1
• (0x36e400; 0x6dc801) <=> (0x2004ed; 0x4009db) {4194281,6553,67,67,45,38,3} | gold | (*p) CRC-22K/3.5
• (0x294d54; 0x529aa9) <=> (0x255652; 0x4aaca5) {4194281,4583,195,31,31,19,15,15,2} | gold | (*p) CRC-22K/3.7
• (0x3915e9; 0x722bd3) <=> (0x32f513; 0x65ea27) {4194281,3745,6,6,6,6,6,6,6,5,5} | gold | (*p) CRC-22K/3.10
• (0x2729b5; 0x4e536b) <=> (0x35b29c; 0x6b6539) {4194281,3089,394,44,41,12,8,8,8,8,3} | gold | (*p) CRC-22K/3.9
• (0x3bc316; 0x77862d) <=> (0x2d187b; 0x5a30f7) {4194281,2153,632,70,14,14,14,6,5,2,1} | gold | (*p) CRC-22K/3.2
• (0x3ef8b1; 0x7df163) <=> (0x31a3ef; 0x6347df) {4194281,1986,300,78,69,17,12,4,1,1,1,1,1} | gold | (*p) CRC-22K/3.4
• (0x25ef7d; 0x4bdefb) <=> (0x37def4; 0x6fbde9) {4194281,715,197,164,50,4,4,4,3,3,1,1,1,1,1} | gold | (*p) CRC-22K/3.3
• (0x36e098; 0x6dc131) <=> (0x2320ed; 0x4641db) {4194281,577,387,65,35,12,12,12,12} | gold | (*p) CRC-22K/3.8
• (0x38b0d2; 0x7161a5) <=> (0x2961a3; 0x52c347) {4194281,641,292,110,37,22,21,9,7} | gold | (*p) CRC-22K/3.6
• (0x200001; 0x400003) <=> (0x300000; 0x600001) {4194281} | gold | (*p) FP-22

• (0x2aedd3; 0x55dba7) <=> (0x3976ea; 0x72edd5) {3669987,4063,302,105,40,22,22,5,5,2,2,2,2} | gold | CRC-22K/9
• (0x36f627; 0x6dec4f) <=> (0x3c8ded; 0x791bdb) {3669987,2931,263,72,20,20,12,12,12,2,1,1,1} | gold | CRC-22K/11

• (0x248794; 0x490f29) <=> (0x253c24; 0x4a7849) {2097129,2097129,509,509,26,26,12,12} | gold | (*op) CRC-22K/4
• (0x200047; 0x40008f) <=> (0x3c4000; 0x788001) {2097129,2097129,185,185} | gold | (*op) FOP-22

• (0x200053; 0x4000a7) <=> (0x394000; 0x728001) {680063,680063,412,412} | gold | (*o) CRC-22K/6sub8
• (0x25d467; 0x4ba8cf) <=> (0x3cc574; 0x798ae9) {275225,3391,195,162,39,5,5,5,5,5,5} | CRC-22K/13.1
• (0x395b53; 0x72b6a7) <=> (0x395b53; 0x72b6a7) {2028,2028,1004,1004,34,34,4,4,4,4,2,2} | gold | (*o) CRC-22K/6
• (0x2a952a; 0x552a55) <=> (0x2a952a; 0x552a55) {2025,2025,2025,158,2,2,2,2,2} | gold | CRC-22K/5
• (0x289cfe; 0x5139fd) <=> (0x2fe722; 0x5fce45) {105,105,105,105,105,105,15,15,4,4,1,1} | gold | (*o) CRC-22K/8
• (0x247bc4; 0x48f789) <=> (0x247bc4; 0x48f789) {60,60,20,20,20,20,20,20,4,4} | gold | (*o) CRC-22K/10
• (0x22efb7; 0x45df6f) <=> (0x3dbee8; 0x7b7dd1) {40,40,10,10,10,10,10,10,10,10,1,1,1,1} | gold | (*o) CRC-22K/12

HD profile for all unique 22-bit CRCs (zip format)

Thanks to Carl Adams-Waite for pointing out a transcription error with CRC-22K.13, which has been updated to a new CRC-22K/13.1.

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.