CRC Polynomial Zoo

Philip Koopman, Carnegie Mellon University

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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

7 Bit CRCs:

• (0x65; 0xcb) <=> (0x69; 0xd3) {120,14,3} [@119:proper,2.9x] | gold | (*p) CRC-7F/2 ("313p")
• (0x77; 0xef) <=> (0x7b; 0xf7) {120,12,1,1,1} [@119:proper,6.2x] | gold | (*p) CRC-7F/6 ("357p")
• (0x72; 0xe5) <=> (0x53; 0xa7) {120,7,4} [@119:proper,4.0x] | gold | (*p) FT2; CRC-7-MVB; CRC-7F/5 ("345p")
• (0x41; 0x83) <=> (0x60; 0xc1) {120} [@119:1.2x,2.1x] | gold | (*p) FP-7
• (0x44; 0x89) <=> (0x48; 0x91) {120} [@119:proper,5.5x] | gold | (*p) CRC-7

• (0x5b; 0xb7) <=> (0x76; 0xed) {56,56,2,2} [@118:proper,3.8x] | gold | (*op) CRC-7F/4.2 ("267p")
• (0x62; 0xc5) <=> (0x51; 0xa3) {56,56} | gold [@118:proper,2.2x] | (*op) CRC-7P
• (0x4a; 0x95) <=> (0x54; 0xa9) {56,56} [@118:proper,5.5x] | gold | (*op) FOP-7

• (0x4d; 0x9b) <=> (0x6c; 0xd9) {28,28,3} [@27:proper,3.0x] | gold | CRC-7F/4.1 ("233")
• (0x68; 0xd1) <=> (0x45; 0x8b) {8,8} [@22:1.4x,4.5x] | gold | (*o)
• (0x67; 0xcf) <=> (0x79; 0xf3) {7,7,1,1} [@6:proper,1.4x] | gold | (*o) RFC 3095

HD profile for all unique 7-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.