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

10 Bit CRCs:

See notes on improper 10-bit polynomials

• (0x327; 0x64f) <=> (0x3c9; 0x793) {1013,73,10,5,1} | gold | (*p) CRC-10F/3 ("3117")
• (0x2fd; 0x5fb) <=> (0x37e; 0x6fd) {1013,16,16,5,1,1,1} | gold | (*p) CRC-10F/8.1 ("2773p")
• (0x2c7; 0x58f) <=> (0x3c6; 0x78d) {1013,7,7,6,1} | gold | (*p) CRC-10F/6.1 ("2617p"
• (0x204; 0x409) <=> (0x240; 0x481) {1013} | gold | (*p) FP-10

• (0x247; 0x48f) <=> (0x3c4; 0x789) {501,501,10,10} | gold | (*op) CRC-10F/4.2 ("2217"")
• (0x2de; 0x5bd) <=> (0x2f6; 0x5ed) {501,501,5,5,2,2} | gold | (*op) CRC-10F/8.2 ("2675")
• (0x3ec; 0x7d9) <=> (0x26f; 0x4df) {501,501,4,4,1,1} | gold | (*op) CRC-10-CMDA2000
• (0x206; 0x40d) <=> (0x2c0; 0x581) {501,501} | gold | (*op) FOP-11
• (0x319; 0x633) <=> (0x331; 0x663) {501,501,3,3} | gold | (*op) CRC-10
• (0x3df; 0x7bf) <=> (0x3f7; 0x7ef) {501,501,1,1,1,1,1,1} | gold | (*op) CRC-10F/10 ("3677")

• (0x25d; 0x4bb) <=> (0x374; 0x6e9) {305,305,5,3,3} | gold | CRC-10F/4.1 ("2273")
• (0x28e; 0x51d) <=> (0x2e2; 0x5c5) {95,95,12,12} | gold | (*o) CRC-10F/6.2; CRC-10/6sub8("2435")
• (0x221; 0x443) <=> (0x308; 0x611) {95,95} | gold | (*o) CRC-10/P
• (0x2ba; 0x575) <=> (0x2ba; 0x575) {25,25,2,2,2} | gold | CRC-10-GSM
• (0x2b9; 0x573) <=> (0x33a; 0x675) {21,21,21,3,3} | gold | CRC-10F/5 ("2563")
• (0x29b; 0x537) <=> (0x3b2; 0x765) {5,5,5,5,5} | gold | CRC-10F/7 ("2467")

HD profile for all unique 10-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.