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

45-Bit CRCs

(0x10000000000d; 0x20000000001b) <=> (0x1b0000000000; 0x360000000001) {35184372088786,8477942,89960} | gold | (*p) FP-45
(0x100000000022; 0x200000000045) <=> (0x144000000000; 0x288000000001) {17592186044370,17592186044370} | gold | (*op) FOP-45

46-Bit CRCs

(0x200000000097; 0x40000000012f) <=> (0x3d2000000000; 0x7a4000000001) {70368744177617,11479602,57673,5920,1274} | gold | (*p) FP-46
(0x200000000012; 0x400000000025) <=> (0x290000000000; 0x520000000001) {35184372088785,35184372088785} | gold | (*op) FOP-46

47-Bit CRCs

(0x400000000010; 0x800000000021) <=> (0x420000000000; 0x840000000001) {140737488355280} | gold | (*p) FP-47
(0x400000000027; 0x80000000004f) <=> (0x790000000000; 0xf20000000001) {70368744177616,70368744177616,82774,82774} | gold | (*op) FOP-47

48-Bit CRCs

(0x80000000005b; 0x10000000000b7) <=> (0xed0000000000; 0x1da0000000001) {281474976710607,24997139,148294,10374,2126} (*p) FP-48
(0x800000000003; 0x1000000000007) <=> (0xe00000000000; 0x1c00000000001) {140737488355279,140737488355279} (*op) FOP-48
(0x8000000000ed; 0x10000000001db) <=> (0xdb8000000000; 0x1b70000000001) {27214007884029,27214007884029,156398,156398,2,2} (*o) CRC-48K/6sub8

See the NOTES PAGE for interpreting this data. Last update 8/2018.

This work is copyright 2018 by Philip Koopman. Licensed under a Creative Commons Attribution 4.0 International License.