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

27 Bit CRCs:

• (0x5e04635; 0xbc08c6b) <=> (0x6b1881e; 0xd63103d) {134217700,75090,1050,204,43,41,28,16,11,4,4} | gold | (*p) CRC-27K/3.1
• (0x43cdaed; 0x879b5db) <=> (0x6dd6cf0; 0xdbad9e1) {134217700,30670,2312,256,93,45,25,8,8,2,2,2,2,2,1} | gold | (*p) CRC-27K/3.2
• (0x6a21e4f; 0xd443c9f) <=> (0x7c9e115; 0xf93c22b) {134217700,30200,399,192,66,50,18,14,8,8,8,8,1} | gold | (*p) CRC-27K/3.9
• (0x638e897; 0xc71d12f) <=> (0x7a45c71; 0xf48b8e3) {134217700,27260,653,446,91,54,29,20,8,8,5,4,1} | gold | (*p) CRC-27K/3.3
• (0x4429686; 0x8852d0d) <=> (0x585a508; 0xb0b4a11) {134217700,27028,624,270,112,48,48,17,11} | gold | (*p) CRC-27K/9
• (0x6ae846d; 0xd5d08db) <=> (0x6d885d5; 0xdb10bab) {134217700,24977,391,172,161,41,16,16,15,2,2,2,2} | gold | (*p) CRC-27K/3.4
• (0x4f2e9e6; 0x9e5d3cd) <=> (0x59e5d3c; 0xb3cba79) {134217700,22817,853,244,87,83,30,20,5,3,3,3,3,3,1} | gold | (*p) CRC-27K/3.5
• (0x7464427; 0xe8c884f) <=> (0x790898b; 0xf211317) {134217700,21092,1450,185,79,30,21,21,20,5,5} | gold | (*p) CRC-27K/3.7
• (0x4000013; 0x8000027) <=> (0x7200000; 0xe400001) {134217700,19511,662} | gold | (*p) FP-27
• (0x4cbaf41; 0x9975e83) <=> (0x60bd74c; 0xc17ae99) {134217700,14634,713,274,70,54,24,17,7,7,7,7,7} | gold | (*p) CRC-27K/3.10
• (0x472d41c; 0x8e5a839) <=> (0x4e0ad38; 0x9c15a71) {134217700,10790,1042,207,95,54,24,16,16,15,4} | gold | (*p) CRC-27K/3.8
• (0x4f70bd9; 0x9ee17b3) <=> (0x66f43bc; 0xcde8779) {134217700,9144,804,39,39,39,37,30,5,5,5,3,1,1,1} | gold | (*p) CRC-27K/3.6
• (0x46569fb; 0x8cad3f7) <=> (0x77e5a98; 0xefcb531) {134217700,5364,969,185,69,40,34,10,6,5,5,5,5,5,1} | gold | (*p) CRC-27K/3.11
• (0x6986313; 0xd30c627) <=> (0x7231865; 0xe4630cb) {134217700,3942,1156,223,84,52,11,11,11,11,11} | gold | (*p) CRC-27K/13

• (0x745e8bf; 0xe8bd17f) <=> (0x7f45e8b; 0xfe8bd17) {67108836,67108836,1785,1785,45,45,10,10,6,6,2,2,1,1,1,1} | gold | (*op) CRC-27K/4
• (0x4000011; 0x8000023) <=> (0x6200000; 0xc400001) {67108836,67108836} | gold | (*op) FOP-27

• (0x4000074; 0x80000e9) <=> (0x4b80000; 0x9700001) {67067881,67067881,1084,1084} | gold | (*o) CRC-27K/6sub8
• (0x6a611bf; 0xd4c237f) <=> (0x7f62195; 0xfec432b) {66977254,66977254,1161,1161,64,64,16,16,9,9,9,9,1,1} | gold | (*o) CRC-27K/14
• (0x51aff9a; 0xa35ff35) <=> (0x567fd62; 0xacffac5) {64495907,64495907,882,882,68,68,41,41,4,4,2,2,2,2,1,1} | gold | (*o) CRC-27K/10
• (0x65bd513; 0xcb7aa27) <=> (0x722af69; 0xe455ed3) {22357307,22357307,6,6,6,6,6,6,6,6,6,6,6,6} | gold | (*o) CRC-27K/16
• (0x58695e3; 0xb0d2bc7) <=> (0x71ea586; 0xe3d4b0d) {644778,644778,845,137,31,24,24,24,8,7,7,7,7} | gold | CRC-27K/15
• (0x6c3ff0d; 0xd87fe1b) <=> (0x6c3ff0d; 0xd87fe1b) {8166,8166,8166,8166,86,86,16,16,1,1,1,1,1,1,1,1} | gold | (*o) CRC-27K/6
• (0x4cb658f; 0x996cb1f) <=> (0x7c69b4c; 0xf8d3699) {993,993,230,230,230,230,26,26,6,6,5,5,3,3} | gold | (*o) CRC-27K/8
• (0x521f64b; 0xa43ec97) <=> (0x749be12; 0xe937c25) {484,484,484,484,484,63,26,14,11,5,5,3,3} | gold | CRC-27K/7
• (0x4258c0f; 0x84b181f) <=> (0x7c0c690; 0xf818d21) {161,161,24,24,24,24,23,23,23,23} | gold | (*o) CRC-27K/12
• (0x474fd47; 0x8e9fa8f) <=> (0x78afcb8; 0xf15f971) {36,36,36,36,36,36,36,36,36,7,5,3,1,1,1} | gold | CRC-27K/11

See the NOTES PAGE for interpreting this data. Last update 2/14/2023.
Thanks to Adam Berger for spotting a typo on the name of CRC-27K/7.

This work is copyright 2015-2016 by Philip Koopman. Licensed under a Creative Commons Attribution 4.0 International License.