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

15 Bit CRCs:

• (0x4f23; 0x9e47) <=> (0x713c; 0xe279) {32752,786,45,12,9,8,1} | gold | (*p) CRC-15F/3 ("117107p")
• (0x5fff; 0xbfff) <=> (0x7ffe; 0xfffd) {32752,703,1,1,1,1,1,1,1,1,1,1,1} | gold | (*p) CRC-15F/10.1 ("137777p")
• (0x4f51; 0x9ea3) <=> (0x62bc; 0xc579) {32752,361,48,10,5,5,5} | gold | (*p) CRC-15F/9 ("117243p")
• (0x5b57; 0xb6af) <=> (0x7ab6; 0xf56d) {32752,270,52,18,16,2,2,2,2} | gold | (*p) CRC-15F/7 ("133257p")
• (0x4bf9; 0x97f3) <=> (0x67f4; 0xcfe9) {32752,195,36,36,9,6,1,1,1} | gold | (*p) CRC-15K/6
• (0x4d3c; 0x9a79) <=> (0x4f2c; 0x9e59) {32752,190,94,10,10,3,3} | gold | (*p) CRC-15K/5
• (0x54d6; 0xa9ad) <=> (0x5aca; 0xb595) {32752,54,47,10,8,8,2} | gold | (*p) CRC-15K/3
• (0x4001; 0x8003) <=> (0x6000; 0xc001) {32752} | gold | (*p) FP-15

• (0x5a47; 0xb48f) <=> (0x7896; 0xf12d) {30690,166,33,19,5,5,5} | gold | CRC-15K/9

• (0x4306; 0x860d) <=> (0x5830; 0xb061) {16368,16368,68,68} | gold | (*op) CRC-15F/4.2 ("103015")
• (0x404b; 0x8097) <=> (0x7480; 0xe901) {16368,16368,60,60} | gold | (*op) CRC-15K/6sub8
• (0x57e7; 0xafcf) <=> (0x79fa; 0xf3f5) {16368,16368,45,45,12,12,1,1,1,1} | gold | (*op) CRC-15F/8.2 ("127717")
• (0x77bf; 0xef7f) <=> (0x7f7b; 0xfef7) {16368,16368,39,39,1,1,1,1,1,1,1,1} | gold | (*op) CRC-15F/14 ("167577")
• (0x67a5; 0xcf4b) <=> (0x6979; 0xd2f3) {16368,16368,24,24,11,11,3,3} | gold | (*op) CRC-15F/10.2 ("147513")
• (0x630b; 0xc617) <=> (0x7431; 0xe863) {16368,16368,13,13,12,12} | gold | (*op) CRC-15K/4
• (0x4014; 0x8029) <=> (0x4a00; 0x9401) {16368,16368} | gold | (*op) FOP-15

• (0x5cde; 0xb9bd) <=> (0x5ece; 0xbd9d) {10220,10220,65,9,5,5,4,2,1} | gold | CRC-15F/4.1 ("134675")
• (0x4976; 0x92ed) <=> (0x5ba4; 0xb749) {10220,10220,60,18,3,3,3} | gold | CRC-15/4
• (0x4d65; 0x9acb) <=> (0x69ac; 0xd359) {1042,178,50,19,13,11,3} | gold | CRC-15F/8.1 ("115313")
• (0x5bd5; 0xb7ab) <=> (0x6af6; 0xd5ed) {440,180,35,16,16,2,2,2,2} | gold | CRC-15K/7
• (0x6a8d; 0xd51b) <=> (0x6c55; 0xd8ab) {136,136,136,16,5,2,2} | gold | CRC-15F/5 ("152433")
• (0x573a; 0xae75) <=> (0x573a; 0xae75) {114,114,114,114,7,7,2,2} | gold | (*o) CRC-15F/6.2 ("127165s")
• (0x62cc; 0xc599) <=> (0x4cd1; 0x99a3) {112,112,112,112,7,7} | gold | (*o) CAN
• (0x485c; 0x90b9) <=> (0x4e84; 0x9d09) {48,48,48,48,9} | gold | CRC-15F/6.1 ("110271")
• (0x740a; 0xe815) <=> (0x540b; 0xa817) {48,48,48,13,2} | gold | CRC-15-MPT1327

HD profile for all unique 15-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.