lower bound: | 56 |
upper bound: | 62 |
Construction of a linear code [144,18,56] over GF(2): [1]: [256, 21, 112] Linear Code over GF(2) Extended BCHCode with parameters 255 111 [2]: [255, 21, 111] Cyclic Linear Code over GF(2) Puncturing of [1] at { 256 } [3]: [144, 20, 56] Linear Code over GF(2) Puncturing of [2] at { 1, 12, 22, 23, 24, 25, 27, 30, 31, 32, 35, 36, 37, 40, 44, 45, 47, 51, 53, 55, 62, 63, 65, 66, 71, 73, 76, 79, 80, 84, 85, 86, 87, 90, 93, 97, 98, 101, 102, 104, 105, 108, 109, 111, 113, 119, 123, 125, 127, 133, 135, 139, 142, 144, 146, 147, 148, 149, 151, 152, 153, 158, 161, 162, 163, 165, 167, 168, 170, 172, 174, 178, 179, 182, 183, 185, 187, 188, 189, 190, 194, 196, 204, 206, 213, 215, 217, 218, 219, 220, 221, 222, 225, 226, 227, 229, 233, 234, 235, 236, 237, 238, 242, 244, 246, 248, 249, 250, 252, 254, 255 } [4]: [144, 18, 56] Linear Code over GF(2) Subcode of [3] last modified: 2001-01-30
Lb(144,18) = 56 is found by taking a subcode of: Lb(144,20) = 56 is found by construction A: taking the residue of: Lb(255,21) = 111 is found by truncation of: Lb(256,21) = 112 XBC Ub(144,18) = 62 is found by considering shortening to: Ub(142,16) = 62 otherwise adding a parity check bit would contradict: Ub(143,16) = 63 BK
XBC: Extended BCH code.
Notes
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