lower bound: | 49 |
upper bound: | 55 |
Construction of a linear code [128,17,49] over GF(2): [1]: [4, 4, 1] Cyclic Linear Code over GF(2) UniverseCode of length 4 [2]: [16, 4, 13] Linear Code over GF(2^4) Shortening of [7] at { 17 } [3]: [128, 16, 52] Linear Code over GF(2) ConcatenatedCode of [2] and [6] [4]: [4, 1, 4] Cyclic Linear Code over GF(2) RepetitionCode of length 4 [5]: [4, 3, 2] Cyclic Linear Code over GF(2) Dual of the RepetitionCode of length 4 [6]: [8, 4, 4] Quasicyclic of degree 2 Linear Code over GF(2) PlotkinSum of [5] and [4] [7]: [17, 5, 13] "BCH code (d = 13, b = 3)" Linear Code over GF(2^4) BCHCode over GF(16) with parameters 17 13 3 [8]: [16, 5, 12] Linear Code over GF(2^4) Puncturing of [7] at { 17 } [9]: [128, 20] Linear Code over GF(2) ConcatenatedCode of [8] and [6] [10]: [132, 20, 49] Linear Code over GF(2) ConstructionX using [9] [3] and [1] [11]: [133, 20, 50] Linear Code over GF(2) ExtendCode [10] by 1 [12]: [129, 17, 50] Linear Code over GF(2) Construction B of [11] [13]: [128, 17, 49] Linear Code over GF(2) Puncturing of [12] at { 129 } last modified: 2004-05-20
Lb(128,17) = 48 is found by taking a subcode of: Lb(128,22) = 48 XBC Ub(128,17) = 55 is found by considering shortening to: Ub(127,16) = 55 Bro
XBC: Extended BCH code.
Notes
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