lower bound: | 90 |
upper bound: | 99 |
Construction of a linear code [216,17,90] over GF(2): [1]: [4, 1, 4] Cyclic Linear Code over GF(2) RepetitionCode of length 4 [2]: [4, 3, 2] Cyclic Linear Code over GF(2) Dual of the RepetitionCode of length 4 [3]: [8, 4, 4] Quasicyclic of degree 2 Linear Code over GF(2) PlotkinSum of [2] and [1] [4]: [7, 4, 3] Linear Code over GF(2) Puncturing of [3] at 1 [5]: [14, 3, 12] Linear Code over GF(2^4) Shortening of [8] at { 15 .. 17 } [6]: [210, 13, 96] Linear Code over GF(2) ZinovievCode using inner codes: [12] [11], outer codes: [5] [7] [7]: [14, 1, 14] Cyclic Linear Code over GF(2) RepetitionCode of length 14 [8]: [17, 6, 12] "BCH code (d = 12, b = 12)" Linear Code over GF(2^4) BCHCode over GF(16) with parameters 17 12 12 [9]: [15, 4, 12] Linear Code over GF(2^4) Shortening of [8] at { 16 .. 17 } [10]: [14, 4, 11] Linear Code over GF(2^4) Puncturing of [9] at { 15 } [11]: [15, 5, 7] "BCH code (d = 7, b = 1)" Linear Code over GF(2) BCHCode with parameters 15 7 [12]: [15, 4, 8] "BCH code (d = 8, b = 15)" Linear Code over GF(2) BCHCode with parameters 15 8 0 [13]: [210, 17] Linear Code over GF(2) ZinovievCode using inner codes: [12] [11], outer codes: [10] [7] [14]: [217, 17, 91] Linear Code over GF(2) ConstructionX using [13] [6] and [4] [15]: [218, 17, 92] Linear Code over GF(2) ExtendCode [14] by 1 [16]: [216, 17, 90] Linear Code over GF(2) Puncturing of [15] at { 217 .. 218 } last modified: 2001-01-30
Lb(216,17) = 90 is found by truncation of: Lb(218,17) = 92 is found by adding a parity check bit to: Lb(217,17) = 91 XB Ub(216,17) = 99 BK
XB:
Notes
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