lower bound: | 64 |
upper bound: | 71 |
Construction of a linear code [160,17,64] over GF(2): [1]: [17, 10, 8] "BCH code (d = 8, b = 14)" Linear Code over GF(2^4) BCHCode over GF(16) with parameters 17 8 14 [2]: [10, 3, 8] Linear Code over GF(2^4) Shortening of [1] at { 11 .. 17 } [3]: [8, 7, 2] Cyclic Linear Code over GF(2) Dual of the RepetitionCode of length 8 [4]: [16, 11, 4] Linear Code over GF(2) PlotkinSum of [3] and [9] [5]: [10, 5, 4] Linear Code over GF(2) Shortening of [4] at { 11 .. 16 } [6]: [8, 1, 8] Cyclic Linear Code over GF(2) RepetitionCode of length 8 [7]: [4, 1, 4] Cyclic Linear Code over GF(2) RepetitionCode of length 4 [8]: [4, 3, 2] Cyclic Linear Code over GF(2) Dual of the RepetitionCode of length 4 [9]: [8, 4, 4] Quasicyclic of degree 2 Linear Code over GF(2) PlotkinSum of [8] and [7] [10]: [16, 5, 8] Linear Code over GF(2) PlotkinSum of [9] and [6] [11]: [16, 1, 16] Cyclic Linear Code over GF(2) RepetitionCode of length 16 [12]: [160, 17, 64] Linear Code over GF(2) ZinovievCode using inner codes: [11] [10], outer codes: [5] [2] last modified: 2001-04-19
Lb(160,17) = 64 is found by taking a subcode of: Lb(160,19) = 64 GW2 Ub(160,17) = 71 is found by considering shortening to: Ub(159,16) = 71 BK
GW2: M. Grassl & G. White, New Codes from Chains of Quasi-cyclic Codes, ISIT 2005.
Notes
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