lower bound: | 92 |
upper bound: | 96 |
Construction of a linear code [153,9,92] over GF(3): [1]: [154, 9, 93] Linear Code over GF(3) Code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0 ] [ 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2 ] [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2 ] [ 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2 ] [ 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1 ] [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1 ] [ 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0 ] [2]: [153, 9, 92] Linear Code over GF(3) Puncturing of [1] at { 154 } last modified: 2009-01-13
Lb(153,9) = 90 is found by shortening of: Lb(154,10) = 90 is found by truncation of: Lb(160,10) = 96 DaH Ub(153,9) = 96 Gur
Gur: Sugi Guritman, Restrictions on the weight distribution of linear codes, Thesis, Techn. Univ. Delft, 2000.
Notes
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