lower bound: | 119 |
upper bound: | 124 |
Construction of a linear code [195,9,119] over GF(3): [1]: [196, 9, 120] Linear Code over GF(3) Code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2 ] [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1 ] [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0 ] [ 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1 ] [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1 ] [2]: [195, 9, 119] Linear Code over GF(3) Puncturing of [1] at { 196 } last modified: 2008-12-05
Lb(195,9) = 117 is found by truncation of: Lb(198,9) = 120 BZ Ub(195,9) = 124 is found by considering truncation to: Ub(194,9) = 123 Gur
Gur: Sugi Guritman, Restrictions on the weight distribution of linear codes, Thesis, Techn. Univ. Delft, 2000.
Notes
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