lower bound: | 152 |
upper bound: | 152 |
Construction of a linear code [231,6,152] over GF(3): [1]: [232, 6, 153] Linear Code over GF(3) Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0 ] [ 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1 ] [ 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2 ] [ 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0 ] [ 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1 ] [2]: [231, 6, 152] Linear Code over GF(3) Puncturing of [1] at { 232 } last modified: 2001-12-17
Lb(231,6) = 152 is found by truncation of: Lb(232,6) = 153 BvE Ub(231,6) = 152 is found by considering truncation to: Ub(230,6) = 151 DM5
DM5: R. N. Daskalov & E. Metodieva, The nonexistence of ternary [105,6,68] and [230,6,152] codes, Designs, Codes and Cryptography, submitted.
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