lower bound: | 96 |
upper bound: | 96 |
Construction of a linear code [147,5,96] over GF(3): [1]: [148, 6, 96] Linear Code over GF(3) Construction from a stored generator matrix: [ 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2 ] [ 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2 ] [ 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] [2]: [147, 5, 96] Linear Code over GF(3) Shortening of [1] at { 148 } last modified: 2001-12-17
Lb(147,5) = 96 is found by shortening of: Lb(148,6) = 96 Bo3 Ub(147,5) = 96 Lg
Lg: I.N. Landgev, The nonexistence of some ternary five-dimensional codes, Des. Codes Cryptogr., to appear.
Notes
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