lower bound: | 81 |
upper bound: | 84 |
Construction of a linear code [132,8,81] over GF(3): [1]: [132, 8, 81] Linear Code over GF(3) Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1 ] [ 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2 ] [ 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1 ] [ 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1 ] [ 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1 ] [ 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1 ] last modified: 2006-05-03
Lb(132,8) = 80 is found by truncation of: Lb(133,8) = 81 GW2 Ub(132,8) = 84 follows by the Griesmer bound.
Notes
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