lower bound: | 129 |
upper bound: | 135 |
Construction of a linear code [207,8,129] over GF(3): [1]: [207, 8, 129] Linear Code over GF(3) code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1 ] [ 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0 ] [ 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0 ] [ 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0 ] [ 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 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, 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, 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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0 ] last modified: 2006-02-16
Lb(207,8) = 129 is found by truncation of: Lb(210,8) = 132 Koh Ub(207,8) = 135 follows by the Griesmer bound.
Notes
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