lower bound: | 96 |
upper bound: | 96 |
Construction of a linear code [132,6,96] over GF(4): [1]: [132, 6, 96] Linear Code over GF(2^2) Code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, w^2, 0, 1, 0, 1, w^2, 1, 1, 0, 0, 0, w, 1, w, 0, 0, w^2, 1, w^2, 0, 0, w^2, w^2, w, 0, 0, 1, 1, w^2, 1, 0, w, w, 1, w^2, w^2, w^2, 0, w^2, w, w, 0, 1, w^2, w, 1, w^2, 0, w^2, 1, 0, 0, w, 1, w, w, w^2, w, 0, w^2, w^2, 1, w, 0, 0, 1, w, w, 1, 1, w, 1, w^2, 0, w^2, w, w, 1, 1, w, w, 1, 0, 1, w^2, w^2, 0, w^2, w, 0, 0, 1, w, 1, w^2, 1, w, 1, 0, 1, w^2, w^2, w^2, 0, w^2, 1, 0, 1, w, 1, w^2, 0, w, w^2, 0, w^2, w, 0, w, 1, w, w, 0, 1, w, 0, 1, 0, 1 ] [ 0, 1, 0, 1, 0, 0, 1, w, 1, w, 0, 1, 0, 0, w^2, w, w^2, 0, 0, 1, w, 1, 0, 0, 1, 1, 0, w, w^2, w, w, 0, 0, 1, w^2, w^2, w, w, 1, w, 0, w, 0, 1, 1, 1, w^2, w, w, 0, 0, w^2, w, w^2, w^2, 1, 1, w, 1, 0, w, w, w^2, 0, w^2, 1, 1, w^2, 0, 0, 1, w^2, 1, 1, 1, 0, w^2, w^2, 1, w, 1, w^2, 0, w, 1, w, w^2, w^2, 0, w, 0, 0, w, w^2, w^2, 1, 1, w^2, w^2, 0, w^2, w, w, w, 1, w, 0, w, w^2, w^2, 0, w, 1, w^2, 0, w, 1, w, 1, 0, w^2, 0, 1, 0, 1, 1, 1, 0, w^2, w^2, w^2, 0 ] [ 0, 0, 1, w^2, 0, 1, 1, w^2, 0, 1, w^2, w^2, 0, 0, 1, w^2, 0, 1, 1, w^2, 0, 1, w^2, w^2, 1, 1, 1, 1, w^2, w^2, w^2, w^2, 0, 0, 0, 0, w, 0, w, 1, w, w^2, 0, 1, w^2, 0, 1, w^2, 0, 1, 0, w^2, w, 0, w, w^2, w, 1, 1, w^2, 1, w^2, 0, w^2, 0, 1, 1, w^2, 0, w^2, 0, 1, w^2, 0, 1, w, w^2, 0, 1, w, 0, w, 0, w, w^2, 1, w^2, 1, w, w^2, 0, 1, 0, 1, w, w^2, 0, w, 0, 1, 1, w, w, 0, w, 1, w, w^2, 0, 1, w^2, 0, 1, w^2, w^2, 1, w, w^2, w^2, 0, w, w, w, 0, 1, w^2, w, w, w, 0, 1, w^2 ] [ 0, 0, 0, 0, 1, 1, 1, 1, w^2, w^2, w^2, w^2, 0, 0, 0, 0, 1, 1, 1, 1, w^2, w^2, w^2, w^2, 1, 1, 1, 1, w^2, w^2, w^2, w^2, 0, 0, 0, 0, 0, 0, 1, 1, w^2, w^2, w, w, w, 0, 1, w^2, 1, 0, w^2, 0, 0, w, w^2, w, 1, w, w^2, 1, 0, 0, 1, 1, w^2, w^2, 0, 0, 1, 1, w^2, w^2, 1, 1, w^2, w^2, w, w, 0, 0, w^2, w^2, 1, 1, 0, 0, w, w, 0, 0, w, w, w^2, w^2, 1, 1, w, 0, 1, 0, w, 1, 0, 0, 1, 1, w^2, w^2, w, w, w, 0, 1, w^2, 1, w^2, w^2, w, 0, w^2, 0, 1, w^2, w, w, w, w^2, 1, 0, w, w, w ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, w, w, w, 1, 0, w, w, w, 1, 0, 1, 0, w, w, w, 1, 0, w, w, w, 1, 0, 1, 1, w^2, w^2, w, w, w, w, w, w^2, w^2, w^2, w^2, w, w^2, w, w^2, w, 0, 1, 1, 0, 0, 1, w^2, w^2, w, w, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, w^2, w^2, 0, 0, 0, 1, w^2, w^2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, w^2, w^2, 0, 1, 0, 1, 1, 0, w, w, 1, 1, w^2, w^2, w, w, w, w^2, w^2, w^2, w^2, w, w^2, w, w^2, w, 1, w^2, w, w^2, w^2, w^2, w^2, 1, w, w^2, w^2, w^2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, w^2, w^2, w^2, 0, 1, w^2, w^2, w^2, 0, 1, 0, 1, w^2, w^2, w^2, 0, 1, w^2, w^2, w^2, 0, 1, 1, 1, w^2, w^2, w, w, w^2, w^2, w^2, w, w, w, w, w^2, w, w^2, w, w^2, 1, 0, 0, 1, 1, 0, w^2, w^2, w, w, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, w, w, 1, 1, 1, 0, w, w, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, w, w, 1, 0, 1, 0, 0, 1, w, w, 1, 1, w^2, w^2, w^2, w^2, w^2, w, w, w, w, w^2, w, w^2, w, w^2, 1, w^2, w, w, w, w, w^2, 1, w, w, w, w ] where w:=Root(x^2 + x + 1)[1,1]; last modified: 2009-01-28
Lb(132,6) = 94 is found by truncation of: Lb(134,6) = 96 BKW Ub(132,6) = 96 follows by the Griesmer bound.
Notes
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