lower bound: | 92 |
upper bound: | 93 |
Construction of a linear code [128,6,92] over GF(4): [1]: [128, 6, 92] Linear Code over GF(2^2) code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, w, w, w, w, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, 1, 0, 0, 0, 0, 0, 0, 0, 0, w, w, w, w, w^2, w^2, w^2, w^2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, w^2, w^2, w, w, w, w, w, w, w, w, w, w^2, w^2, w^2, w^2, w^2, w^2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, w, w, w, w, w^2, w^2, w^2, w^2, w, w, w, w, w, w^2, w^2, w^2, w^2, w^2, w^2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, w^2, w^2, w, w, w, w, w^2, w^2, 1, 0, 1, 0, w^2, w, 1 ] [ 0, 1, 0, 0, 0, 1, 1, 0, w^2, 0, 0, w^2, w^2, 0, 1, w, w^2, w^2, w^2, 0, 1, w, w^2, 1, w^2, 1, 0, w^2, w^2, w^2, 0, 0, w^2, 1, 0, w, 1, w^2, 1, 1, 0, 0, 0, w^2, w^2, 1, w^2, 1, w, 0, 0, w^2, w^2, 1, w^2, w, 1, w, 1, w, w, 0, w^2, w^2, w, 0, w^2, 1, w, w, 1, 0, w^2, w, 0, w, 0, 1, w, w, w, 1, 1, w, 0, w^2, 0, 0, 1, 1, w, w^2, 1, w^2, w^2, w^2, w, w, 1, w^2, w, w, 0, 1, 0, w^2, 1, 1, 0, w^2, 1, w^2, 0, w, w^2, 0, 0, w, 1, 0, 0, w^2, 1, 0, w, 1, w^2, 0 ] [ 0, 0, 1, 0, 0, 0, 1, w^2, 1, 0, w^2, 0, w, 1, w^2, w^2, 0, w^2, w^2, 1, w^2, 1, 1, w^2, 0, w, w^2, w^2, 0, w^2, w^2, 0, 1, 0, 0, 1, w, 0, 1, 1, 0, 1, 0, w, w, w^2, w, 1, 0, w^2, 1, 0, 0, w, 1, 1, w, w, w, w^2, 0, w, 0, w^2, w, w^2, w^2, w^2, w^2, w^2, 1, w^2, 1, 1, w^2, 0, w, w^2, w^2, 0, w^2, w^2, 0, 1, 0, w, w, w, w^2, 0, w^2, 0, 0, 1, w^2, w^2, w^2, w, w, 1, 0, w, 1, w, 0, w^2, 0, w, w, 0, 1, 1, 1, w, 0, 1, w^2, 1, 0, 1, 1, w, 1, w^2, 0, 1, 0, 1 ] [ 0, 0, 0, 1, 0, 1, w^2, 1, 0, w^2, w^2, w, 0, 0, 0, w^2, 1, w^2, 1, w^2, 0, 1, 1, w, w^2, w^2, w^2, 0, w^2, w^2, 0, 1, 0, w^2, 0, w^2, 0, 1, 1, w^2, w^2, 1, 0, 1, 0, w^2, w, 1, 0, 0, w, 0, w^2, 1, 0, 1, w^2, w, 1, w^2, w^2, w^2, w, 1, w, w^2, w, w, w, 0, w, 1, 0, 0, w^2, w, w, w, 1, w, w, 1, 0, 1, w, 1, w, w^2, w^2, w^2, w, 0, w, 1, w, 1, 0, w^2, w^2, w, w^2, 1, 1, w^2, w, 1, 0, 0, 1, w^2, 0, w^2, 0, 1, w^2, 0, 1, 0, w, 0, 0, w^2, 1, 1, w, w, 1, 1 ] [ 0, 0, 0, 0, 1, w^2, 0, 1, 1, 1, w, w^2, w^2, w^2, 0, 0, 0, w^2, 0, w^2, w^2, w^2, w, 1, 1, 1, w^2, w^2, w^2, 0, 1, w^2, 0, 0, 0, 0, w^2, w, 1, w, w, 1, 1, 1, 0, w, 0, w^2, 0, 1, 1, w^2, 0, w, w, w, 1, w^2, w^2, w^2, 0, 0, w, w, 1, w^2, 0, w, w^2, 0, w^2, w^2, w^2, w, 1, 1, 1, w^2, w^2, w^2, 0, 1, w^2, 0, 0, 0, 0, 1, 1, w, w, w, w, w, w^2, 0, w, 0, w^2, w^2, w^2, w^2, 0, 0, w, 1, 1, w, w, 1, 1, 0, 0, w, w^2, w^2, 0, 1, 1, 1, 1, w, 1, w, 0, w, w, 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, 0, 0, 1, 1, 1, 1 ] where w:=Root(x^2 + x + 1)[1,1]; last modified: 2006-07-25
Lb(128,6) = 92 Koh Ub(128,6) = 93 follows by a one-step Griesmer bound from: Ub(34,5) = 23 is found by considering shortening to: Ub(33,4) = 23 is found by considering truncation to: Ub(32,4) = 22 GH
Koh: Axel Kohnert, email, 2006.
Notes
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