lower bound: | 60 |
upper bound: | 64 |
Construction of a linear code [92,8,60] over GF(4): [1]: [92, 8, 60] Linear Code over GF(2^2) Code found by Axel Kohnert and Johannes Zwanzger Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 0, w, w, 1, 1, w, 0, 1, 1, w^2, 0, 0, w^2, w, w^2, 0, 0, 1, 1, w^2, 1, w, 0, 1, 0, 1, 0, 0, w, w, w, 1, w, 0, 0, 1, w^2, 0, w, 1, w, w^2, w^2, w^2, w, 1, 1, w, 1, 0, w^2, w^2, w, w, 1, w, w, 1, w, 1, 0, 0, w, w^2, 1, 0, w^2, 0, w, w, 1, w, 1, w, w, w^2, 0, 1, w, 0, 0, w, 0, 0, w^2 ] [ 0, 1, 0, 0, 0, 0, 0, 1, w, w^2, 1, w^2, 0, w^2, 1, w^2, 1, 0, 1, 1, w, 1, w^2, 1, w^2, w, 0, w^2, 0, 0, 0, 1, 1, w, w^2, 1, 0, w^2, 1, 1, 0, w, w^2, w^2, 0, w, 1, w^2, 0, 0, w^2, w, w^2, 0, w, 0, 1, w^2, 1, 1, 1, w, 0, w^2, w, w, 0, 1, 0, 0, 1, 0, 1, w, w, 1, w^2, w^2, 0, 0, 1, w, 1, w, 0, 1, 0, w, 1, w^2, w^2, w ] [ 0, 0, 1, 0, 0, 0, 0, w^2, 0, 0, w, w^2, w^2, w^2, w, 0, 1, 0, w, 0, w, w^2, w, w^2, w, 0, w, 1, w^2, w^2, w, 1, w, w^2, 1, w, w, w^2, 0, 0, 1, w^2, 1, w, w, 1, 1, w^2, 1, w, 1, 0, w^2, 0, w, 1, 1, w, w^2, w^2, 0, w^2, w, w, w, 1, 1, 0, 0, w^2, 1, w^2, w^2, 1, w, 1, w^2, 1, 1, 0, w^2, w, 0, 1, w^2, w^2, 0, w, 0, 1, w^2, w ] [ 0, 0, 0, 1, 0, 0, 0, w, 0, w^2, 1, 1, w^2, 0, w, 0, 1, 0, w^2, w, 0, 0, w, w, 1, w, w^2, 0, 1, w, 0, 0, 1, 0, w^2, 1, w, w^2, w^2, 1, w^2, 1, 1, 1, w^2, w^2, w, w, w, 1, 0, w, w^2, w^2, w^2, 1, w, w^2, w^2, 1, w^2, w, w, w^2, w^2, 0, w, w, w^2, 1, w, w^2, 1, 1, 0, w^2, w, 1, 1, 0, w^2, w, 1, w, 1, 1, 0, w, w^2, 0, w^2, 0 ] [ 0, 0, 0, 0, 1, 0, 0, w^2, w, 1, w^2, w^2, 1, w, w, 1, 0, 0, w^2, 1, 1, 0, 1, w, w^2, 0, 0, w^2, 0, 1, w^2, 1, 0, w, 0, w, w, 0, 0, w^2, 1, 1, 1, w^2, w^2, w^2, w, 0, 1, 0, 0, w^2, w, 1, w, 0, 1, 1, 1, 0, 0, 1, 0, w^2, 1, 0, w, w, 0, w^2, 1, 0, 1, 1, 0, 0, w, w^2, 1, w^2, w, 1, 0, 1, 1, 1, 1, w^2, w^2, 0, 1, 1 ] [ 0, 0, 0, 0, 0, 1, 0, w^2, w, w^2, w, 0, 0, 1, w^2, w, w^2, 0, w^2, 1, w^2, 1, w, 0, 0, w, 1, w^2, w^2, w^2, 1, 1, w^2, w^2, 1, w, 0, w^2, 1, w^2, 0, w, 0, w^2, 1, 0, 1, 0, 1, 0, 1, 1, w, 1, 1, w^2, 0, w^2, 0, w, w^2, 0, w^2, w, w, 1, 0, 1, w^2, 1, w, w, 1, w^2, w^2, w, 1, w, w, w^2, 0, 0, w, 1, w^2, 0, w, 1, 1, w^2, w^2, 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, 0, 0, 0, 0, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, w^2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, w ] [ 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, 0, 0, 1, 0, 1, 1, 1 ] where w:=Root(x^2 + x + 1)[1,1]; last modified: 2008-05-23
Lb(92,8) = 59 is found by truncation of: Lb(95,8) = 62 DaH Ub(92,8) = 64 follows by the Griesmer bound.
Notes
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