lower bound: | 112 |
upper bound: | 112 |
Construction of a linear code [152,5,112] over GF(4): [1]: [152, 5, 112] Linear Code over GF(2^2) Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, w^2, w, w, 0, w^2, 0, w^2, 0, 1, w^2, w, w, 1, 1, 1, 0, w^2, 0, w, 1, w, w, 0, w, w, 0, 0, w^2, 0, w, 1, w^2, 0, 0, 0, w^2, w, 1, w^2, w, w, 0, w, 0, 1, 0, w, 1, 1, 0, w^2, w^2, 0, w^2, w^2, w, 0, 0, w, 0, w, 1, 1, 1, w^2, 1, w^2, w, 0, 1, 0, 1, w^2, 1, w^2, 0, w, w, w, w, 1, w, w^2, 0, 1, w^2, w^2, 1, 1, 1, 1, w, 0, 0, w, 1, 0, w^2, 0, 1, 1, 1, w, 1, w, 0, 1, w, 1, w^2, 0, 1, 1, w^2, w^2, 1, w^2, 1, w^2, 1, w, w, w, 1, w, w, 1, 0, 1, 1, w^2, 1, w^2, 0, 0, 1, 0, w, w, w^2, 1, w^2, w^2, 1, 0, w^2, 0 ] [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, w, w^2, w, w, 1, 0, w^2, w, 0, 1, 1, w, 1, w, w^2, w, w^2, w^2, w^2, w, w, w^2, w, 1, w^2, w, w, w, w^2, w, 0, w, 1, w^2, w^2, w, w, w, 1, 1, 1, w, 1, 1, w, w^2, 1, w, w^2, 1, 0, 1, w^2, w^2, w, w, w, w^2, w^2, w, w^2, 0, w^2, w^2, 1, w^2, w, 1, w, 1, w^2, 0, w, w^2, 1, w, 0, 0, 0, 0, 0, 0, 0, 0, 0, w, w^2, 0, 0, w, 1, w^2, 0, w^2, w^2, 0, w^2, w, w, 1, w, w^2, 1, w^2, w^2, 0, 0, 0, w, 0, w, 1, w, 1, 1, 1, 0, w, 1, w^2, 1, 1, 0, 0, 0, w^2, w^2, w^2, 0, w^2, 0, w, 1, 1, 1, w^2, 1, 0, 0, 1, w^2, w ] [ 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, w, 0, 1, 0, 0, 0, 1, 0, w, 1, 0, w^2, w^2, w, w, 0, w^2, w^2, 1, w, w, w, 1, w^2, w^2, w^2, 1, w^2, 0, 0, w^2, 1, 1, 1, w, w^2, w, 0, w, 1, 0, 1, w, w^2, 0, w, w^2, w, 1, 1, 0, 1, w^2, 1, 0, 1, 1, 1, w, 0, w^2, 1, w, 0, 0, w^2, w, w^2, w, w^2, w^2, w^2, w^2, w, w, w, w^2, w, w, w^2, w^2, w, w^2, w, w^2, 0, w^2, 1, 0, 1, 1, 0, 0, 0, 0, w^2, 1, w, w^2, 0, 1, 1, w^2, 1, w, w^2, 0, w, 1, 0, w, w^2, 0, 1, 0, 1, w, w^2, w^2, 0, 0, 1, w, w^2, w^2, 1, 1, 1, 0, w^2, 1, 1, 1, 1, 0, 0 ] [ 0, 0, 0, 1, 0, w, w^2, w^2, 1, w, w^2, w, w, w, 1, 1, w, w^2, w^2, w^2, w, w, w^2, w, 1, w^2, w^2, w, 1, 1, w, 0, 0, 0, 1, 0, 0, 0, w, 1, 0, 1, 1, 1, w, w^2, w, w, w, w^2, w^2, w^2, w, w, 1, w, w, w^2, w^2, w^2, w, 0, w^2, 1, 1, 1, 0, 0, 0, w, 1, 0, 1, 1, w, w^2, 1, w, w, w^2, w^2, 1, 1, w, w, w^2, w, w^2, 1, 1, w, w^2, 0, 1, 0, w, w^2, 1, w^2, w, w^2, 1, 1, 0, 0, w, w, 1, w, w^2, 0, w, w, w^2, 1, 1, w, 0, w, 1, 0, 0, 1, 0, w, 1, 0, 0, 0, w, w, 1, w^2, 0, 1, 1, w, w^2, w^2, 0, w, 1, 0, 1, 1, 1, 0, 1, 1, 1, w^2, w ] [ 0, 0, 0, 0, 1, w^2, w, w^2, 0, w, w^2, 1, w, w^2, w, w, w^2, w, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, w^2, w^2, 0, w, w^2, w^2, 0, 0, w, 1, w, 0, 1, w, 1, w, 0, 0, 0, 1, 1, 0, w, w, w^2, 1, 1, 0, w^2, w, w^2, 0, w^2, w, 1, w, w, 0, w, w, 0, 1, w^2, w^2, 1, w^2, w, w, 0, w, 0, w^2, w^2, 1, w, w^2, 0, 1, 0, 1, w, w, 1, 0, w^2, w^2, w, 1, w^2, w^2, w, w^2, w, w, 1, w^2, w^2, 0, w, 1, w^2, w, w^2, 1, w^2, 0, w^2, 1, 1, 1, w, w^2, 1, 1, w, 1, 0, w, 0, w^2, 1, 1, w, 0, w, w, w^2, 1, w^2, 1, w^2, 1, w^2, w^2, w, w^2, w^2, 0, w, w, 1, 1, 1, w^2 ] where w:=Root(x^2 + x + 1)[1,1]; last modified: 2002-04-15
Lb(152,5) = 112 Bo1 Ub(152,5) = 112 follows by the Griesmer bound.
Notes
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