lower bound: | 22 |
upper bound: | 23 |
Construction of a linear code [36,7,22] over GF(4): [1]: [36, 7, 22] Linear Code over GF(2^2) Code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, w, 0, 0, w^2, 1, 0, 0, w^2, 1, w^2, w, w^2, 0, w^2, w, w, w, w, w^2, w, 0, 0, 1, 1, 0, 1, 0, w^2, 0, w, w ] [ 0, 1, 0, 0, 0, 1, 0, 0, w^2, 0, w, w, w^2, 1, w, w^2, w^2, 0, w^2, w, w, 0, w^2, 0, 0, 1, 0, w, w, w, w, w, 0, w^2, 0, 1 ] [ 0, 0, 1, 0, 0, w^2, 0, 0, w, 0, w, w^2, 0, 1, w^2, w, 0, 1, 1, 1, w, w, 1, w^2, 0, w, 1, 0, w^2, 0, 1, w, 0, 0, 1, w^2 ] [ 0, 0, 0, 1, 0, w, 0, 0, 1, w^2, w^2, 0, 0, w^2, 0, w^2, w^2, w^2, 1, 1, 0, w, w, w, 1, w, 0, 1, w^2, w, 0, 1, 1, 0, 0, w ] [ 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, w^2, w, w^2, w^2, 0, w, w^2, 0, w, 0, 1, w^2, w^2, w^2, 1, 1, 1, w, w^2, 1, w, 1, w^2, w, w^2 ] [ 0, 0, 0, 0, 0, 0, 1, 0, w, w^2, 0, w, w^2, 1, 1, 1, w, w^2, w^2, 0, w, 0, w^2, w^2, 0, w, w, 0, 1, 1, 1, w, 1, w, w^2, w ] [ 0, 0, 0, 0, 0, 0, 0, 1, w^2, w, 1, w^2, w, 0, 0, 0, w^2, w, w, 1, w^2, 1, w, w, 1, w^2, w^2, 1, 0, 0, 1, w, 1, w, w^2, w ] where w:=Root(x^2 + x + 1)[1,1]; last modified: 2009-03-02
Lb(36,7) = 21 is found by truncation of: Lb(39,7) = 24 Gu Ub(36,7) = 23 is found by considering shortening to: Ub(33,4) = 23 is found by considering truncation to: Ub(32,4) = 22 GH
Gu: T. A. Gulliver, personal communications 1993-1998.
Notes
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