lower bound: | 20 |
upper bound: | 20 |
Construction of a linear code [36,7,20] over GF(3): [1]: [37, 7, 21] Linear Code over GF(3) Code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1 ] [ 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2 ] [ 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1 ] [ 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0 ] [ 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1 ] [ 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2 ] [2]: [36, 7, 20] Linear Code over GF(3) Puncturing of [1] at { 37 } last modified: 2008-12-29
Lb(36,7) = 19 is found by truncation of: Lb(37,7) = 20 Bo1 Ub(36,7) = 20 is found by considering shortening to: Ub(35,6) = 20 Bou
Bou: I. Boukliev, Some new bounds on minimum length for quaternary codes of dimension five, preprint, July 1994.
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