lower bound: | 97 |
upper bound: | 98 |
Construction of a linear code [125,5,97] over GF(5): [1]: [128, 5, 100] Linear Code over GF(5) Code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 4, 0, 1, 1, 2, 0, 2, 2, 4, 3, 2, 3, 3, 1, 2, 1, 1, 1, 0, 1, 4, 1, 4, 3, 3, 2, 4, 3, 0, 4, 4, 4, 2, 2, 0, 0, 3, 4, 3, 2, 1, 2, 4, 0, 1, 0, 4, 2, 4, 3, 3, 4, 2, 1, 4, 0, 0, 4, 1, 4, 1, 1, 4, 0, 2, 1, 3, 3, 2, 3, 2, 1, 1, 4, 2, 3, 1, 3, 2, 0, 0, 1, 2, 3, 0, 0, 2, 2, 3, 1, 4, 3, 1, 0, 1, 4, 2, 3, 0, 1, 0, 4, 2, 3, 3, 4, 1, 2, 4, 3, 1, 2, 0, 1, 0, 4, 2, 3, 0, 4, 0, 0 ] [ 0, 1, 0, 0, 0, 4, 3, 1, 1, 1, 1, 2, 4, 1, 4, 0, 0, 1, 0, 0, 2, 3, 3, 0, 2, 1, 1, 4, 2, 0, 4, 3, 0, 1, 4, 2, 3, 0, 2, 4, 4, 3, 2, 4, 2, 3, 2, 2, 0, 0, 4, 1, 0, 4, 3, 0, 4, 4, 4, 0, 4, 1, 0, 3, 3, 2, 3, 1, 1, 2, 0, 4, 0, 2, 2, 0, 4, 0, 2, 1, 1, 1, 0, 4, 1, 0, 1, 1, 3, 2, 2, 4, 0, 3, 3, 2, 3, 3, 2, 0, 1, 2, 3, 0, 2, 4, 3, 1, 1, 2, 4, 1, 2, 4, 1, 4, 2, 4, 1, 3, 2, 0, 1, 2, 4, 2, 4, 4 ] [ 0, 0, 1, 0, 0, 1, 1, 3, 2, 4, 2, 1, 1, 4, 2, 4, 3, 3, 4, 1, 0, 2, 0, 3, 1, 4, 0, 2, 4, 0, 1, 4, 3, 1, 1, 0, 4, 2, 1, 2, 3, 4, 1, 1, 0, 3, 1, 4, 3, 2, 3, 4, 0, 4, 2, 3, 0, 2, 2, 2, 4, 1, 1, 3, 1, 3, 2, 1, 2, 3, 4, 1, 1, 2, 1, 2, 4, 0, 3, 4, 0, 2, 4, 4, 4, 2, 0, 3, 1, 1, 0, 3, 1, 2, 0, 2, 1, 0, 0, 1, 4, 4, 2, 2, 4, 4, 3, 3, 1, 2, 2, 2, 0, 0, 0, 0, 3, 3, 3, 3, 2, 2, 3, 4, 3, 4, 3, 3 ] [ 0, 0, 0, 1, 0, 0, 4, 0, 2, 0, 3, 1, 3, 3, 3, 4, 2, 2, 2, 4, 4, 0, 4, 4, 2, 1, 1, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 0, 2, 0, 2, 4, 1, 4, 1, 1, 3, 0, 4, 2, 3, 4, 3, 0, 4, 0, 3, 2, 4, 3, 0, 4, 4, 2, 1, 3, 0, 2, 4, 1, 4, 1, 2, 4, 3, 0, 3, 4, 4, 3, 0, 1, 3, 0, 2, 3, 4, 1, 1, 4, 2, 4, 2, 2, 0, 2, 0, 4, 2, 3, 2, 4, 0, 4, 3, 2, 3, 4, 1, 0, 1, 0, 3, 2, 4, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0 ] [ 0, 0, 0, 0, 1, 1, 3, 2, 1, 0, 4, 1, 3, 3, 2, 3, 1, 0, 0, 0, 4, 0, 4, 4, 1, 0, 4, 2, 4, 3, 3, 4, 1, 2, 0, 3, 3, 4, 1, 4, 1, 0, 2, 2, 3, 4, 0, 0, 4, 1, 0, 1, 2, 3, 2, 3, 4, 3, 1, 0, 2, 0, 1, 3, 1, 3, 1, 2, 4, 0, 3, 0, 3, 3, 0, 4, 0, 2, 2, 2, 4, 2, 4, 3, 4, 1, 1, 1, 1, 3, 1, 0, 3, 4, 3, 0, 2, 4, 2, 1, 4, 1, 1, 0, 1, 0, 1, 2, 3, 2, 4, 3, 1, 0, 1, 2, 4, 3, 1, 0, 1, 2, 0, 4, 4, 2, 4, 4 ] [2]: [125, 5, 97] Linear Code over GF(5) Puncturing of [1] at { 126 .. 128 } last modified: 2008-10-06
Lb(125,5) = 96 is found by truncation of: Lb(129,5) = 100 Koh Ub(125,5) = 98 is found by considering truncation to: Ub(124,5) = 97 DHM
Koh: Axel Kohnert, email, 2006.
Notes
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