lower bound: | 28 |
upper bound: | 30 |
Construction of a linear code [51,8,28] over GF(3): [1]: [51, 8, 28] Linear Code over GF(3) Code found by Axel Kohnert and Johannes Zwanzger Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0 ] [ 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1 ] [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0 ] [ 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0 ] [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2 ] last modified: 2008-06-13
Lb(51,8) = 27 is found by taking a subcode of: Lb(51,9) = 27 is found by shortening of: Lb(52,10) = 27 DaH Ub(51,8) = 30 follows by the Griesmer bound.
Notes
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