lower bound: | 30 |
upper bound: | 30 |
Construction of a linear code [51,7,30] over GF(3): [1]: [51, 7, 30] Linear Code over GF(3) Code found by Axel Kohnert and Johannes Zwanzger Construction from a stored generator matrix: [ 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0 ] [ 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2 ] [ 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0 ] [ 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1 ] last modified: 2007-07-09
Lb(51,7) = 29 is found by truncation of: Lb(52,7) = 30 CG Ub(51,7) = 30 follows by a one-step Griesmer bound from: Ub(20,6) = 10 is found by considering truncation to: Ub(19,6) = 9 is found by construction B: [consider deleting the (at most) 4 coordinates of a word in the dual]
Notes
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