lower bound: | 45 |
upper bound: | 45 |
Construction of a linear code [72,6,45] over GF(3): [1]: [72, 6, 45] Linear Code over GF(3) Construction from a stored generator matrix: [ 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1 ] [ 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2 ] [ 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2 ] [ 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0 ] last modified: 2003-10-10
Lb(72,6) = 45 Gu1 Ub(72,6) = 45 follows by a one-step Griesmer bound from: Ub(26,5) = 15 is found by construction B: [consider deleting the (at most) 3 coordinates of a word in the dual]
Notes
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