lower bound: | 55 |
upper bound: | 58 |
Construction of a linear code [93,8,55] over GF(3): [1]: [93, 8, 55] Linear Code over GF(3) code found by Tatsuya Maruta Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1 ] [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0 ] [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1 ] [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2 ] [ 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2 ] last modified: 2006-10-04
Lb(93,8) = 55 MST Ub(93,8) = 58 follows by a one-step Griesmer bound from: Ub(34,7) = 19 follows by a one-step Griesmer bound from: Ub(14,6) = 6 follows by a one-step Griesmer bound from: Ub(7,5) = 2 is found by considering shortening to: Ub(5,3) = 2 is found by construction B: [consider deleting the (at most) 3 coordinates of a word in the dual]
Notes
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