lower bound: | 18 |
upper bound: | 18 |
Construction of a linear code [36,10,18] over GF(3): [1]: [36, 10, 18] Linear Code over GF(3) Code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1 ] [ 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1 ] [ 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2 ] [ 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1 ] [ 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2 ] [ 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0 ] [ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2 ] last modified: 2009-05-04
Lb(36,10) = 16 is found by shortening of: Lb(38,12) = 16 is found by truncation of: Lb(40,12) = 18 KP Ub(36,10) = 18 follows by a one-step Griesmer bound from: Ub(17,9) = 6 follows by a one-step Griesmer bound from: Ub(10,8) = 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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