lower bound: | 135 |
upper bound: | 135 |
Construction of a linear code [207,6,135] over GF(3): [1]: [206, 6, 135] Linear Code over GF(3) Construction from a stored generator matrix: [ 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0 ] [ 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0 ] [ 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] [2]: [207, 6, 135] Linear Code over GF(3) PadCode [1] by 1 last modified: 2001-12-17
Lb(207,6) = 135 is found by lengthening of: Lb(206,6) = 135 Bo3 Ub(207,6) = 135 follows by a one-step Griesmer bound from: Ub(71,5) = 45 HW1
HW1: N. Hamada & Y. Watamori, The nonexistence of $[71,5,46;3]$ codes, J. Statist. Plann. Inf. 52 (1996) 379-394.
Notes
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