lower bound: | 69 |
upper bound: | 69 |
Construction of a linear code [108,7,69] over GF(3): [1]: [108, 7, 69] Linear Code over GF(3) Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1 ] [ 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0 ] [ 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1 ] [ 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1 ] [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1 ] last modified: 2003-10-02
Lb(108,7) = 69 EB1 Ub(108,7) = 69 follows by a one-step Griesmer bound from: Ub(38,6) = 22 is found by considering truncation to: Ub(37,6) = 21 Bou
EB1: Y. Edel & J. Bierbrauer, Some codes related to BCH codes of low dimension, preprint, 1995.
Notes
|