lower bound: | 102 |
upper bound: | 102 |
Construction of a linear code [156,6,102] over GF(3): [1]: [156, 6, 102] Linear Code over GF(3) Construction from a stored generator matrix: [ 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2 ] [ 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2 ] [ 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 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 ] [ 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 ] last modified: 2003-09-25
Lb(156,6) = 102 Bo3 Ub(156,6) = 102 follows by the Griesmer bound.
Notes
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