lower bound: | 111 |
upper bound: | 117 |
Construction of a linear code [186,10,111] over GF(3): [1]: [186, 10, 111] Linear Code over GF(3) Code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0 ] [ 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2 ] [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2 ] [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0 ] [ 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1 ] last modified: 2009-08-13
Lb(186,10) = 109 is found by truncation of: Lb(188,10) = 111 BZ Ub(186,10) = 117 is found by considering shortening to: Ub(185,9) = 117 is found by considering truncation to: Ub(183,9) = 115 Gur
Gur: Sugi Guritman, Restrictions on the weight distribution of linear codes, Thesis, Techn. Univ. Delft, 2000.
Notes
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