lower bound: | 84 |
upper bound: | 91 |
Construction of a linear code [147,11,84] over GF(3): [1]: [147, 11, 84] Linear Code over GF(3) Code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1 ] [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2 ] [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2 ] [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0 ] [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0 ] last modified: 2009-08-13
Lb(147,11) = 82 is found by taking a subcode of: Lb(147,12) = 82 is found by lengthening of: Lb(146,12) = 82 ARS Ub(147,11) = 91 is found by considering shortening to: Ub(145,9) = 91 is found by considering truncation to: Ub(144,9) = 90 Gur
Gur: Sugi Guritman, Restrictions on the weight distribution of linear codes, Thesis, Techn. Univ. Delft, 2000.
Notes
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