lower bound: | 90 |
upper bound: | 97 |
Construction of a linear code [156,11,90] over GF(3): [1]: [156, 11, 90] 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, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2 ] [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1 ] [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2 ] [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1 ] [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2 ] last modified: 2009-08-13
Lb(156,11) = 87 is found by taking a subcode of: Lb(156,12) = 87 DaH Ub(156,11) = 97 is found by considering shortening to: Ub(154,9) = 97 is found by considering truncation to: Ub(153,9) = 96 Gur
Gur: Sugi Guritman, Restrictions on the weight distribution of linear codes, Thesis, Techn. Univ. Delft, 2000.
Notes
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