lower bound: | 78 |
upper bound: | 85 |
Construction of a linear code [138,11,78] over GF(3): [1]: [138, 11, 78] Quasicyclic of degree 6 Linear Code over GF(3) Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1 ] [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2 ] [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0 ] [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0 ] [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2 ] last modified: 2003-09-25
Lb(138,11) = 78 Bou Ub(138,11) = 85 is found by considering shortening to: Ub(136,9) = 85 is found by considering truncation to: Ub(135,9) = 84 Gur
Gur: Sugi Guritman, Restrictions on the weight distribution of linear codes, Thesis, Techn. Univ. Delft, 2000.
Notes
|