lower bound: | 81 |
upper bound: | 84 |
Construction of a linear code [135,9,81] over GF(3): [1]: [135, 9, 81] Linear Code over GF(3) Code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0 ] [ 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2 ] [ 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1 ] [ 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1 ] [ 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 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, 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, 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, 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, 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 ] [ 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, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2 ] last modified: 2008-12-05
Lb(135,9) = 79 is found by taking a subcode of: Lb(135,10) = 79 MST Ub(135,9) = 84 Gur
MST: T. Maruta, M. Shinohara & M. Takenaka, Constructing linear codes from some orbits of projectivities, to appear in Discr. Math.
Notes
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