lower bound: | 90 |
upper bound: | 94 |
Construction of a linear code [150,9,90] over GF(3): [1]: [150, 9, 90] Linear Code over GF(3) Code found by Axel Kohnert Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2 ] [ 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0 ] [ 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1 ] [ 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0 ] [ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1 ] last modified: 2008-09-01
Lb(150,9) = 88 is found by truncation of: Lb(152,9) = 90 MST Ub(150,9) = 94 Da2
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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