lower bound: | 50 |
upper bound: | 54 |
Construction of a linear code [75,8,50] over GF(5): [1]: [75, 8, 50] Linear Code over GF(5) code found by Tatsuya Maruta Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 0, 4, 1, 4, 2, 0, 0, 4, 0, 4, 4, 4, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 3, 4, 2, 1, 1, 1, 3, 0, 4, 3, 1, 0, 1, 1, 2, 3, 0, 2, 1, 3, 0, 1, 3, 3, 4, 0, 1, 2, 2, 4, 4, 1, 1, 1, 1, 4, 1, 3, 3, 1, 0, 4, 4, 4, 0, 3 ] [ 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 3, 0, 2, 0, 2, 4, 2, 1, 1, 0, 3, 3, 3, 2, 1, 2, 0, 3, 1, 4, 0, 0, 0, 4, 4, 0, 3, 2, 3, 1, 1, 3, 4, 2, 1, 3, 1, 0, 0, 3, 3, 0, 2, 0, 4, 3, 2, 3, 4, 1, 2, 4, 4, 4, 3, 3, 0, 2, 1, 1, 2, 1, 1, 4, 4 ] [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 3, 0, 2, 0, 2, 4, 2, 1, 1, 0, 3, 3, 3, 2, 1, 2, 0, 3, 1, 4, 0, 0, 0, 4, 4, 0, 3, 2, 3, 1, 1, 3, 4, 2, 1, 3, 1, 0, 0, 3, 3, 0, 2, 0, 4, 3, 2, 3, 4, 1, 2, 4, 4, 4, 1, 3, 0, 2, 1, 1, 2, 1, 1, 2 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 3, 2, 0, 1, 3, 0, 0, 0, 0, 2, 0, 0, 0, 4, 2, 3, 2, 2, 1, 4, 0, 4, 4, 3, 2, 2, 2, 0, 4, 3, 4, 4, 3, 3, 3, 2, 0, 2, 0, 0, 2, 0, 2, 4, 4, 3, 2, 2, 3, 2, 0, 1, 1, 3, 4, 1, 2, 4, 2, 4, 2, 2, 4, 4, 0, 1, 2 ] [ 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 4, 1, 1, 3, 2, 0, 2, 2, 4, 1, 1, 1, 0, 2, 4, 2, 2, 4, 4, 4, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 4, 1, 1, 4, 1, 0, 3, 3, 4, 2, 3, 1, 3, 1, 3, 0, 3, 4, 4, 2, 4, 4, 1, 2, 3, 1, 3, 1, 2, 2, 4, 1, 1, 0, 3 ] [ 0, 0, 0, 0, 0, 1, 0, 0, 4, 3, 0, 1, 1, 1, 2, 2, 4, 1, 1, 1, 3, 3, 3, 0, 4, 4, 2, 3, 4, 2, 3, 3, 1, 2, 1, 3, 1, 4, 4, 3, 2, 0, 2, 3, 2, 1, 2, 4, 1, 4, 3, 1, 4, 2, 1, 4, 2, 0, 3, 3, 3, 0, 0, 2, 1, 1, 4, 1, 2, 2, 1, 3, 0, 1, 3 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 4, 3, 0, 1, 1, 1, 2, 2, 4, 1, 1, 1, 3, 3, 3, 0, 4, 4, 2, 3, 4, 2, 3, 3, 1, 2, 1, 3, 1, 4, 4, 3, 2, 0, 2, 3, 2, 1, 2, 4, 1, 4, 3, 1, 4, 2, 1, 4, 2, 0, 3, 3, 3, 0, 0, 2, 4, 1, 4, 1, 2, 2, 1, 3, 0, 4 ] [ 0, 0, 0, 0, 0, 0, 0, 1, 4, 1, 3, 0, 0, 1, 0, 1, 1, 1, 3, 3, 3, 3, 0, 3, 0, 0, 4, 0, 2, 1, 3, 4, 4, 4, 2, 0, 1, 2, 4, 0, 4, 4, 3, 2, 0, 3, 4, 2, 0, 4, 2, 2, 1, 0, 4, 3, 3, 1, 1, 4, 4, 4, 4, 1, 4, 2, 2, 4, 0, 1, 1, 1, 0, 3, 0 ] last modified: 2006-10-04
Lb(75,8) = 50 MST Ub(75,8) = 54 Da7
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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