lower bound: | 48 |
upper bound: | 48 |
Construction of a linear code [75,5,48] over GF(3): [1]: [76, 6, 48] Linear Code over GF(3) Construction from a stored generator matrix: [ 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2 ] [ 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1 ] [ 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1 ] [ 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2 ] [ 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, 0, 0, 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, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ] [ 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, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] [2]: [75, 5, 48] Linear Code over GF(3) Shortening of [1] at { 76 } last modified: 2001-12-17
Lb(75,5) = 48 is found by shortening of: Lb(76,6) = 48 Bo3 Ub(75,5) = 48 HN
HN: R. Hill & D.E. Newton, Optimal ternary linear codes, Des. Codes Cryptogr. 2 (1992), 137-157.
Notes
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