lower bound: | 132 |
upper bound: | 132 |
Construction of a linear code [201,6,132] over GF(3): [1]: [201, 6, 132] Linear Code over GF(3) Construction from a stored generator matrix: [ 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0 ] [ 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0 ] [ 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] last modified: 2007-06-18
Lb(201,6) = 131 is found by truncation of: Lb(202,6) = 132 BKW Ub(201,6) = 132 follows by a one-step Griesmer bound from: Ub(68,5) = 44 follows by a one-step Griesmer bound from: Ub(23,4) = 14 is found by considering truncation to: Ub(21,4) = 12 HN
HN: R. Hill & D.E. Newton, Optimal ternary linear codes, Des. Codes Cryptogr. 2 (1992), 137-157.
Notes
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