lower bound: | 111 |
upper bound: | 115 |
Construction of a linear code [183,9,111] over GF(3): [1]: [182, 9, 111] Linear Code over GF(3) Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1 ] [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2 ] [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1 ] [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1 ] [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2 ] [2]: [183, 9, 111] Linear Code over GF(3) ExtendCode [1] by 1 last modified: 2005-04-15
Lb(183,9) = 110 MST Ub(183,9) = 115 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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