lower bound: | 57 |
upper bound: | 62 |
Construction of a linear code [102,10,57] over GF(3): [1]: [102, 10, 57] Linear Code over GF(3) Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1 ] [ 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2 ] [ 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1 ] [ 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2 ] [ 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1 ] [ 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0 ] last modified: 2005-04-18
Lb(102,10) = 56 is found by taking a subcode of: Lb(102,11) = 56 MST Ub(102,10) = 62 is found by considering shortening to: Ub(100,8) = 62 BKn
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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