lower bound: | 36 |
upper bound: | 39 |
Construction of a linear code [69,11,36] over GF(3): [1]: [69, 11, 36] Quasicyclic of degree 3 Linear Code over GF(3) Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0 ] [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0 ] [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1 ] [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0 ] [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0 ] [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2 ] [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1 ] [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1 ] last modified: 2003-09-25
Lb(69,11) = 36 Bou Ub(69,11) = 39 follows by a one-step Griesmer bound from: Ub(29,10) = 13 follows by a one-step Griesmer bound from: Ub(15,9) = 4 vE2
vE2: M. van Eupen, Four nonexistence results for ternary linear codes, IEEE Trans. Inform. Theory 41 (1995) 800-805.
Notes
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