lower bound: | 69 |
upper bound: | 72 |
Construction of a linear code [114,8,69] over GF(3): [1]: [114, 8, 69] Linear Code over GF(3) Construction from a stored generator matrix: [ 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1 ] [ 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0 ] [ 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2 ] [ 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2 ] [ 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1 ] [ 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0 ] [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0 ] last modified: 2005-04-15
Lb(114,8) = 68 is found by truncation of: Lb(115,8) = 69 GW2 Ub(114,8) = 72 follows by a one-step Griesmer bound from: Ub(41,7) = 24 follows by a one-step Griesmer bound from: Ub(16,6) = 7 vE2
vE2: M. van Eupen, Four nonexistence results for ternary linear codes, IEEE Trans. Inform. Theory 41 (1995) 800-805.
Notes
|