lower bound: | 104 |
upper bound: | 104 |
Construction of a linear code [159,6,104] over GF(3): [1]: [160, 6, 105] Linear Code over GF(3) QuasiTwistedCyclicCode of length 160 and constant 2 with generators: (1 2 1 2 0 1 0 0 0 0), (1 1 0 2 2 1 0 2 1 0), (2 2 1 1 2 0 2 1 1 0), (2 0 1 1 1 1 0 0 0 0), (1 2 2 1 1 0 0 1 0 0), (1 1 2 1 2 2 2 2 1 0), (2 2 2 1 1 2 1 0 1 0), (1 1 1 1 2 2 0 1 0 0), (1 2 1 2 1 2 0 2 1 0), (1 2 1 0 1 1 2 1 0 0), (1 1 0 1 1 1 1 1 1 0), (2 0 1 2 2 1 2 1 0 0), (2 2 2 1 0 1 1 1 0 0), (1 2 2 0 0 0 1 0 0 0), (2 1 0 2 0 1 1 0 0 0), (1 0 0 1 0 1 0 1 0 0) [2]: [159, 6, 104] Linear Code over GF(3) Puncturing of [1] at { 160 } last modified: 2001-12-17
Lb(159,6) = 104 is found by truncation of: Lb(160,6) = 105 Gu Ub(159,6) = 104 is found by considering truncation to: Ub(157,6) = 102 Ma
Ma: T. Maruta, On the nonexistence of linear codes attaining the Griesmer bound, Geom. Dedicata 60 (1996) 1-7. T. Maruta, On the nonexistence of linear codes of dimension four attaining the Griesmer bound, pp. 117-120 in: Optimal codes and related topics, Proc. Workshop Sozopol, Bulgaria, 1995. T. Maruta, The nonexistence of [116,5,85]_4 codes and [187,5,139]_4 codes, Proc. 2nd International Workshop on Optimal Codes and Related Topics in Sozopol (1998), pp. 168-174. T. Maruta & M. Fukui, On the nonexistence of some linear codes of dimension 4 over GF(5), preprint, 1995. T. Maruta, M. Takenaka, M. Shinohara, K. Masuda & S. Kawashima, Constructing new linear codes over small fields, preprint 2004.
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