lower bound: | 138 |
upper bound: | 146 |
Construction of a linear code [204,9,138] over GF(4): [1]: [210, 9, 144] Linear Code over GF(2^2) QuasiTwistedCyclicCode of length 210 and constant w with generators: (0 0 0 1 0 0 0 0 0 w^2 w^2 w^2 0 w 1 0 1 w w^2 1 w^2 1 w^2 w w^2 w^2 w^2 w w^2 0 w^2 w 0 w^2 1 w w^2 w w w^2 1 w^2 0 w w^2 w 0 w^2 0 1 0 1 w^2 w^2 0 w 1 1 1 0 w^2 0 0 1 w 0 w^2 w^2 1 w 0 0 w^2 w^2 1 w^2 w 0 0 0 0 w 0 0 w 0 1 w^2 1 w^2 w^2 w 0 0 w^2 0 1 w w^2 w w^2 w 1 1 w^2), (w w 1 w^2 w w^2 1 w^2 w 1 w^2 0 1 0 w^2 w w 0 1 0 1 1 0 1 w^2 0 0 w^2 w^2 w 0 w^2 0 0 1 0 0 w w w^2 0 w w 1 1 w^2 w^2 w^2 w w^2 1 0 0 0 0 w w 1 w 0 1 w^2 1 w 1 w^2 w 0 1 w^2 w w^2 1 0 0 1 0 w 1 1 w 1 w 0 w w w 1 w^2 0 w^2 1 1 w^2 w^2 0 w^2 w^2 w^2 w w^2 w^2 1 w w^2) [2]: [204, 9, 138] Linear Code over GF(2^2) Puncturing of [1] at { 205 .. 210 } last modified: 2008-05-17
Lb(204,9) = 138 is found by truncation of: Lb(210,9) = 144 DaH Ub(204,9) = 146 is found by considering shortening to: Ub(203,8) = 146 is found by considering truncation to: Ub(202,8) = 145 DM4
DaH: Rumen Daskalov & Plamen Hristov, New One-Generator Quasi-Cyclic Codes over GF(7), preprint, Oct 2001. R. Daskalov & P Hristov, New One-Generator Quasi-Twisted Codes over GF(5), (preprint) Oct. 2001. R. Daskalov & P Hristov, New Quasi-Twisted Degenerate Ternary Linear Codes, preprint, Nov 2001. Email, 2002-2003.
Notes
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