lower bound: | 144 |
upper bound: | 152 |
Construction of a linear code [212,9,144] 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]: [212, 9, 144] Linear Code over GF(2^2) ExtendCode [1] by 2 last modified: 2008-05-17
Lb(212,9) = 144 is found by lengthening of: Lb(210,9) = 144 DaH Ub(212,9) = 152 is found by considering shortening to: Ub(211,8) = 152 is found by considering truncation to: Ub(209,8) = 150 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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