lower bound: | 117 |
upper bound: | 123 |
Construction of a linear code [195,10,117] over GF(3): [1]: [195, 10, 117] Quasicyclic of degree 15 Linear Code over GF(3) QuasiCyclicCode of length 195 with generating polynomials: 2*x^12 + x^11 + 2*x^10 + 2*x^9 + 2*x^8 + x^7 + 1, x^12 + x^11 + x^10 + x^8 + 2*x^7 + x^6 + 2*x^3 + x^2 + x + 2, x^12 + x^11 + x^10 + 2*x^9 + 2*x^8 + 2*x^7 + x^6 + 2*x^4 + x^3, x^12 + 2*x^11 + x^10 + x^9 + 2*x^7 + x^5 + x^4 + 2*x^3 + x^2 + x + 1, x^12 + 2*x^10 + x^9 + x^8 + x^6 + x^5 + x^3 + 2*x + 1, 2*x^12 + x^10 + 2*x^8 + 2*x^7 + 2*x^6 + x^5 + x^4 + x^3 + 2*x^2 + x + 2, 2*x^10 + 2*x^9 + 2*x^7 + x^6 + 2*x^2 + 2*x + 2, 2*x^10 + 2*x^9 + x^7 + 2*x^6 + 2*x^5 + 2*x^4 + x^3 + x^2 + 2*x + 1, 2*x^12 + x^11 + x^10 + 2*x^5 + x^4 + 2*x^3 + 2*x^2 + 2, 2*x^11 + 2*x^10 + x^9 + x^8 + 2*x^7 + x^6 + x^3 + 2*x^2 + 2*x, 2*x^11 + x^10 + x^9 + 2*x^6 + x^5 + x^4 + x^3 + 2*x + 1, x^12 + 2*x^10 + x^9 + x^8 + 2*x^4 + x^3 + x^2 + x + 2, x^12 + 2*x^11 + x^10 + x^8 + 2*x^6 + x^5 + 2*x^4 + x + 1, 2*x^12 + 2*x^11 + x^10 + 2*x^9 + x^7 + 2*x^6 + 2*x^4 + x^2 + 1, 2*x^12 + x^11 + x^10 + 2*x^8 + 2*x^7 + x^6 + 2*x^5 + 2*x^4 + 2*x^2 + x + 1 last modified: 2008-10-06
Lb(195,10) = 115 is found by shortening of: Lb(196,11) = 115 MSY Ub(195,10) = 123 is found by considering shortening to: Ub(194,9) = 123 Gur
MSY: T. Maruta, M. Shinohara, F. Yamane, K. Tsuji, E. Takata, H. Miki & R. Fujiwara, New linear codes from cyclic or generalized cyclic codes by puncturing, to appear in Proc. 10th International Workshop on Algebraic and Combinatorial Coding Theory(ACCT-10) in Zvenigorod, Russia, 2006.
Notes
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