lower bound: | 96 |
upper bound: | 99 |
Construction of a linear code [140,8,96] over GF(4): [1]: [140, 8, 96] Quasicyclic of degree 4 Linear Code over GF(2^2) QuasiCyclicCode of length 140 with generating polynomials: x^34 + w*x^33 + w^2*x^32 + w^2*x^31 + w*x^30 + x^27 + w*x^26 + w*x^24 + w^2*x^23 + w*x^22 + x^21 + w*x^20 + w*x^19 + w^2*x^18 + w^2*x^17 + w*x^16 + w*x^15 + x^14 + w*x^13 + w*x^12 + w*x^10 + w^2*x^9 + x^8 + x, x^34 + x^33 + w^2*x^31 + x^30 + w*x^29 + x^28 + w^2*x^27 + w^2*x^26 + x^25 + w*x^23 + w^2*x^22 + x^20 + w*x^19 + w*x^17 + w*x^16 + w*x^15 + w^2*x^14 + w^2*x^13 + x^12 + x^11 + w*x^10 + w^2*x^9 + w*x^8 + x^5 + w^2*x^3 + w*x^2 + x + w, w^2*x^34 + w*x^33 + w*x^31 + x^30 + w*x^29 + x^28 + x^27 + w^2*x^26 + w^2*x^25 + x^24 + w^2*x^22 + x^20 + x^17 + w*x^16 + w^2*x^15 + w*x^14 + w*x^13 + w*x^12 + w^2*x^10 + w^2*x^8 + w*x^7 + x^6 + w^2*x^5 + w^2*x^4 + x^3 + w^2*x^2 + x + 1, x^33 + w*x^31 + x^30 + x^29 + w^2*x^26 + w*x^25 + w^2*x^23 + x^22 + w^2*x^20 + w^2*x^17 + x^16 + w*x^13 + w*x^12 + w^2*x^11 + w*x^10 + x^9 + w*x^8 + x^7 + x^6 + x^4 + w^2*x^3 + w*x^2 + w*x + 1 last modified: 2010-11-14
Lb(140,8) = 92 is found by shortening of: Lb(141,9) = 92 is found by truncation of: Lb(142,9) = 93 MSY Ub(140,8) = 99 Da1
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
|