lower bound: | 95 |
upper bound: | 101 |
Construction of a linear code [224,18,95] over GF(2): [1]: [225, 18, 96] Quasicyclic of degree 5 Linear Code over GF(2) QuasiCyclicCode of length 225 with generating polynomials: x^43 + x^42 + x^41 + x^40 + x^39 + x^36 + x^33 + x^29 + x^24 + x^23 + x^22 + x^20 + x^19 + x^13, x^44 + x^43 + x^41 + x^39 + x^38 + x^35 + x^33 + x^31 + x^30 + x^27 + x^23 + x^22 + x^20 + x^17 + x^15 + x^13 + x^9 + x^8 + x^7 + x^4, x^44 + x^40 + x^34 + x^33 + x^28 + x^27 + x^26 + x^25 + x^24 + x^23 + x^17 + x^13 + x^10 + x^7 + x^4 + x^2 + x + 1, x^44 + x^42 + x^41 + x^40 + x^39 + x^38 + x^36 + x^35 + x^32 + x^30 + x^29 + x^28 + x^27 + x^23 + x^20 + x^19 + x^18 + x^17 + x^12 + x^11 + x^10 + x^9 + x^4 + x^2 + x + 1, x^44 + x^42 + x^40 + x^38 + x^37 + x^35 + x^33 + x^31 + x^30 + x^28 + x^27 + x^26 + x^25 + x^24 + x^23 + x^22 + x^21 + x^20 + x^17 + x^12 + x^11 + x^8 + x^6 + x^3 + x + 1 [2]: [224, 18, 95] Linear Code over GF(2) Puncturing of [1] at { 225 } last modified: 2019-04-09
Lb(224,18) = 91 is found by shortening of: Lb(226,20) = 91 is found by truncation of: Lb(227,20) = 92 MSY Ub(224,18) = 102 is found by considering shortening to: Ub(219,13) = 102 otherwise adding a parity check bit would contradict: Ub(220,13) = 103 BK
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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