lower bound: | 127 |
upper bound: | 130 |
Construction of a linear code [180,7,127] over GF(4): [1]: [180, 7, 127] Quasicyclic of degree 12 Linear Code over GF(2^2) QuasiCyclicCode of length 180 with generating polynomials: w*x^13 + w*x^10 + x^9 + w*x^7 + x^6 + w^2*x^5 + 1, w^2*x^14 + x^13 + x^12 + w^2*x^10 + w*x^9 + x^8 + w^2*x^6 + x^5 + x^4 + w*x^3 + w*x^2, w^2*x^13 + w^2*x^11 + w*x^10 + w*x^9 + x^8 + w*x^6 + x^4 + w^2*x^3 + x^2 + w*x + w, x^13 + w^2*x^12 + w*x^11 + w^2*x^10 + x^7 + w*x^6 + w*x^5 + w^2*x^4 + w*x^3 + w^2, x^14 + w*x^12 + x^11 + w*x^10 + w^2*x^9 + x^8 + w^2*x^7 + w*x^6 + x^3 + w^2*x^2 + 1, w^2*x^14 + w^2*x^13 + x^12 + w*x^10 + w*x^9 + w*x^7 + x^5 + x^4 + x^3 + w^2*x + 1, w^2*x^14 + x^13 + w^2*x^12 + w^2*x^10 + w^2*x^9 + x^8 + w*x^7 + w*x^6 + x^5 + w^2*x^4 + x^3 + x + w, x^14 + x^12 + x^11 + w^2*x^10 + w*x^9 + x^8 + w*x^7 + w^2*x^6 + w*x^5 + w*x^4 + x^3 + w*x^2 + w^2, w*x^14 + w*x^13 + x^12 + x^11 + w^2*x^10 + w*x^8 + w*x^7 + x^6 + x^5 + w^2*x^4 + x^3 + 1, x^13 + w*x^12 + w*x^11 + x^10 + w^2*x^9 + w*x^8 + x^7 + w*x^5 + x^4 + w*x^3 + w^2*x^2 + w^2*x + 1, w^2*x^13 + w^2*x^12 + w*x^11 + w*x^10 + x^8 + w^2*x^7 + x^6 + w*x^5 + w^2*x^4 + x^3 + w*x^2 + w^2*x + w, w^2*x^14 + w*x^13 + w^2*x^12 + w^2*x^11 + w*x^10 + x^9 + w^2*x^8 + w*x^6 + x^5 + w^2*x^4 + x^3 + w*x^2 + w^2*x + 1 last modified: 2010-02-16
Lb(180,7) = 125 is found by truncation of: Lb(183,7) = 128 GW2 Ub(180,7) = 130 DM3
GW2: M. Grassl & G. White, New Codes from Chains of Quasi-cyclic Codes, ISIT 2005.
Notes
|