lower bound: | 132 |
upper bound: | 136 |
Construction of a linear code [188,7,132] over GF(4): [1]: [189, 7, 133] Quasicyclic of degree 3 Linear Code over GF(2^2) QuasiCyclicCode of length 189 with generating polynomials: x^62 + x^61 + w*x^60 + w*x^59 + w*x^57 + w*x^56 + w*x^55 + x^53 + w*x^52 + w^2*x^51 + w*x^49 + w*x^46 + x^45 + w^2*x^44 + w^2*x^43 + w*x^42 + w*x^41 + w*x^39 + w*x^38 + w^2*x^37 + x^36 + w^2*x^34 + w*x^32 + w*x^31 + w*x^30 + w^2*x^29 + w^2*x^28 + w^2*x^27 + w^2*x^26 + w^2*x^25 + w^2*x^24 + x^23 + x^22 + w*x^21 + w^2*x^19 + w*x^18 + w*x^17 + x^16 + w^2*x^15 + x^14 + w*x^10 + x^9 + x^8 + x^6 + x^5 + w*x^3 + w, w^2*x^62 + w*x^61 + w^2*x^60 + x^59 + x^58 + x^57 + x^54 + x^52 + x^50 + w^2*x^49 + w*x^44 + x^43 + w^2*x^42 + w*x^40 + w^2*x^39 + w^2*x^38 + w^2*x^37 + w^2*x^35 + w^2*x^33 + w*x^31 + w*x^30 + w*x^29 + x^28 + w*x^27 + w^2*x^26 + x^25 + x^24 + w^2*x^23 + x^22 + w*x^21 + w*x^20 + w*x^19 + w^2*x^18 + w*x^17 + w*x^16 + w^2*x^15 + x^14 + w*x^12 + w^2*x^9 + w^2*x^6 + x^5 + w*x^4 + w*x^3 + x + 1, w^2*x^61 + x^59 + w*x^58 + w^2*x^55 + w*x^54 + w*x^53 + w^2*x^50 + x^48 + w*x^47 + w^2*x^45 + x^44 + w*x^43 + x^42 + w^2*x^41 + w^2*x^39 + x^38 + x^37 + x^36 + w^2*x^34 + x^33 + x^32 + w*x^31 + x^30 + w^2*x^29 + w^2*x^28 + x^27 + w^2*x^26 + w^2*x^25 + w*x^24 + w*x^23 + x^22 + x^20 + w*x^19 + x^18 + x^17 + w^2*x^16 + w*x^15 + w^2*x^13 + w^2*x^12 + w^2*x^11 + w^2*x^10 + w*x^9 + w^2*x^8 + x^7 + x^6 + x^4 + x^3 + w^2*x + w^2 [2]: [188, 7, 132] Linear Code over GF(2^2) Puncturing of [1] at { 189 } last modified: 2002-06-26
Lb(188,7) = 132 is found by truncation of: Lb(192,7) = 136 GW2 Ub(188,7) = 136 DM3
GW2: M. Grassl & G. White, New Codes from Chains of Quasi-cyclic Codes, ISIT 2005.
Notes
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