lower bound: | 151 |
upper bound: | 153 |
Construction of a linear code [234,7,151] over GF(3): [1]: [234, 7, 151] Quasicyclic of degree 18 Linear Code over GF(3) QuasiCyclicCode of length 234 with generating polynomials: x^10 + x^9 + x^8 + 2*x^7 + x^5 + 2*x^4 + x^3 + 2*x^2 + x + 1, x^9 + 2*x^8 + x^7 + x^6 + 2*x^5 + x^4 + x^3 + 2*x^2 + 1, x^10 + 2*x^8 + 2*x^7 + 2*x^6 + x^5 + x^4 + x^3 + 2*x^2 + 2*x + 2, x^9 + 2*x^8 + 2*x^5 + x^4 + 2*x^2 + 2*x + 1, x^10 + 2*x^9 + x^8 + x^7 + 2*x^5 + x^4 + 2*x^3 + x^2 + x + 1, x^10 + x^9 + 2*x^6 + x^5 + x^4 + x^2 + 1, x^10 + x^9 + x^7 + x^5 + x^4 + x^3 + x^2 + x + 1, x^11 + 2*x^10 + x^9 + 2*x^7 + x^6 + x^4 + x^3 + 2*x^2 + x + 2, x^10 + 2*x^9 + 2*x^8 + x^7 + 2*x^6 + 2*x^5 + 2*x^4 + x^3 + 2*x^2 + 1, x^10 + 2*x^9 + 2*x^8 + x^6 + 2*x^5 + 2*x^4 + 2*x^2 + 2*x + 1, x^10 + x^9 + x^8 + x^7 + 2*x^6 + x^5 + 2*x^4 + 2*x^2 + 1, x^11 + x^10 + 2*x^9 + 2*x^8 + x^7 + x^6 + x^5 + 2*x^3 + x^2 + 1, x^10 + x^9 + x^8 + 2*x^6 + 2*x^5 + 2*x^4 + 2*x^3 + 2*x + 2, x^9 + x^7 + x^6 + 2*x^4 + x^2 + 2*x + 2, x^11 + x^10 + 2*x^9 + 2*x^7 + x^6 + x^5 + x^4 + 2*x^3 + 2*x^2 + 1, x^11 + 2*x^10 + 2*x^9 + x^8 + 2*x^6 + x^5 + x^4 + 2*x^2 + 2*x + 2, x^9 + x^8 + x^6 + 2*x^5 + x^3 + x^2 + 1, x^7 + 2*x^6 + x^5 + x^3 + x^2 + x + 1 last modified: 2003-10-02
Lb(234,7) = 151 is found by truncation of: Lb(236,7) = 153 GW2 Ub(234,7) = 153 follows by a one-step Griesmer bound from: Ub(80,6) = 51 follows by a one-step Griesmer bound from: Ub(28,5) = 17 is found by considering truncation to: Ub(26,5) = 15 is found by construction B: [consider deleting the (at most) 3 coordinates of a word in the dual]
Notes
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