lower bound: | 135 |
upper bound: | 137 |
Construction of a linear code [210,7,135] over GF(3): [1]: [210, 7, 135] Quasicyclic of degree 30 Linear Code over GF(3) QuasiCyclicCode of length 210 with generating polynomials: 2*x^5 + 2*x^4 + 2*x^3 + x + 1, 2*x^6 + 2*x^5 + x^4 + x^3 + 2*x^2 + x + 1, x^3 + 1, 2*x^5 + x^4 + x^3 + x^2 + x + 1, 2*x^4 + 2*x^3 + x + 1, x^4 + 2*x^2 + 2*x + 1, 2*x^5 + x^3 + x^2 + 1, 2*x^3 + x + 1, x^5 + x^4 + x^2 + 1, x^4 + x^3 + 1, 2*x^5 + x^4 + 2*x^3 + 2*x^2 + 1, 2*x^4 + x^3 + 2*x^2 + x + 1, 2*x^5 + x^4 + 2*x^3 + 2*x + 1, 2*x^4 + x^3 + x^2 + x + 1, 2*x^3 + x^2 + 1, x^5 + 2*x^4 + 2*x^3 + x + 1, 2*x^3 + x^2 + x + 1, 2*x + 1, x^5 + x^4 + x^3 + x^2 + 2*x + 1, 2*x^5 + x^4 + 2*x^3 + 2*x^2 + x + 1, 2*x^4 + 2*x^3 + 2*x^2 + 1, 2*x^5 + 2*x^4 + 2*x^3 + x^2 + x + 1, 2*x^5 + 2*x^4 + 2*x^3 + 2*x^2 + 1, 2*x^5 + x^4 + 2*x^3 + 2*x^2 + 2*x + 1, 2*x^5 + x^4 + x^2 + 1, 2*x^4 + 2*x^2 + 1, 2*x^6 + x^5 + x^4 + x^3 + x^2 + x + 1, x^5 + 2*x^4 + x^3 + x^2 + x + 1, 2*x^4 + x^3 + 2*x^2 + 1, x^5 + x^4 + x^3 + x^2 + 1 last modified: 2003-10-02
Lb(210,7) = 135 is found by lengthening of: Lb(209,7) = 135 GW2 Ub(210,7) = 137 follows by a one-step Griesmer bound from: Ub(72,6) = 45 follows by a one-step Griesmer bound from: 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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