lower bound: | 139 |
upper bound: | 141 |
Construction of a linear code [216,7,139] over GF(3): [1]: [216, 7, 139] Quasicyclic of degree 27 Linear Code over GF(3) QuasiCyclicCode of length 216 with generating polynomials: x^4 + x^3 + x^2 + x + 2, 2*x^5 + 2*x^4 + 2*x^3 + x^2 + 2, x^4 + x^2 + 2*x + 2, 2*x^6 + 2*x^5 + x^4 + x^3 + 2*x^2 + 2*x + 2, x^6 + x^5 + x^3 + x^2 + 2, 2*x^5 + x^4 + x^2 + 2, 2*x^5 + 2*x^4 + x^3 + x^2 + x + 2, 2*x^5 + 2*x^4 + 2*x^3 + x + 2, x^5 + x^4 + 2*x^3 + x^2 + 2*x + 2, 2*x^3 + 2*x + 2, x^6 + 2*x^5 + 2*x^4 + x^3 + 2*x^2 + 2*x + 2, x^6 + 2*x^5 + 2*x^4 + 2*x^3 + 2*x^2 + x + 2, x^6 + 2*x^5 + x^4 + x^3 + x^2 + x + 2, 2*x^5 + 2*x^4 + x^2 + 2*x + 2, x^6 + x^5 + x^4 + x^3 + 2*x^2 + x + 2, x^6 + x^5 + 2*x^4 + x^3 + x^2 + x + 2, x^5 + x^3 + 2*x + 2, 2*x^6 + x^4 + x^3 + 2*x^2 + x + 2, 2*x^3 + x^2 + x + 2, 2*x^6 + x^5 + x^4 + 2*x^2 + x + 2, x^6 + x^5 + 2*x^3 + x^2 + 2*x + 2, 2*x^6 + x^5 + 2*x^4 + x^3 + x + 2, x^5 + x^3 + 2*x^2 + 2, 2*x^5 + 2*x^4 + 2*x^2 + x + 2, 2*x^6 + 2*x^5 + 2*x^4 + x^3 + 2*x^2 + x + 2, x^6 + x^5 + 2*x^4 + 2*x^2 + x + 2, 2*x^5 + x^4 + x^3 + 2*x^2 + x + 2 last modified: 2003-10-02
Lb(216,7) = 139 GO Ub(216,7) = 141 follows by a one-step Griesmer bound from: Ub(74,6) = 47 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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