lower bound: | 160 |
upper bound: | 160 |
Construction of a linear code [216,5,160] over GF(4): [1]: [216, 5, 160] Quasicyclic of degree 36 Linear Code over GF(2^2) QuasiCyclicCode of length 216 with generating polynomials: x^5 + x^4, x^5 + x^3, x^5 + x^4 + x^3 + x^2, w*x^5 + w^2*x^4 + x^2, w^2*x^5 + w*x^4 + x^2, x^5 + w^2*x^4 + w^2*x^3 + x^2, w*x^5 + w^2*x^3 + x^2, x^5 + w*x^4 + w*x^3 + x^2, w*x^5 + x^4 + w*x^3 + x^2, w*x^5 + w*x^4 + x^2 + x, x^5 + x^3 + x^2 + x, w*x^5 + w^2*x^4 + x^3 + x^2 + x, w^2*x^5 + w*x^4 + x^3 + x^2 + x, x^5 + w^2*x^4 + w*x^3 + x^2 + x, w*x^5 + w*x^3 + x^2 + x, w^2*x^5 + x^4 + w*x^3 + x^2 + x, x^5 + w*x^4 + w^2*x^3 + x^2 + x, w*x^5 + x^4 + w^2*x^3 + x^2 + x, w^2*x^5 + w^2*x^3 + x^2 + x, w*x^5 + w*x^4 + x^3 + x, w^2*x^5 + w^2*x^4 + x^3 + x, w*x^5 + x^4 + w*x^3 + x, w*x^5 + w*x^4 + w*x^3 + w^2*x^2 + x, w*x^5 + w^2*x^4 + w^2*x^3 + w^2*x^2 + x, w^2*x^5 + w*x^4 + w^2*x^3 + w^2*x^2 + x, x^5 + w^2*x^4 + w^2*x^2 + x, x^5 + w*x^4 + x^3 + w^2*x^2 + x, w*x^5 + x^4 + x^3 + w^2*x^2 + x, x^5 + x^4 + w^2*x^3 + w*x^2 + x, w*x^5 + w*x^4 + w^2*x^3 + w*x^2 + x, w^2*x^5 + w^2*x^4 + w^2*x^3 + w*x^2 + x, w*x^5 + w^2*x^4 + w*x^3 + w*x^2 + x, w*x^5 + w*x^4 + x^3 + x^2 + x + 1, w^2*x^5 + w^2*x^4 + x^3 + x^2 + x + 1, w^2*x^5 + x^4 + w^2*x^3 + x^2 + x + 1, w*x^5 + w^2*x^4 + w*x^3 + w^2*x^2 + x + 1 last modified: 2002-04-23
Lb(216,5) = 160 is found by lengthening of: Lb(215,5) = 160 BGV Ub(216,5) = 160 follows by the Griesmer bound.
Notes
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