lower bound: | 106 |
upper bound: | 108 |
Construction of a linear code [148,6,106] over GF(4): [1]: [150, 6, 108] Quasicyclic of degree 10 Linear Code over GF(2^2) QuasiCyclicCode of length 150 with generating polynomials: x^14 + w^2*x^13 + w^2*x^12 + w*x^10 + x^9 + x^8 + w*x^6 + x, x^14 + w*x^13 + w*x^12 + x^10 + w*x^7 + w*x^6 + w*x^5 + w*x^4 + w*x^3 + w^2*x^2 + w^2*x + w, x^14 + w^2*x^13 + w*x^12 + w^2*x^11 + w*x^9 + w*x^8 + x^7 + w*x^6 + w*x^5 + w*x^2 + w*x + w, w*x^11 + w^2*x^9 + w^2*x^8 + w^2*x^7 + w^2*x^4 + w*x^3 + x^2 + 1, w^2*x^14 + x^11 + w*x^8 + x^6 + x^5 + w*x^4 + w*x^3 + x^2 + w*x + w^2, x^13 + w*x^12 + w^2*x^11 + w*x^10 + x^9 + x^8 + w^2*x^7 + w^2*x^5 + w^2*x^3 + x^2, w^2*x^14 + x^12 + w*x^10 + w*x^8 + w*x^7 + x^6 + w^2*x^5 + x^4 + w*x^2 + x, x^14 + w*x^13 + w^2*x^12 + w^2*x^10 + w*x^9 + w*x^8 + w*x^7 + w*x^6 + w^2*x^4 + x^3 + w^2*x^2 + w, x^14 + x^13 + w*x^12 + w*x^10 + x^9 + w^2*x^8 + w*x^7 + w*x^6 + w^2*x^4 + x^3 + w*x^2 + w*x, x^14 + w*x^13 + w^2*x^12 + w*x^11 + w^2*x^10 + w^2*x^9 + w*x^8 + w*x^7 + w*x^6 + x^5 + w*x^4 + w^2*x^3 + x + 1 [2]: [148, 6, 106] Linear Code over GF(2^2) Puncturing of [1] at { 149 .. 150 } last modified: 2006-05-31
Lb(148,6) = 106 is found by truncation of: Lb(150,6) = 108 Koh Ub(148,6) = 108 follows by a one-step Griesmer bound from: Ub(39,5) = 27 follows by a one-step Griesmer bound from: Ub(11,4) = 6 is found by considering shortening to: Ub(10,3) = 6 GH
Koh: Axel Kohnert, email, 2006.
Notes
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