lower bound: | 48 |
upper bound: | 51 |
Construction of a linear code [116,14,48] over GF(2): [1]: [4, 1, 4] Cyclic Linear Code over GF(2) RepetitionCode of length 4 [2]: [112, 13, 48] Quasicyclic of degree 4 Linear Code over GF(2) QuasiCyclicCode of length 112 with generating polynomials: x^27 + x^26 + x^25 + x^24 + x^23 + x^22 + x^21 + x^16 + x^15 + x^14 + x^13 + 1, x^27 + x^18 + x^16 + x^14 + x^13 + x^12 + x^11 + x^9 + x^7 + x^6 + x^4 + x, x^27 + x^26 + x^23 + x^21 + x^20 + x^16 + x^15 + x^10 + x^8 + x^6 + x^5 + x, x^25 + x^24 + x^23 + x^20 + x^19 + x^14 + x^12 + x^11 + x^10 + x^9 + x^5 + x^2 [3]: [112, 14, 44] Quasicyclic of degree 4 Linear Code over GF(2) QuasiCyclicCode of length 112 with generating polynomials: x^26 + x^24 + x^22 + x^16 + x^14 + 1, x^27 + x^26 + x^25 + x^24 + x^23 + x^22 + x^21 + x^20 + x^19 + x^16 + x^15 + x^13 + x^11 + x^10 + x^7 + x^4 + x^3 + x^2, x^27 + x^23 + x^22 + x^20 + x^19 + x^18 + x^17 + x^15 + x^14 + x^13 + x^12 + x^11 + x^8 + x^7 + x^5 + x^4 + x^3 + x^2, x^25 + x^23 + x^22 + x^21 + x^19 + x^18 + x^17 + x^16 + x^15 + x^12 + x^10 + x^5 + x^4 + x^3 [4]: [116, 14, 48] Linear Code over GF(2) ConstructionX using [3] [2] and [1] last modified: 2003-04-09
Lb(116,14) = 48 GW2 Ub(116,14) = 51 Ja
Ja: D.B. Jaffe, Binary linear codes: new results on nonexistence, 1996, code.ps.gz.
Notes
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