lower bound: | 80 |
upper bound: | 87 |
Construction of a linear code [144,12,80] over GF(3): [1]: [146, 12, 82] Quasicyclic of degree 2 Linear Code over GF(3) QuasiCyclicCode of length 146 with generating polynomials: x^72 + 2*x^71 + x^70 + 2*x^69 + x^68 + x^67 + x^66 + x^65 + 2*x^64 + 2*x^63 + x^60 + x^59 + x^58 + x^57 + 2*x^56 + x^55 + x^54 + 2*x^53 + x^52 + 2*x^51 + 2*x^49 + x^47 + 2*x^46 + x^42 + x^41 + x^39 + x^36 + 2*x^35 + 2*x^33 + 2*x^32 + 2*x^28 + x^25 + 2*x^24 + 2*x^23 + x^21 + x^19 + x^18 + x^17 + x^16 + x^15 + x^14 + 2*x^13 + x^12 + 2*x^7 + x^5 + x^4 + 2*x^2 + x, x^72 + 2*x^71 + 2*x^69 + x^68 + 2*x^66 + 2*x^65 + x^64 + 2*x^63 + x^62 + x^60 + 2*x^59 + x^58 + x^57 + x^56 + x^54 + x^53 + x^52 + x^50 + 2*x^48 + 2*x^47 + 2*x^46 + x^45 + x^44 + x^41 + 2*x^40 + x^39 + 2*x^38 + 2*x^37 + x^36 + x^35 + x^34 + x^33 + 2*x^32 + x^29 + x^28 + 2*x^27 + 2*x^26 + x^25 + x^20 + x^18 + 2*x^17 + x^16 + x^15 + x^10 + x^9 + 2*x^7 + 2*x^6 + x^5 + 2*x^4 + x^3 + x^2 + 2 [2]: [144, 12, 80] Linear Code over GF(3) Puncturing of [1] at { 145 .. 146 } last modified: 2001-12-17
Lb(144,12) = 80 is found by truncation of: Lb(146,12) = 82 ARS Ub(144,12) = 87 Gur
Gur: Sugi Guritman, Restrictions on the weight distribution of linear codes, Thesis, Techn. Univ. Delft, 2000.
Notes
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