lower bound: | 103 |
upper bound: | 111 |
Construction of a linear code [180,12,103] over GF(3): [1]: [182, 12, 105] Quasicyclic of degree 2 Linear Code over GF(3) QuasiCyclicCode of length 182 with generating polynomials: x^90 + x^89 + 2*x^88 + 2*x^87 + 2*x^84 + x^83 + 2*x^79 + 2*x^77 + x^76 + 2*x^74 + 2*x^73 + x^72 + x^71 + x^69 + x^68 + 2*x^65 + x^63 + 2*x^62 + 2*x^61 + 2*x^60 + x^59 + x^57 + x^56 + x^55 + x^54 + 2*x^52 + 2*x^50 + 2*x^48 + 2*x^46 + x^44 + 2*x^43 + x^42 + 2*x^40 + x^39 + 2*x^38 + x^35 + 2*x^34 + 2*x^33 + 2*x^32 + x^31 + 2*x^30 + x^28 + x^26 + x^23 + 2*x^22 + x^20 + x^19 + 2*x^18 + 2*x^17 + x^16 + x^14 + x^12 + x^11 + x^10 + x^9 + 2*x^7 + x^4 + 2*x^3 + x^2 + x, 2*x^89 + x^88 + 2*x^86 + x^85 + x^84 + 2*x^83 + x^81 + 2*x^79 + 2*x^78 + 2*x^76 + x^74 + x^73 + x^72 + 2*x^71 + x^69 + x^68 + 2*x^67 + 2*x^66 + 2*x^65 + x^64 + 2*x^62 + 2*x^61 + 2*x^60 + 2*x^59 + x^58 + x^57 + 2*x^55 + x^54 + 2*x^53 + 2*x^52 + x^50 + x^49 + 2*x^48 + 2*x^47 + 2*x^46 + x^45 + x^44 + 2*x^43 + 2*x^42 + 2*x^40 + 2*x^39 + x^36 + 2*x^35 + x^34 + x^32 + 2*x^31 + 2*x^30 + x^29 + x^28 + x^26 + 2*x^24 + x^21 + x^20 + x^18 + x^14 + 2*x^13 + 2*x^12 + 2*x^11 + x^10 + 2*x^9 + 2*x^7 + 2*x^5 + x^4 + 2*x^3 + 2*x^2 + 1 [2]: [180, 12, 103] Linear Code over GF(3) Puncturing of [1] at { 181 .. 182 } last modified: 2001-12-17
Lb(180,12) = 103 is found by truncation of: Lb(182,12) = 105 ARS Ub(180,12) = 111 Gur
Gur: Sugi Guritman, Restrictions on the weight distribution of linear codes, Thesis, Techn. Univ. Delft, 2000.
Notes
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