lower bound: | 108 |
upper bound: | 115 |
Construction of a linear code [183,10,108] over GF(3): [1]: [182, 10, 108] Quasicyclic of degree 2 Linear Code over GF(3) QuasiCyclicCode of length 182 with generating polynomials: 2*x^90 + 2*x^89 + x^88 + 2*x^86 + x^85 + x^84 + x^83 + 2*x^82 + x^81 + 2*x^80 + x^76 + x^74 + x^73 + 2*x^72 + x^71 + 2*x^69 + 2*x^68 + x^67 + x^66 + 2*x^65 + x^64 + x^61 + x^60 + x^59 + x^58 + x^57 + x^56 + x^55 + 2*x^53 + 2*x^52 + 2*x^51 + 2*x^50 + 2*x^48 + 2*x^46 + 2*x^45 + 2*x^44 + 2*x^41 + x^39 + x^37 + 2*x^36 + 2*x^35 + x^32 + x^31 + 2*x^30 + 2*x^28 + x^27 + 2*x^26 + 2*x^25 + x^23 + x^22 + 2*x^21 + x^20 + x^19 + x^18 + x^17 + 2*x^15 + 2*x^14 + x^13 + 2*x^11 + x^10 + 2*x^8 + x^5 + x^4 + 2*x^3 + 2*x^2 + x + 1, x^90 + 2*x^89 + x^87 + x^86 + 2*x^85 + 2*x^83 + 2*x^82 + x^79 + x^77 + 2*x^75 + 2*x^74 + x^73 + 2*x^71 + 2*x^68 + 2*x^67 + x^63 + 2*x^60 + x^58 + 2*x^56 + 2*x^55 + 2*x^51 + 2*x^49 + x^48 + 2*x^46 + x^44 + 2*x^43 + x^42 + 2*x^39 + x^37 + 2*x^36 + x^35 + x^32 + 2*x^28 + x^27 + 2*x^26 + x^25 + x^24 + 2*x^23 + 2*x^22 + 2*x^20 + x^19 + x^18 + x^17 + x^16 + x^15 + x^14 + 2*x^12 + x^11 + 2*x^9 + x^7 + x^6 + 2*x^4 + x^2 + 2*x + 1 [2]: [183, 10, 108] Linear Code over GF(3) ExtendCode [1] by 1 last modified: 2003-10-07
Lb(183,10) = 108 is found by lengthening of: Lb(182,10) = 108 DaH Ub(183,10) = 115 is found by considering shortening to: Ub(182,9) = 115 is found by considering lengthening to: Ub(183,9) = 115 Gur
Gur: Sugi Guritman, Restrictions on the weight distribution of linear codes, Thesis, Techn. Univ. Delft, 2000.
Notes
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