lower bound: | 99 |
upper bound: | 102 |
Construction of a linear code [162,9,99] over GF(3): [1]: [2, 1, 2] Cyclic Linear Code over GF(3) RepetitionCode of length 2 [2]: [160, 8, 99] Quasicyclic of degree 2 Linear Code over GF(3) QuasiCyclicCode of length 160 with generating polynomials: x^79 + x^78 + x^76 + x^74 + 2*x^73 + x^71 + 2*x^69 + 2*x^68 + 2*x^65 + 2*x^64 + x^63 + x^62 + 2*x^61 + 2*x^59 + 2*x^58 + x^57 + x^56 + x^53 + x^51 + x^48 + x^47 + 2*x^46 + x^44 + 2*x^41 + x^40 + x^38 + x^37 + 2*x^35 + x^34 + x^32 + 2*x^31 + x^30 + x^29 + 2*x^28 + 2*x^27 + x^26 + x^25 + 2*x^23 + 2*x^22 + 2*x^21 + x^20 + 2*x^18 + x^17 + x^16 + x^15 + x^14 + 2*x^12 + 2*x^11 + 2*x^10 + x^8 + 1, x^79 + 2*x^77 + 2*x^76 + x^75 + x^74 + 2*x^72 + 2*x^71 + x^70 + 2*x^68 + 2*x^67 + x^65 + 2*x^63 + x^61 + 2*x^60 + x^58 + x^57 + x^55 + x^54 + 2*x^53 + 2*x^52 + x^51 + 2*x^49 + 2*x^48 + 2*x^46 + x^45 + 2*x^42 + 2*x^41 + x^40 + x^38 + x^37 + x^36 + x^34 + 2*x^33 + x^32 + 2*x^31 + x^30 + x^28 + x^27 + x^26 + 2*x^25 + 2*x^24 + x^21 + 2*x^19 + x^18 + 2*x^17 + x^15 + 2*x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + 2*x^5 + x^4 + x^3 + x^2 + 2*x [3]: [160, 9, 97] Quasicyclic of degree 2 Linear Code over GF(3) QuasiCyclicCode of length 160 with generating polynomials: x^79 + 2*x^75 + x^73 + 2*x^70 + x^69 + 2*x^67 + 2*x^64 + 2*x^63 + x^62 + 2*x^59 + x^57 + x^55 + x^54 + x^52 + x^50 + x^49 + 2*x^48 + x^47 + 2*x^46 + x^45 + 2*x^44 + 2*x^42 + x^41 + 2*x^40 + 2*x^39 + x^38 + 2*x^37 + x^36 + 2*x^35 + 2*x^33 + 2*x^32 + x^29 + x^27 + 2*x^25 + 2*x^24 + 2*x^21 + x^18 + 2*x^17 + x^16 + x^14 + 2*x^13 + 2*x^12 + 2*x^11 + 2*x^10 + 2*x^9 + x^7 + 2*x^5 + 2*x^4 + 2*x^2 + 2*x, x^77 + 2*x^74 + x^73 + x^70 + x^69 + 2*x^68 + x^66 + x^65 + 2*x^64 + 2*x^63 + x^62 + x^61 + 2*x^60 + x^58 + 2*x^55 + 2*x^54 + 2*x^53 + x^52 + x^51 + x^50 + x^47 + 2*x^46 + x^45 + 2*x^43 + 2*x^42 + 2*x^41 + x^40 + x^38 + x^37 + 2*x^36 + x^35 + x^33 + 2*x^32 + 2*x^31 + 2*x^26 + x^23 + 2*x^20 + 2*x^19 + 2*x^15 + x^14 + x^13 + 2*x^12 + 2*x^11 + x^9 + x^7 + 2*x^2 + 2*x [4]: [162, 9, 99] Linear Code over GF(3) ConstructionX using [3] [2] and [1] last modified: 2003-10-10
Lb(162,9) = 99 DaH Ub(162,9) = 102 Gur
Gur: Sugi Guritman, Restrictions on the weight distribution of linear codes, Thesis, Techn. Univ. Delft, 2000.
Notes
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