lower bound: | 125 |
upper bound: | 131 |
Construction of a linear code [207,10,125] over GF(3): [1]: [208, 10, 126] Quasicyclic of degree 2 Linear Code over GF(3) QuasiCyclicCode of length 208 with generating polynomials: 2*x^102 + x^101 + x^100 + 2*x^95 + 2*x^94 + 2*x^93 + 2*x^92 + 2*x^88 + x^86 + 2*x^85 + 2*x^84 + x^81 + x^80 + 2*x^78 + x^76 + 2*x^73 + x^69 + x^68 + x^67 + 2*x^64 + 2*x^63 + 2*x^62 + x^60 + 2*x^59 + x^57 + x^55 + 2*x^54 + 2*x^53 + x^51 + x^50 + 2*x^49 + 2*x^48 + x^47 + 2*x^45 + 2*x^44 + 2*x^41 + 2*x^40 + 2*x^39 + x^37 + x^35 + 2*x^34 + 2*x^33 + 2*x^32 + x^30 + 2*x^29 + 2*x^28 + 2*x^27 + 2*x^26 + x^25 + 2*x^24 + 2*x^21 + 2*x^19 + 2*x^18 + x^17 + x^16 + x^14 + 2*x^13 + x^12 + 2*x^11 + x^9 + 2*x^8 + 2*x^7 + x^6 + 2*x^5 + x^4 + 2*x^3 + x^2 + 1, x^103 + x^102 + 2*x^101 + 2*x^99 + 2*x^98 + 2*x^96 + 2*x^93 + x^92 + 2*x^90 + x^89 + x^88 + x^86 + x^85 + x^82 + 2*x^81 + 2*x^80 + 2*x^79 + x^78 + x^77 + 2*x^74 + x^73 + 2*x^70 + 2*x^67 + 2*x^66 + 2*x^65 + x^64 + x^62 + 2*x^61 + x^60 + 2*x^59 + x^58 + 2*x^53 + 2*x^51 + x^49 + 2*x^48 + 2*x^45 + 2*x^44 + x^43 + 2*x^42 + x^41 + 2*x^39 + 2*x^38 + 2*x^37 + x^35 + 2*x^34 + x^30 + 2*x^29 + 2*x^28 + x^27 + 2*x^26 + 2*x^25 + x^24 + x^21 + 2*x^20 + 2*x^19 + 2*x^18 + x^17 + 2*x^16 + x^15 + 2*x^14 + 2*x^9 + 2*x^8 + 2*x^7 + 2*x^6 + 2*x^4 + x^3 + x^2 + x [2]: [207, 10, 125] Linear Code over GF(3) Puncturing of [1] at { 208 } last modified: 2003-10-07
Lb(207,10) = 125 is found by truncation of: Lb(208,10) = 126 DaH Ub(207,10) = 131 is found by considering shortening to: Ub(206,9) = 131 Gur
Gur: Sugi Guritman, Restrictions on the weight distribution of linear codes, Thesis, Techn. Univ. Delft, 2000.
Notes
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