lower bound: | 100 |
upper bound: | 104 |
Construction of a linear code [162,8,100] over GF(3): [1]: [164, 8, 102] Quasicyclic of degree 4 Linear Code over GF(3) QuasiCyclicCode of length 164 with generating polynomials: 2*x^40 + x^39 + x^36 + x^35 + x^34 + x^32 + x^31 + x^30 + x^27 + 2*x^26 + 2*x^25 + 2*x^24 + x^23 + 2*x^21 + 2*x^20 + 2*x^19 + x^18 + x^17 + 2*x^15 + x^14 + 2*x^13 + 2*x^12 + x^11 + 2*x^10 + x^8 + x^7 + 2*x^6 + 2*x^5 + 2*x^4 + x^2 + 2*x + 2, 2*x^40 + 2*x^39 + x^37 + x^36 + x^33 + x^32 + 2*x^31 + 2*x^30 + x^29 + 2*x^27 + x^26 + x^25 + 2*x^24 + 2*x^23 + 2*x^20 + 2*x^19 + x^17 + x^16 + x^15 + 2*x^14 + 2*x^13 + 2*x^12 + 2*x^11 + x^9 + 2*x^8 + x^7 + 2*x^6 + x^4 + x^3 + x^2 + x + 2, x^40 + 2*x^39 + 2*x^37 + 2*x^36 + x^35 + x^34 + x^33 + x^31 + 2*x^30 + 2*x^29 + x^28 + 2*x^26 + x^25 + 2*x^24 + x^23 + x^22 + 2*x^20 + x^18 + 2*x^16 + 2*x^15 + x^14 + 2*x^13 + x^12 + 2*x^10 + x^9 + x^8 + 2*x^7 + 2*x^5 + 2*x^4 + 2*x^3 + x^2 + x, x^40 + x^39 + x^38 + x^37 + x^36 + x^35 + 2*x^32 + x^30 + x^29 + x^28 + 2*x^27 + x^26 + 2*x^25 + x^24 + x^23 + 2*x^22 + 2*x^21 + x^20 + 2*x^18 + 2*x^17 + x^15 + 2*x^14 + 2*x^13 + x^12 + x^11 + 2*x^10 + x^9 + 2*x^8 + x^7 + x^6 + x^5 + 2*x^3 + 1 [2]: [162, 8, 100] Linear Code over GF(3) Puncturing of [1] at { 163 .. 164 } last modified: 2001-12-17
Lb(162,8) = 100 is found by truncation of: Lb(164,8) = 102 ARS Ub(162,8) = 104 is found by considering truncation to: Ub(160,8) = 102 Gur
Gur: Sugi Guritman, Restrictions on the weight distribution of linear codes, Thesis, Techn. Univ. Delft, 2000.
Notes
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