lower bound:  35 
upper bound:  46 
Construction of a linear code [100,28,35] over GF(3): [1]: [1, 1, 1] Cyclic Linear Code over GF(3) RepetitionCode of length 1 [2]: [99, 27, 35] Quasicyclic of degree 3 Linear Code over GF(3) QuasiCyclicCode of length 99 with generating polynomials: x^32 + x^31 + x^30 + x^28 + x^27 + x^3, x^30 + x^25 + 2*x^24 + 2*x^23 + 2*x^22 + x^21 + 2*x^20 + x^19 + x^18 + 2*x^17 + x^16 + 2*x^15 + 2*x^12 + x^11 + 2*x^9 + 2*x^8 + x^6 + x^5 + 2*x^4 + x^2 + x + 2, 2*x^31 + x^30 + x^29 + x^27 + x^25 + 2*x^24 + 2*x^23 + 2*x^22 + 2*x^21 + x^20 + x^18 + x^17 + x^15 + x^14 + x^12 + x^11 + x^10 + x^6 + 2*x^2 + x + 1 [3]: [99, 28, 34] Quasicyclic of degree 3 Linear Code over GF(3) QuasiCyclicCode of length 99 with generating polynomials: 2*x^32 + 2*x^31 + x^29 + x^28 + x^14, x^32 + 2*x^31 + 2*x^27 + 2*x^26 + 2*x^24 + x^23 + 2*x^22 + x^21 + x^20 + 2*x^19 + x^17 + 2*x^16 + 2*x^15 + x^14 + x^13 + 2*x^12 + 2*x^11 + x^9 + x^8 + 2*x^7 + x^6 + x^5 + x^3 + 2*x, 2*x^31 + x^28 + 2*x^25 + 2*x^24 + 2*x^22 + 2*x^21 + 2*x^20 + x^19 + 2*x^18 + 2*x^15 + 2*x^14 + 2*x^13 + x^12 + 2*x^11 + 2*x^10 + 2*x^8 + 2*x^6 + 2*x^5 + x^4 + x^3 + x + 1 [4]: [100, 28, 35] Linear Code over GF(3) ConstructionX using [3] [2] and [1] last modified: 20210829
Lb(100,28) = 34 is found by taking a subcode of: Lb(100,31) = 34 is found by shortening of: Lb(103,34) = 34 Glo Ub(100,28) = 46 is found by considering shortening to: Ub(97,25) = 46 Da
Glo: Volker von Gloeden, Kubische Reste Codes, Diplomarbeit, DÃ¼sseldorf, Oktober 2002.
Notes
