lower bound:  36 
upper bound:  49 
Construction of a linear code [108,31,36] over GF(3): [1]: [4, 3, 2] Cyclic Linear Code over GF(3) Dual of the RepetitionCode of length 4 [2]: [104, 28, 36] Quasicyclic of degree 2 Linear Code over GF(3) QuasiCyclicCode of length 104 with generating polynomials: x^51 + x^50 + x^48 + x^46 + 2*x^43 + 2*x^42 + x^41 + x^39 + 2*x^38 + 2*x^33 + x^32 + 2*x^29 + x^28 + x^13, 2*x^51 + x^50 + 2*x^47 + 2*x^46 + x^44 + 2*x^43 + 2*x^41 + x^39 + x^38 + x^36 + 2*x^35 + 2*x^31 + 2*x^30 + 2*x^29 + 2*x^27 + 2*x^26 + 2*x^24 + 2*x^22 + x^21 + x^20 + x^19 + 2*x^16 + x^14 + x^12 + x^10 + x^8 + 2*x^5 + 2*x^3 + 2*x^2 + 2*x [3]: [104, 31, 34] Quasicyclic of degree 2 Linear Code over GF(3) QuasiCyclicCode of length 104 with generating polynomials: 2*x^51 + x^49 + x^48 + x^47 + x^46 + 2*x^44 + x^43 + 2*x^42 + x^39 + x^37 + x^35 + 2*x^32 + x^25, x^51 + 2*x^50 + 2*x^49 + 2*x^48 + x^47 + 2*x^46 + 2*x^45 + x^43 + 2*x^41 + 2*x^40 + 2*x^38 + x^37 + x^35 + x^33 + 2*x^32 + x^31 + x^29 + 2*x^27 + 2*x^26 + x^25 + 2*x^23 + x^22 + x^21 + 2*x^18 + 2*x^16 + 2*x^15 + 2*x^14 + 2*x^13 + 2*x^11 + x^7 + x^6 + 2*x^3 + x^2 + 2*x [4]: [108, 31, 36] Linear Code over GF(3) ConstructionX using [3] [2] and [1] last modified: 20210826
Lb(108,31) = 34 is found by taking a subcode of: Lb(108,34) = 34 is found by lengthening of: Lb(103,34) = 34 Glo Ub(108,31) = 49 is found by considering shortening to: Ub(103,26) = 49 LP
LP: Follows from the linear programming bound.
Notes
