lower bound:  85 
upper bound:  93 
Construction of a linear code [153,12,85] over GF(3): [1]: [154, 12, 86] Quasicyclic of degree 7 Linear Code over GF(3) QuasiCyclicCode of length 154 stacked to height 2 with generating polynomials: 2*x^20 + x^19 + x^18 + 2*x^17 + 2*x^13 + x^12 + x^6, 2*x^21 + 2*x^20 + 2*x^19 + x^18 + x^17 + x^16 + 2*x^14 + 2*x^13 + x^12 + 2*x^10 + x^9 + 2*x^8 + 2*x^7 + x^6 + 2*x^5, x^21 + x^20 + 2*x^18 + x^17 + x^16 + 2*x^14 + 2*x^13 + x^12 + 2*x^11 + 2*x^6 + x^5 + 2*x^2 + x, x^21 + 2*x^20 + x^19 + x^18 + x^17 + 2*x^16 + 2*x^15 + 2*x^14 + x^12 + x^11 + x^10 + 2*x^9 + x^8 + x^7 + x^5 + x^3 + 2*x^2 + x, x^21 + x^20 + x^19 + 2*x^18 + 2*x^14 + 2*x^13 + 2*x^12 + x^11 + 2*x^10 + x^9 + 2*x^5 + 2*x^3 + 1, 2*x^21 + x^20 + x^17 + 2*x^16 + x^14 + 2*x^13 + 2*x^12 + x^11 + x^10 + 2*x^8 + 2*x^7 + x^6 + x^5 + 2*x^4 + x + 1, x^21 + 2*x^20 + x^18 + x^17 + x^16 + 2*x^15 + x^14 + x^13 + 2*x^12 + x^10 + 2*x^9 + x^7 + 2*x^6 + 2*x^5 + x^4 + 2*x^3 + 2*x^2 + 2*x + 1, 0, x^21 + x^20 + x^19 + x^18 + x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1, 2*x^21 + 2*x^20 + 2*x^19 + 2*x^18 + 2*x^17 + 2*x^16 + 2*x^15 + 2*x^14 + 2*x^13 + 2*x^12 + 2*x^11 + 2*x^10 + 2*x^9 + 2*x^8 + 2*x^7 + 2*x^6 + 2*x^5 + 2*x^4 + 2*x^3 + 2*x^2 + 2*x + 2, x^21 + x^20 + x^19 + x^18 + x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1, x^21 + x^20 + x^19 + x^18 + x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1, 2*x^21 + 2*x^20 + 2*x^19 + 2*x^18 + 2*x^17 + 2*x^16 + 2*x^15 + 2*x^14 + 2*x^13 + 2*x^12 + 2*x^11 + 2*x^10 + 2*x^9 + 2*x^8 + 2*x^7 + 2*x^6 + 2*x^5 + 2*x^4 + 2*x^3 + 2*x^2 + 2*x + 2, x^21 + x^20 + x^19 + x^18 + x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 [2]: [153, 12, 85] Linear Code over GF(3) Puncturing of [1] at { 154 } last modified: 20100104
Lb(153,12) = 84 is found by taking a subcode of: Lb(153,13) = 84 BZ Ub(153,12) = 93 Gur
Gur: Sugi Guritman, Restrictions on the weight distribution of linear codes, Thesis, Techn. Univ. Delft, 2000.
Notes
