lower bound:  34 
upper bound:  42 
Construction of a linear code [119,30,34] over GF(2): [1]: [3, 2, 2] Cyclic Linear Code over GF(2) CordaroWagnerCode of length 3 [2]: [116, 28, 34] Quasicyclic of degree 4 Linear Code over GF(2) QuasiCyclicCode of length 116 with generating polynomials: x^28 + x^5, x^28 + x^16 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^3 + x^2 + 1, x^20 + x^18 + x^17 + x^16 + x^14 + x^13 + x^11 + x^9 + x^6 + x^5 + x^3 + x, x^28 + x^24 + x^21 + x^20 + x^18 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 + x^7 + x^6 + x^4 + x^3 [3]: [116, 30, 32] Quasicyclic of degree 4 Linear Code over GF(2) QuasiCyclicCode of length 116 stacked to height 3 with generating polynomials: x^28 + x^27 + x^26 + x^25 + x^24 + x^23 + x^22 + 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, 0, x^28 + x^27 + x^26 + x^25 + x^24 + x^23 + x^22 + 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, 0, 0, x^28 + x^27 + x^26 + x^25 + x^24 + x^23 + x^22 + 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, 0, x^28 + x^27 + x^26 + x^25 + x^24 + x^23 + x^22 + 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^28 + x^5, x^28 + x^16 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^3 + x^2 + 1, x^20 + x^18 + x^17 + x^16 + x^14 + x^13 + x^11 + x^9 + x^6 + x^5 + x^3 + x, x^28 + x^24 + x^21 + x^20 + x^18 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 + x^7 + x^6 + x^4 + x^3 [4]: [119, 30, 34] Linear Code over GF(2) ConstructionX using [3] [2] and [1] last modified: 20210825
Lb(119,30) = 33 is found by shortening of: Lb(125,36) = 33 is found by truncation of: Lb(128,36) = 36 is found by adding a parity check bit to: Lb(127,36) = 35 cy Ub(119,30) = 42 is found by considering shortening to: Ub(115,26) = 42 otherwise adding a parity check bit would contradict: Ub(116,26) = 43 Bro
cy:
Notes
