lower bound: | 25 |
upper bound: | 38 |
Construction of a linear code [97,45,25] over GF(4): [1]: [1, 1, 1] Cyclic Linear Code over GF(2^2) RepetitionCode of length 1 [2]: [96, 44, 25] Quasicyclic of degree 2 Linear Code over GF(2^2) QuasiCyclicCode of length 96 with generating polynomials: w^2*x^47 + w^2*x^46 + w^2*x^45 + w*x^44 + x^24, w*x^47 + w*x^46 + w*x^45 + w^2*x^44 + w*x^43 + w*x^42 + w*x^40 + w*x^39 + w*x^37 + w*x^35 + w^2*x^34 + w*x^33 + x^32 + w^2*x^31 + w*x^30 + x^29 + w*x^26 + w*x^25 + w^2*x^24 + w^2*x^22 + w^2*x^21 + w^2*x^20 + w*x^16 + x^15 + w*x^13 + x^11 + w^2*x^10 + x^9 + x^7 + x^6 + w^2*x^5 + x^4 + x^3 + x^2 + x [3]: [96, 45, 24] Quasicyclic of degree 2 Linear Code over GF(2^2) QuasiCyclicCode of length 96 with generating polynomials: w*x^47 + x^46 + w*x^45 + x^6, x^46 + x^45 + w^2*x^44 + w*x^43 + w^2*x^42 + w*x^39 + w^2*x^38 + w^2*x^37 + x^36 + x^35 + w^2*x^34 + x^33 + w^2*x^32 + x^31 + w^2*x^30 + x^29 + w^2*x^28 + x^27 + x^26 + w*x^24 + w*x^22 + x^21 + w*x^20 + x^18 + x^17 + w^2*x^15 + x^13 + w^2*x^12 + w^2*x^11 + w^2*x^10 + x^8 + w*x^7 + w^2*x^6 + w^2*x^5 + x^4 + w*x^2 + w^2*x [4]: [97, 45, 25] Linear Code over GF(2^2) ConstructionX using [3] [2] and [1] last modified: 2020-07-29
Lb(97,45) = 23 is found by shortening of: Lb(101,49) = 23 is found by truncation of: Lb(102,49) = 24 Tol Ub(97,45) = 38 is found by considering shortening to: Ub(77,25) = 38 LP
Tol: L.M.G.M. Tolhuizen, Cooperating error-correcting codes and their decoding, Ph.D. thesis, Eindhoven Univ. of Techn., June 1996.
Notes
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