lower bound: | 95 |
upper bound: | 100 |
Construction of a linear code [159,10,95] over GF(3): [1]: [160, 10, 96] Quasicyclic of degree 2 Linear Code over GF(3) QuasiCyclicCode of length 160 with generating polynomials: 2*x^78 + x^75 + x^73 + 2*x^72 + 2*x^71 + x^70 + x^69 + x^66 + 2*x^65 + 2*x^64 + 2*x^63 + x^62 + 2*x^60 + x^59 + x^58 + 2*x^57 + x^56 + 2*x^55 + x^52 + x^50 + x^49 + x^48 + x^46 + 2*x^45 + x^44 + 2*x^43 + 2*x^41 + x^40 + x^37 + 2*x^36 + 2*x^35 + 2*x^34 + x^33 + 2*x^32 + 2*x^31 + x^29 + 2*x^27 + 2*x^25 + x^24 + 2*x^21 + 2*x^20 + x^19 + 2*x^18 + x^17 + x^16 + 2*x^13 + 2*x^12 + x^11 + x^9 + x^5 + x^3 + x^2 + 2, x^79 + 2*x^78 + x^77 + 2*x^76 + 2*x^74 + x^73 + x^72 + x^71 + 2*x^70 + x^68 + 2*x^66 + 2*x^65 + 2*x^64 + 2*x^62 + 2*x^61 + 2*x^59 + 2*x^57 + x^56 + 2*x^55 + 2*x^54 + 2*x^53 + 2*x^52 + 2*x^51 + x^50 + 2*x^45 + 2*x^43 + x^41 + 2*x^40 + 2*x^39 + x^38 + x^33 + 2*x^32 + 2*x^31 + x^29 + 2*x^27 + x^26 + 2*x^25 + x^23 + x^22 + 2*x^20 + 2*x^19 + 2*x^17 + 2*x^15 + 2*x^14 + x^13 + x^12 + 2*x^11 + x^9 + 2*x^8 + 2*x^7 + 2*x^5 + x^4 + x^3 + 2*x + 2 [2]: [159, 10, 95] Linear Code over GF(3) Puncturing of [1] at { 160 } last modified: 2003-10-07
Lb(159,10) = 95 is found by truncation of: Lb(160,10) = 96 DaH Ub(159,10) = 100 follows by a one-step Griesmer bound from: Ub(58,9) = 33 follows by a one-step Griesmer bound from: Ub(24,8) = 11 BS
DaH: Rumen Daskalov & Plamen Hristov, New One-Generator Quasi-Cyclic Codes over GF(7), preprint, Oct 2001. R. Daskalov & P Hristov, New One-Generator Quasi-Twisted Codes over GF(5), (preprint) Oct. 2001. R. Daskalov & P Hristov, New Quasi-Twisted Degenerate Ternary Linear Codes, preprint, Nov 2001. Email, 2002-2003.
Notes
|