lower bound: | 96 |
upper bound: | 100 |
Construction of a linear code [159,9,96] over GF(3): [1]: [160, 9, 97] Quasicyclic of degree 2 Linear Code over GF(3) QuasiCyclicCode of length 160 with generating polynomials: x^79 + 2*x^75 + x^73 + 2*x^70 + x^69 + 2*x^67 + 2*x^64 + 2*x^63 + x^62 + 2*x^59 + x^57 + x^55 + x^54 + x^52 + x^50 + x^49 + 2*x^48 + x^47 + 2*x^46 + x^45 + 2*x^44 + 2*x^42 + x^41 + 2*x^40 + 2*x^39 + x^38 + 2*x^37 + x^36 + 2*x^35 + 2*x^33 + 2*x^32 + x^29 + x^27 + 2*x^25 + 2*x^24 + 2*x^21 + x^18 + 2*x^17 + x^16 + x^14 + 2*x^13 + 2*x^12 + 2*x^11 + 2*x^10 + 2*x^9 + x^7 + 2*x^5 + 2*x^4 + 2*x^2 + 2*x, x^77 + 2*x^74 + x^73 + x^70 + x^69 + 2*x^68 + x^66 + x^65 + 2*x^64 + 2*x^63 + x^62 + x^61 + 2*x^60 + x^58 + 2*x^55 + 2*x^54 + 2*x^53 + x^52 + x^51 + x^50 + x^47 + 2*x^46 + x^45 + 2*x^43 + 2*x^42 + 2*x^41 + x^40 + x^38 + x^37 + 2*x^36 + x^35 + x^33 + 2*x^32 + 2*x^31 + 2*x^26 + x^23 + 2*x^20 + 2*x^19 + 2*x^15 + x^14 + x^13 + 2*x^12 + 2*x^11 + x^9 + x^7 + 2*x^2 + 2*x [2]: [159, 9, 96] Linear Code over GF(3) Puncturing of [1] at { 160 } last modified: 2003-10-07
Lb(159,9) = 96 is found by shortening of: Lb(160,10) = 96 DaH Ub(159,9) = 100 Da2
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
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