lower bound: | 98 |
upper bound: | 99 |
Construction of a linear code [130,7,98] over GF(5): [1]: [26, 4, 20] Constacyclic by 2 Linear Code over GF(5) ConstaCyclicCode generated by 3*x^25 + 3*x^23 + 2*x^22 + 2*x^21 + x^20 + x^19 + x^18 + 4*x^17 + x^16 + 3*x^14 + 4*x^13 + 2*x^12 + 4*x^11 + 3*x^10 + 2*x^9 + 4*x^8 + 2*x^7 + 3*x^5 + x^4 + 1 with shift constant 2 [2]: [22, 4, 16] Linear Code over GF(5) Puncturing of [1] at { 23 .. 26 } [3]: [6, 3, 4] Linear Code over GF(5) ResidueCode of [2] [4]: [124, 4, 99] Cyclic Linear Code over GF(5) CyclicCode of length 124 with generating polynomial x^120 + x^119 + x^118 + x^116 + 2*x^115 + 4*x^114 + 3*x^113 + 3*x^112 + 3*x^111 + 3*x^110 + x^109 + 4*x^108 + 2*x^107 + 2*x^106 + x^104 + 3*x^103 + 2*x^102 + x^101 + 4*x^99 + 2*x^98 + 4*x^97 + x^95 + x^94 + 4*x^93 + 3*x^92 + 4*x^91 + 2*x^90 + 2*x^89 + 4*x^88 + 2*x^86 + 2*x^85 + 3*x^83 + 4*x^81 + x^80 + 2*x^79 + 3*x^78 + x^75 + 2*x^74 + 2*x^73 + x^72 + x^71 + 3*x^70 + x^69 + 2*x^68 + x^67 + x^66 + x^65 + 4*x^64 + x^62 + 4*x^61 + 2*x^60 + x^59 + 4*x^58 + 3*x^56 + x^55 + 4*x^54 + x^53 + x^52 + 4*x^51 + x^50 + 2*x^49 + 2*x^47 + 2*x^46 + x^45 + 4*x^44 + x^43 + 4*x^42 + 2*x^41 + 4*x^40 + 2*x^39 + 3*x^38 + 3*x^37 + 4*x^36 + 3*x^34 + 3*x^32 + x^30 + 3*x^29 + 4*x^28 + 3*x^27 + 2*x^26 + 4*x^25 + 4*x^24 + 3*x^23 + 3*x^22 + 2*x^21 + 2*x^20 + 4*x^18 + x^17 + x^15 + 3*x^14 + 4*x^12 + 3*x^11 + 4*x^10 + 2*x^7 + 3*x^4 + 2*x^3 + 2*x^2 + 4*x + 3 [5]: [124, 7, 94] Cyclic Linear Code over GF(5) CyclicCode of length 124 with generating polynomial x^117 + x^115 + 2*x^114 + 4*x^113 + x^112 + 4*x^111 + x^110 + x^107 + 4*x^105 + x^104 + x^103 + x^102 + 3*x^101 + 3*x^100 + 2*x^99 + 3*x^98 + x^97 + 4*x^96 + 2*x^95 + 2*x^93 + x^91 + 4*x^90 + 4*x^89 + 3*x^88 + x^87 + 3*x^86 + 3*x^84 + 3*x^83 + 4*x^82 + 2*x^80 + 4*x^78 + 3*x^77 + 4*x^76 + x^75 + 3*x^74 + 4*x^73 + x^71 + 3*x^70 + 3*x^69 + x^68 + x^67 + 4*x^66 + x^65 + 3*x^64 + 4*x^62 + 4*x^61 + x^60 + 2*x^59 + 4*x^58 + x^57 + x^56 + 3*x^54 + 3*x^53 + 3*x^52 + 4*x^48 + 2*x^47 + 2*x^45 + x^44 + x^43 + x^42 + x^41 + 3*x^40 + 4*x^39 + x^38 + 2*x^37 + 2*x^36 + 4*x^35 + 2*x^32 + x^31 + 4*x^30 + 3*x^28 + 3*x^26 + 3*x^24 + 3*x^23 + x^22 + 2*x^21 + x^19 + 2*x^18 + 3*x^16 + 2*x^15 + 4*x^14 + 2*x^12 + 3*x^11 + 2*x^10 + 3*x^9 + 4*x^8 + x^7 + 3*x^6 + 4*x^5 + x^4 + 3*x^3 + 4*x^2 + 2*x + 4 [6]: [130, 7, 98] Linear Code over GF(5) ConstructionX using [5] [4] and [3] last modified: 2008-05-17
Lb(130,7) = 98 XX Ub(130,7) = 99 is found by considering shortening to: Ub(129,6) = 99 LP
XX:
Notes
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