lower bound:  69 
upper bound:  71 
Construction of a linear code [95,7,69] over GF(5): [1]: [126, 8, 95] Constacyclic by 2 Linear Code over GF(5) ConstaCyclicCode generated by x^125 + 2*x^124 + 2*x^123 + 3*x^121 + 2*x^119 + 4*x^118 + 4*x^117 + x^116 + 4*x^115 + 4*x^114 + 4*x^113 + 2*x^112 + 2*x^111 + x^110 + 4*x^109 + x^108 + 2*x^107 + 2*x^106 + 3*x^103 + 3*x^102 + 2*x^101 + 3*x^100 + 4*x^99 + 4*x^98 + 2*x^97 + 4*x^94 + 2*x^93 + 4*x^92 + 2*x^91 + 4*x^90 + 3*x^89 + 2*x^88 + 2*x^85 + 3*x^84 + 2*x^83 + 2*x^81 + 3*x^80 + 2*x^79 + 2*x^78 + 3*x^77 + x^76 + 3*x^75 + x^73 + 2*x^71 + 2*x^70 + 2*x^69 + 4*x^67 + 3*x^65 + x^64 + 2*x^63 + 4*x^61 + 3*x^59 + 2*x^58 + 2*x^57 + x^56 + 2*x^55 + x^54 + 3*x^53 + 2*x^51 + x^50 + 3*x^49 + 4*x^46 + 2*x^45 + 2*x^44 + 2*x^43 + 3*x^42 + 3*x^41 + 2*x^40 + 3*x^37 + 2*x^36 + 4*x^35 + x^34 + 3*x^33 + 4*x^32 + 3*x^31 + x^28 + 2*x^27 + 2*x^26 + x^25 + 3*x^24 + 2*x^23 + 4*x^22 + x^21 + 2*x^20 + 4*x^19 + 2*x^18 + x^17 + 2*x^16 + 2*x^15 + 2*x^13 + 2*x^11 + 4*x^10 + 4*x^9 + 4*x^8 + 1 with shift constant 2 [2]: [125, 7, 95] Linear Code over GF(5) Shortening of [1] at { 126 } [3]: [99, 7, 73] Linear Code over GF(5) Puncturing of [2] at { 1, 2, 7, 10, 14, 25, 32, 34, 39, 43, 47, 49, 52, 53, 54, 58, 59, 64, 66, 70, 78, 93, 95, 102, 107, 113 } [4]: [95, 7, 69] Linear Code over GF(5) Puncturing of [3] at { 96 .. 99 } last modified: 20030708
Lb(95,7) = 69 is found by truncation of: Lb(100,7) = 74 MSY Ub(95,7) = 71 is found by considering shortening to: Ub(94,6) = 71 LP
MSY: T. Maruta, M. Shinohara, F. Yamane, K. Tsuji, E. Takata, H. Miki & R. Fujiwara, New linear codes from cyclic or generalized cyclic codes by puncturing, to appear in Proc. 10th International Workshop on Algebraic and Combinatorial Coding Theory(ACCT10) in Zvenigorod, Russia, 2006.
Notes
