lower bound: | 120 |
upper bound: | 127 |
Construction of a linear code [201,10,120] over GF(3): [1]: [242, 10, 153] Cyclic Linear Code over GF(3) CyclicCode of length 242 with generating polynomial x^232 + x^231 + 2*x^230 + x^229 + x^228 + x^226 + 2*x^223 + 2*x^222 + 2*x^221 + x^220 + 2*x^219 + x^218 + x^217 + x^215 + x^214 + x^213 + 2*x^212 + 2*x^211 + x^209 + 2*x^208 + 2*x^207 + 2*x^206 + 2*x^203 + 2*x^201 + x^199 + x^198 + 2*x^197 + x^196 + x^195 + x^194 + x^193 + 2*x^192 + 2*x^191 + 2*x^187 + 2*x^185 + x^184 + 2*x^183 + 2*x^181 + 2*x^180 + x^177 + 2*x^173 + 2*x^172 + x^171 + x^170 + x^169 + x^167 + x^166 + x^165 + 2*x^163 + x^161 + 2*x^160 + x^159 + x^158 + x^157 + 2*x^156 + x^152 + x^151 + 2*x^149 + x^144 + x^142 + 2*x^140 + x^139 + 2*x^137 + 2*x^135 + x^134 + 2*x^133 + x^132 + 2*x^131 + x^130 + x^129 + x^124 + 2*x^123 + 2*x^122 + x^120 + 2*x^118 + x^117 + x^115 + x^114 + x^108 + 2*x^107 + 2*x^106 + 2*x^105 + x^104 + x^103 + 2*x^102 + 2*x^101 + 2*x^99 + 2*x^98 + 2*x^97 + x^96 + x^94 + 2*x^93 + x^92 + 2*x^91 + 2*x^89 + 2*x^88 + x^87 + x^86 + 2*x^84 + 2*x^83 + 2*x^82 + x^81 + x^79 + x^78 + 2*x^76 + x^75 + 2*x^74 + x^73 + 2*x^72 + x^71 + 2*x^70 + x^67 + x^66 + 2*x^65 + 2*x^64 + x^63 + 2*x^62 + x^58 + 2*x^57 + 2*x^56 + 2*x^55 + x^54 + 2*x^51 + x^48 + x^47 + 2*x^44 + x^43 + 2*x^41 + 2*x^39 + x^35 + 2*x^33 + x^32 + 2*x^31 + 2*x^30 + x^29 + 2*x^27 + x^25 + 2*x^23 + 2*x^21 + x^20 + x^19 + x^17 + 2*x^16 + x^13 + x^12 + x^11 + 2*x^8 + 2*x^5 + x^4 + x^3 + x^2 + x + 1 [2]: [201, 10, 120] Linear Code over GF(3) Puncturing of [1] at { 2, 4, 6, 9, 10, 12, 14, 16, 17, 29, 30, 34, 37, 38, 48, 52, 57, 60, 68, 71, 86, 96, 98, 103, 104, 116, 121, 126, 137, 141, 146, 150, 161, 168, 175, 178, 205, 215, 219, 235, 242 } last modified: 2006-09-01
Lb(201,10) = 120 MSY Ub(201,10) = 127 is found by considering truncation to: Ub(200,10) = 126 Da2
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(ACCT-10) in Zvenigorod, Russia, 2006.
Notes
|