lower bound: | 147 |
upper bound: | 150 |
Construction of a linear code [234,9,147] over GF(3): [1]: [242, 10, 153] Cyclic Linear Code over GF(3) CyclicCode of length 242 with generating polynomial x^232 + 2*x^231 + 2*x^230 + x^228 + x^227 + x^226 + 2*x^225 + x^224 + x^223 + x^221 + x^218 + 2*x^217 + x^216 + 2*x^214 + x^212 + x^211 + 2*x^209 + 2*x^208 + x^207 + 2*x^206 + 2*x^205 + 2*x^204 + 2*x^203 + x^202 + 2*x^200 + x^198 + 2*x^196 + x^195 + x^192 + x^191 + x^190 + 2*x^187 + x^186 + 2*x^185 + x^182 + x^181 + 2*x^179 + x^178 + x^177 + x^174 + x^171 + x^170 + 2*x^169 + x^168 + 2*x^167 + x^166 + x^165 + x^164 + x^163 + 2*x^159 + x^158 + x^157 + x^156 + x^155 + 2*x^154 + 2*x^153 + 2*x^151 + x^150 + x^149 + 2*x^148 + x^147 + 2*x^145 + 2*x^144 + 2*x^142 + 2*x^140 + 2*x^139 + x^138 + x^137 + x^136 + x^135 + 2*x^133 + x^132 + x^131 + x^130 + x^129 + 2*x^128 + x^127 + 2*x^126 + 2*x^124 + 2*x^123 + 2*x^122 + 2*x^121 + x^119 + x^118 + 2*x^117 + 2*x^116 + x^115 + x^113 + x^110 + 2*x^108 + x^106 + x^103 + 2*x^102 + 2*x^101 + 2*x^99 + x^98 + 2*x^97 + 2*x^96 + x^95 + 2*x^94 + 2*x^93 + 2*x^92 + x^91 + x^89 + x^88 + x^85 + x^83 + x^81 + 2*x^80 + 2*x^78 + 2*x^76 + x^75 + 2*x^74 + x^71 + x^66 + x^65 + 2*x^62 + 2*x^61 + 2*x^60 + 2*x^59 + x^58 + x^56 + x^55 + x^53 + x^52 + x^51 + x^49 + x^47 + 2*x^45 + 2*x^44 + 2*x^42 + x^39 + x^38 + x^36 + 2*x^35 + 2*x^34 + 2*x^33 + x^31 + 2*x^30 + 2*x^28 + 2*x^27 + 2*x^25 + x^24 + x^23 + 2*x^22 + 2*x^21 + 2*x^19 + 2*x^18 + 2*x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + 2*x^9 + 2*x^8 + x^6 + 2*x^3 + x^2 + 1 [2]: [241, 9, 153] Linear Code over GF(3) Shortening of [1] at { 242 } [3]: [234, 9, 147] Linear Code over GF(3) Puncturing of [2] at { 68, 102, 120, 131, 144, 170, 220 } last modified: 2007-07-30
Lb(234,9) = 146 is found by shortening of: Lb(236,11) = 146 is found by truncation of: Lb(243,11) = 153 XBC Ub(234,9) = 150 is found by considering truncation to: Ub(233,9) = 149 Gur
XBC: Extended BCH code.
Notes
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