lower bound:  73 
upper bound:  87 
Construction of a linear code [213,30,73] over GF(2): [1]: [233, 30, 88] Cyclic Linear Code over GF(2) CyclicCode of length 233 with generating polynomial x^203 + x^202 + x^200 + x^199 + x^197 + x^196 + x^195 + x^191 + x^190 + x^187 + x^183 + x^182 + x^178 + x^175 + x^172 + x^171 + x^167 + x^164 + x^161 + x^160 + x^159 + x^157 + x^155 + x^152 + x^151 + x^150 + x^147 + x^144 + x^143 + x^141 + x^140 + x^139 + x^136 + x^135 + x^132 + x^127 + x^125 + x^123 + x^122 + x^120 + x^115 + x^111 + x^108 + x^107 + x^104 + x^103 + x^102 + x^101 + x^100 + x^98 + x^96 + x^95 + x^92 + x^88 + x^85 + x^81 + x^80 + x^77 + x^73 + x^72 + x^71 + x^69 + x^64 + x^63 + x^52 + x^50 + x^44 + x^40 + x^39 + x^36 + x^31 + x^27 + x^26 + x^25 + x^23 + x^20 + x^19 + x^17 + x^16 + x^15 + x^14 + x^12 + x^9 + x^6 + x^5 + x^3 + x^2 + x + 1 [2]: [213, 30, 73] Linear Code over GF(2) Puncturing of [1] at { 31, 33, 48, 55, 65, 90, 95, 104, 123, 125, 145, 154, 158, 183, 189, 191, 200, 204, 224, 228 } last modified: 20210831
Lb(213,30) = 72 is found by taking a subcode of: Lb(213,32) = 72 is found by lengthening of: Lb(212,32) = 72 is found by adding a parity check bit to: Lb(211,32) = 71 XB Ub(213,30) = 87 is found by considering shortening to: Ub(212,29) = 87 BK
XB:
Notes
