lower bound:  73 
upper bound:  91 
Construction of a linear code [231,39,73] over GF(2): [1]: [255, 45, 87] Cyclic Linear Code over GF(2) CyclicCode of length 255 with generating polynomial x^210 + x^209 + x^207 + x^205 + x^199 + x^194 + x^192 + x^191 + x^190 + x^185 + x^183 + x^182 + x^180 + x^178 + x^175 + x^174 + x^173 + x^168 + x^167 + x^166 + x^162 + x^159 + x^157 + x^156 + x^153 + x^150 + x^144 + x^142 + x^141 + x^140 + x^137 + x^136 + x^133 + x^132 + x^131 + x^130 + x^129 + x^128 + x^127 + x^125 + x^121 + x^118 + x^117 + x^116 + x^115 + x^114 + x^108 + x^107 + x^105 + x^104 + x^103 + x^100 + x^99 + x^98 + x^97 + x^95 + x^94 + x^93 + x^85 + x^83 + x^80 + x^77 + x^76 + x^75 + x^71 + x^70 + x^69 + x^68 + x^67 + x^64 + x^61 + x^60 + x^59 + x^58 + x^57 + x^55 + x^54 + x^49 + x^48 + x^46 + x^45 + x^43 + x^37 + x^33 + x^32 + x^30 + x^29 + x^28 + x^27 + x^22 + x^20 + x^18 + x^14 + x^12 + x^9 + x^8 + x^6 + x^5 + 1 [2]: [249, 39, 87] Linear Code over GF(2) Shortening of [1] at { 1, 2, 3, 4, 5, 6 } [3]: [231, 39, 73] Linear Code over GF(2) Puncturing of [2] at { 54, 55, 59, 80, 92, 115, 141, 142, 153, 164, 189, 208, 211, 222, 224, 234, 247, 248 } last modified: 20210830
Lb(231,39) = 72 is found by shortening of: Lb(232,40) = 72 BZ Ub(231,39) = 91 is found by considering shortening to: Ub(229,37) = 91 is found by considering truncation to: Ub(228,37) = 90 is found by construction B: [consider deleting the (at most) 12 coordinates of a word in the dual]
Notes
