2019/10/29 by Vedrana Mikulić Crnković, Crnković, Vedrana Mikulić, Ivona Traunkar +1
Mathematics · #05E18 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05E18
paper · pdf · doi:10.48550/arxiv.1910.13133
arxiv created 2021/09/20 · arxiv updated 2021/09/21
In this paper we generalize the construction of binary self-orthogonal codes obtained from weakly self-orthogonal designs described by Tonchev in [12] in order to obtain self-orthogonal codes over an arbitrary field. We extend construction self-orthogonal codes from orbit matrices of self-orthogonal designs and weakly self-orthogonal 1-designs such that block size is odd and block intersection numbers are even described in [5]. Also, we generalize mentioned construction in order to obtain self-orthogonal codes over an arbitrary field. We construct weakly self-orthogonal designs invariant under an action of Mathieu group M11 and, from them, binary self-orthogonal codes.