English

On The Relationship between (16,6,3)-Designs and (25,12) Self-Orthogonal Codes

Combinatorics 2021-03-31 v1

Abstract

Binary self-orthogonal codes and balanced incomplete block designs are two combinatorial configurations that have been much studied because of their wide areas of application. In this paper, we have shown the distribution of (16; 6; 3)-designs in binary (25,12) self-orthogonal codes. The paper also presents the relationships among the codes with embedded designs.

Keywords

Cite

@article{arxiv.2103.16495,
  title  = {On The Relationship between (16,6,3)-Designs and (25,12) Self-Orthogonal Codes},
  author = {Navid Nasr Esfahani and G. H. John van Rees},
  journal= {arXiv preprint arXiv:2103.16495},
  year   = {2021}
}