English

New self-dual codes of length 72

Information Theory 2017-05-17 v1 math.IT

Abstract

In this paper we obtain at least 61 new singly even (Type I) binary [72,36,12] self-dual codes as a quasi-cyclic codes with m=2 (tailbitting convolutional codes) and at least 13 new doubly even (Type II) binary [72,36,12] self-dual codes by replacing the first row in each circulant in a double circulant code by "all ones" and "all zeros" vectors respectively.

Keywords

Cite

@article{arxiv.1705.05779,
  title  = {New self-dual codes of length 72},
  author = {Alexandre Zhdanov},
  journal= {arXiv preprint arXiv:1705.05779},
  year   = {2017}
}