Super-simple $(v,5,2)$ directed designs and their smallest defining sets with its application in LDPC codes
Combinatorics
2022-07-13 v2
Abstract
In this paper, we show that for all (mod 5) and , there exists a super-simple directed design, also for these parameters there exists a super-simple directed design such that its smallest defining sets contain at least half of its blocks. Also, we show that these designs are useful in constructing parity-check matrices of LDPC codes.
Keywords
Cite
@article{arxiv.2007.13743,
title = {Super-simple $(v,5,2)$ directed designs and their smallest defining sets with its application in LDPC codes},
author = {M. Mohammadnezhad and S. Golalizadeh and M. Boostan and N. Soltankhah},
journal= {arXiv preprint arXiv:2007.13743},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1508.00098