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arXiv · 2007.13743

Super-simple $(v,5,2)$ directed designs and their smallest defining sets with its application in LDPC codes

M. Mohammadnezhad·S. Golalizadeh·M. Boostan·N. Soltankhah
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Abstract

In this paper, we show that for all $v\equiv 0,1$ (mod 5) and $v\geq 15$, there exists a super-simple $(v,5,2)$ directed design, also for these parameters there exists a super-simple $(v,5,2)$ 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.

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M. Mohammadnezhad, S. Golalizadeh, M. Boostan, N. Soltankhah. 2022-07-12. Super-simple $(v,5,2)$ directed designs and their smallest defining sets with its application in LDPC codes. https://arxiv.org/abs/2007.13743

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