论文标题
超简单$（V，5,2）$定向设计及其最小的定义集，并在LDPC代码中应用
Super-simple $(v,5,2)$ directed designs and their smallest defining sets with its application in LDPC codes
论文作者
论文摘要
在本文中，我们表明，对于所有$ v \ equiv 0,1 $（mod 5）和$ v \ geq 15 $，存在一个超简单$（v，5,2）$定向的设计，对于这些参数也存在超级简单$（v，5,2）$的指向设计，以至于其最小的定义集包含其块的一半的一半。另外，我们表明这些设计可用于构建LDPC代码的奇偶校验检查矩阵。
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.
