This paper introduces a novel approach to enumerate and assess Trapping sets in quasi-cyclic codes, those with circulant sizes that are non-prime numbers. Leveraging the quasi-cyclic properties, the method employs a tabular technique to streamline the importance sampling step for estimating the pseudo-codeword weight of Trapping sets. The presented methodology draws on the mathematical framework established in the provided theorem, which elucidates the behavior of projection and lifting transformations on pseudo-codewords
翻译:本文提出了一种新颖的方法来枚举和评估准循环码(具有非素数循环矩阵大小的码)中的陷阱集。该方法利用准循环特性,采用表格技术简化重要性采样步骤,以估计陷阱集的伪码字权重。所提出的方法论基于已建立定理的数学框架,该定理阐明了投影和提升变换对伪码字行为的作用。