Cyclic Group Projection for Enumerating Quasi-Cyclic Codes Trapping Sets
Information Theory
2024-01-29 v1 Machine Learning
math.IT
Abstract
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
Cite
@article{arxiv.2401.14810,
title = {Cyclic Group Projection for Enumerating Quasi-Cyclic Codes Trapping Sets},
author = {Vasiliy Usatyuk and Yury Kuznetsov and Sergey Egorov},
journal= {arXiv preprint arXiv:2401.14810},
year = {2024}
}
Comments
7 pages, 3 tables