Cyclic Group Projection for Enumerating Quasi-Cyclic Codes Trapping Sets
Vasiliy Usatyuk Yury Kuznetsov Sergey Egorov
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