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Cyclic Group Projection for Enumerating Quasi-Cyclic Codes Trapping Sets

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arxiv 2401.14810 v1 pith:V5DDINE4 submitted 2024-01-26 cs.IT cs.LGmath.IT

Vasiliy Usatyuk , Yury Kuznetsov , Sergey Egorov This is my paper · ORCID
classification cs.ITcs.LGmath.IT
keywords quasi-cyclicsetstrappingcodesprojectionapproachassessbehavior
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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

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  1. Kohn-Sham Spectral Embedding on Sparse Graphs at the Nishimori Temperature for Image Classification

    cs.LG 2026-07 reject novelty 6.0 of 10

    KSSE maps frozen CNN features onto QC-LDPC graphs and does Nishimori-temperature spectral embedding, reporting 88.93% ImageNet-1K Top-1 under a transductive protocol with ~21M parameters.

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