Threshold Selection for Iterative Decoding of (v,w)-regular Binary Codes

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Název: Threshold Selection for Iterative Decoding of (v,w)-regular Binary Codes
Autoři: Alessandro Annechini, Alessandro Barenghi, Gerardo Pelosi
Přispěvatelé: A. Anastasopoulos, V. Tan, M. Wigger, M. Wilde, Annechini, Alessandro, Barenghi, Alessandro, Pelosi, Gerardo
Informace o vydavateli: IEEE
USA
Rok vydání: 2025
Sbírka: RE.PUBLIC@POLIMI - Research Publications at Politecnico di Milano
Témata: Cryptography, Post-quantum Cryptography, code-based KEM, Bit-flipping Decoding Algorithm, Computer Security
Popis: Iterative bit flipping decoders are an efficient and effective choice for decoding codes which admit a sparse parity-check matrix. Among these, sparse (v,w)-regular codes, which include LDPC and MDPC codes, are of particular interest both for efficient data correction and the design of cryptographic primitives. Throughout the iterative decoding process, the bit flipping thresholds can be determined either statically or during the decoder execution, by using information coming from the initial syndrome value and its updates. In this work, we analyze a two-iterations parallel hard decision bit flipping decoder and propose concrete criteria for threshold determination, backed by a closed form model. In doing so, we introduce a new tightly fitting model for the distribution of the Hamming weight of the syndrome after the first decoder iteration and substantial improvements on the decoding failure rate (DFR) estimation with respect to existing approaches.
Druh dokumentu: conference object
Popis souboru: ELETTRONICO
Jazyk: English
Relation: info:eu-repo/semantics/altIdentifier/isbn/979-8-3315-4399-0; info:eu-repo/semantics/altIdentifier/isbn/979-8-3315-4400-3; ispartofbook:IEEE International Symposium on Information Theory, ISIT 2025, Ann Arbor, Michigan, USA, June 22-27, 2025; IEEE International Symposium on Information Theory (ISIT 2025); firstpage:1; lastpage:6; numberofpages:6; alleditors:A. Anastasopoulos, V. Tan, M. Wigger, M. Wilde; https://hdl.handle.net/11311/1289632; https://doi.org/10.1109/ISIT63088.2025.11195438
DOI: 10.1109/ISIT63088.2025.11195438
Dostupnost: https://hdl.handle.net/11311/1289632
https://doi.org/10.1109/ISIT63088.2025.11195438
Rights: info:eu-repo/semantics/openAccess
Přístupové číslo: edsbas.5CD4A50C
Databáze: BASE
Popis
Abstrakt:Iterative bit flipping decoders are an efficient and effective choice for decoding codes which admit a sparse parity-check matrix. Among these, sparse (v,w)-regular codes, which include LDPC and MDPC codes, are of particular interest both for efficient data correction and the design of cryptographic primitives. Throughout the iterative decoding process, the bit flipping thresholds can be determined either statically or during the decoder execution, by using information coming from the initial syndrome value and its updates. In this work, we analyze a two-iterations parallel hard decision bit flipping decoder and propose concrete criteria for threshold determination, backed by a closed form model. In doing so, we introduce a new tightly fitting model for the distribution of the Hamming weight of the syndrome after the first decoder iteration and substantial improvements on the decoding failure rate (DFR) estimation with respect to existing approaches.
DOI:10.1109/ISIT63088.2025.11195438