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Syndrome decoding with MRHS solver.

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Název: Syndrome decoding with MRHS solver.
Autoři: Smičík, Miloslav1 pavol.zajac@stuba.sk, Zajac, Pavol1 miloslav.smicik@gmail.com
Zdroj: International Journal of Electronics & Telecommunications. 2025, Vol. 71 Issue 1, p79-85. 7p.
Témata: *CRYPTOGRAPHY, *EQUATIONS, *ALGORITHMS, *SYNDROMES, *PROBABILITY theory
Abstrakt: The syndrome decoding problem (SDP) is an NPcomplete problem that has important applications in the development of post-quantum cryptography. Currently, the most efficient algorithms for SDP are based on the Information Set Decoding (ISD) approach that leverages efficiently time-memory and probability trade-offs. In our contribution, we explore a different approach based on transforming an instance of the SDP problem into a so-called Multiple Right-Hand-Sides (MRHS) Equation system. The MRHS system is then solved with a specialized MRHS solver. We explore how difficult is to solve (small) instances of SDP in MRHS form, and which trade-offs and parametric selections lead to the best results. Although our practical results are worse than those obtained by ISD, we believe that they show a better understanding of the connection between SDP and its MRHS representation, and can be a basis for future improvements. [ABSTRACT FROM AUTHOR]
Databáze: Academic Search Index
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Abstrakt:The syndrome decoding problem (SDP) is an NPcomplete problem that has important applications in the development of post-quantum cryptography. Currently, the most efficient algorithms for SDP are based on the Information Set Decoding (ISD) approach that leverages efficiently time-memory and probability trade-offs. In our contribution, we explore a different approach based on transforming an instance of the SDP problem into a so-called Multiple Right-Hand-Sides (MRHS) Equation system. The MRHS system is then solved with a specialized MRHS solver. We explore how difficult is to solve (small) instances of SDP in MRHS form, and which trade-offs and parametric selections lead to the best results. Although our practical results are worse than those obtained by ISD, we believe that they show a better understanding of the connection between SDP and its MRHS representation, and can be a basis for future improvements. [ABSTRACT FROM AUTHOR]
ISSN:20818491
DOI:10.24425/ijet.2025.153547