List decoding of maximal order codes over number fields

DOI10.1016/j.ffa.2023.102311OpenAlexW4387531432MaRDI QIDQ6185629

Mohammad Javad Nikmehr, Hassan Khodaiemehr, Nasim Abdi Kourani

Publication date: 8 January 2024

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2023.102311

zbMATH Keywords

Arakelov divisorlist decodingalgebraic codeunit codenumber field code

Mathematics Subject Classification ID

Other number fields (11R21) Algebraic number theory computations (11Y40) Lattice packing and covering (number-theoretic aspects) (11H31) Decoding (94B35) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• Improved decoding of Reed-Solomon and algebraic-geometry codes
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• Improved asymptotic bounds for error-correcting codes
• Finding smooth integers in short intervals using CRT decoding
• Finding smooth integers in short intervals using CRT decoding

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