Traces of Hecke operators and refined weight enumerators of Reed-Solomon codes

DOI10.1090/tran/7089zbMath1441.94111arXiv1506.04440OpenAlexW3103167651MaRDI QIDQ3130777

Ian N. Petrow, Nathan Kaplan

Publication date: 29 January 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04440

zbMATH Keywords

elliptic curveweight enumeratorReed-Solomon codestrace of Hecke operatorsMacWilliams theorem

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items

Distribution of moments of Hurwitz class numbers in arithmetic progressions and holomorphic projection ⋮ On the first negative Hecke eigenvalue of an automorphic representation of \(\mathrm{GL}_2(\mathbb{A}_\mathbb{Q})\) ⋮ Counting plane cubic curves over finite fields with a prescribed number of rational intersection points ⋮ Weight enumerators of Reed-Muller codes from cubic curves and their duals

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