On a Riemann hypothesis analogue for selfdual weight enumerators of genus less than 3

DOI10.1016/j.dam.2007.11.002zbMath1151.14317OpenAlexW2001243452MaRDI QIDQ947120

Shigeto Nishimura

Publication date: 29 September 2008

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2007.11.002

zbMATH Keywords

Riemann hypothesis analoguezeta function for linear codes

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Other types of codes (94B60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items

A Riemann hypothesis analogue for near-MDS codes

Cites Work

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• Algebraic function fields and codes
• An abundance of invariant polynomials satisfying the Riemann hypothesis
• Extremal weight enumerators and ultraspherical polynomials.
• Weight distributions of geometric Goppa codes
• Efficient decoding of Z/sub p/k-linear codes
• From weight enumerators to zeta functions

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