An improvement to the Hasse-Weil bound and applications to character sums, cryptography and coding

DOI10.1016/j.aim.2017.01.011zbMath1361.11043arXiv1505.01700OpenAlexW2963237416MaRDI QIDQ509671

Ronald Cramer, Xing, Chaoping

Publication date: 17 February 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01700

zbMATH Keywords

nonlinearityabelian varietiescharacter sumszeta functionalgebraic curvespointscodes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Abelian varieties of dimension (> 1) (11G10) Curves over finite and local fields (11G20) Exponential sums (11T23)

Related Items (2)

Index bounds for character sums of polynomials over finite fields ⋮ Further improvement on index bounds

Uses Software

• Code Tables

Cites Work

• Improvements of the Weil bound for Artin-Schreier curves
• Generalized Hamming weights of trace codes
• New Extension of the Weil Bound for Character Sums with Applications to Coding
• Abelian varieties over finite fields
• Die Hasse-Witt-Invariante eines Kongruenzfunktionenkörpers
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