An improvement on Weil bounds for character sums of polynomials over finite fields

DOI10.1007/S12095-024-00706-1MaRDI QIDQ6587221

Qin Yue, Ziling Heng, Fengwei Li, Fanhui Meng

Publication date: 13 August 2024

Published in: Cryptography and Communications (Search for Journal in Brave)

zbMATH Keywords

character sumWeil bound

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24)

Cites Work

• Index bounds for character sums of polynomials over finite fields
• An improvement to the Hasse-Weil bound and applications to character sums, cryptography and coding
• Improvements of the Weil bound for Artin-Schreier curves
• On permutation polynomials of prescribed shape
• A note on character sums with polynomial arguments.
• Bounds for exponential sums over finite fields
• Further improvement on index bounds
• Binary and ternary sequences with a few cross correlations
• Cyclotomy and permutation polynomials of large indices
• A Gauss sum estimate in arbitrary finite fields
• Several classes of exponential sums and three-valued Walsh spectrums over finite fields
• Constructions of near MDS codes which are optimal locally recoverable codes
• ESTIMATION OF SOME EXPONENTIAL SUM BY MEANS OF q-DEGREE
• Bounds of Gauss sums in finite fields
• Three Families of Monomial Functions With Three-Valued Walsh Spectrum
• Cyclotomic Mapping Permutation Polynomials over Finite Fields
• ESTIMATES FOR THE NUMBER OF SUMS AND PRODUCTS AND FOR EXPONENTIAL SUMS IN FIELDS OF PRIME ORDER
• New Extension of the Weil Bound for Character Sums with Applications to Coding
• Constructions of cyclic codes and extended primitive cyclic codes with their applications

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