Further improvement on index bounds

Yansheng Wu; Yoonjin Lee; Qiang Wang

doi:10.1007/s10623-021-00987-0

Further improvement on index bounds

Yansheng Wu, Yoonjin Lee, Qiang Wang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper we obtain further improvement of index bounds for character sums of polynomials over finite fields. We present some examples, which show that our new bound is an improved bound compared to both the Weil bound and the index bound given by Wan and Wang. As an application, we give an estimation of the number of all the solutions of some algebraic curves by using our result.

Original language	English
Pages (from-to)	2813-2821
Number of pages	9
Journal	Designs, Codes, and Cryptography
Volume	90
Issue number	12
DOIs	https://doi.org/10.1007/s10623-021-00987-0
State	Published - Dec 2022

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

Character sum
Index bound
Polynomial
Weil bound

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10.1007/s10623-021-00987-0

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abstract = "In this paper we obtain further improvement of index bounds for character sums of polynomials over finite fields. We present some examples, which show that our new bound is an improved bound compared to both the Weil bound and the index bound given by Wan and Wang. As an application, we give an estimation of the number of all the solutions of some algebraic curves by using our result.",

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Further improvement on index bounds

Abstract

Bibliographical note

Keywords

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