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Index bounds for character sums with polynomials over finite fields
- Publication Year :
- 2015
-
Abstract
- We provide an index bound for character sums of polynomials over finite fields. This improves the Weil bound for high degree polynomials with small indices, as well as polynomials with large indices that are generated by cyclotomic mappings of small indices. As an application, we also give some general bounds for numbers of solutions of some Artin-Schreier equations and mininum weights of some cyclic codes.
- Subjects :
- Mathematics - Number Theory
Computer Science - Information Theory
11T24
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1507.00988
- Document Type :
- Working Paper