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Index bounds for character sums with polynomials over finite fields
July 03, 2015 Β· Declared Dead Β· π Des. Codes Cryptogr.
"No code URL or promise found in abstract"
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Authors
Daqing Wan, Qiang Wang
arXiv ID
1507.00988
Category
math.NT
Cross-listed
cs.IT
Citations
10
Venue
Des. Codes Cryptogr.
Last Checked
4 months ago
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.
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