Incomplete Additive Character Sums and Applications

Arne Winterhof ()
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Arne Winterhof: Österreichische Akademie der Wissenschaften, Institut für Diskrete Mathematik

A chapter in Finite Fields and Applications, 2001, pp 462-474 from Springer

Abstract: Abstract We prove some bounds on incomplete additive character sums of polynomials over finite fields. We also apply results on incomplete additive character sums to get a distribution property of irreducible polynomials, we estimate the maximum running digital sums of some dc-constrained codes, and we describe a variant of Waring’s problem in finite fields.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-56755-1_35

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DOI: 10.1007/978-3-642-56755-1_35

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