On Divisibility of Exponential Sums over Finite Fields of Characteristic 2

F. N. Castro and O. Moreno
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F. N. Castro: University of Puerto Rico, Department of Mathematics
O. Moreno: University of Puerto Rico, Department of Mathematics

A chapter in Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, 2002, pp 70-79 from Springer

Abstract: Abstract Moreno-Moreno’s result and the covering method give estimates on the 2-divisibility of the number of solutions of a system of polynomial equations. Let us call μ the order of the 2-divisibility given by Moreno-Moreno’s result and μ′ that of the covering method. In 2000 we proved that μ′ ≥ μ. In this present paper we give general conditions under which μ′ > μ. We also give some results concerning the tightness of the covering method.

Keywords: Boolean Function; Polynomial Equation; Finite Field; Code Theory; Covering Method (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59435-9_5

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DOI: 10.1007/978-3-642-59435-9_5

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