Pseudorandom Sequences from Elliptic Curves

P. H. T. Beelen () and J. M. Doumen ()
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P. H. T. Beelen: Technische Universiteit Eindhoven, Department of Mathematics and Computer Science
J. M. Doumen: Technische Universiteit Eindhoven, Department of Mathematics and Computer Science

A chapter in Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, 2002, pp 37-52 from Springer

Abstract: Abstract In this article we will generalize some known constructions to produce pseudorandom sequences with the aid of elliptic curves. We will make use of both additive and multiplicative characters on elliptic curves. Keywords are: Artin-Schreier extension, Kummer extension, elliptic curve, exponential sum, correlation, balance, linear recurrencies.

Keywords: Elliptic Curve; Finite Field; Elliptic Curf; Binary Sequence; Algebraic Curve (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_3

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DOI: 10.1007/978-3-642-59435-9_3

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