Continued Fractions for Certain Algebraic Power Series over a Finite Field

Alain Lasjaunias ()
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Alain Lasjaunias: CNRS-UMR 5465, Université de Bordeaux I

A chapter in Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, 2002, pp 220-228 from Springer

Abstract: Abstract In this survey we discuss rational approximation properties of certain algebraic power series over a finite field using continued fractions. These algebraic elements are fixed points of the composition of a linear fractional transformation and of the Frobenius homomorphism.

Keywords: Power Series; Finite Field; Diophantine Approximation; Linear Fractional Transformation; Continue Fraction Expansion (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_17

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DOI: 10.1007/978-3-642-59435-9_17

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