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ON FINDING SOLUTIONS TO EXPONENTIAL CONGRUENCES

Part of: Theory of computing Finite fields and commutative rings (number-theoretic aspects) Computational number theory Diophantine equations

Published online by Cambridge University Press:  27 December 2018

IGOR E. SHPARLINSKI Open the ORCID record for IGOR E. SHPARLINSKI [Opens in a new window]
IGOR E. SHPARLINSKI*
Affiliation:
Department of Pure Mathematics, University of New South Wales, Sydney, NSW 2052, Australia email [email protected]
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Abstract

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We improve some previously known deterministic algorithms for finding integer solutions $x,y$ to the exponential equation of the form $af^{x}+bg^{y}=c$ over finite fields.

Keywords

exponential equationalgorithmfinite field

MSC classification

Primary: 11D61: Exponential equations
Secondary: 11T71: Algebraic coding theory; cryptography 11Y16: Algorithms; complexity 68Q25: Analysis of algorithms and problem complexity
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 99 , Issue 3 , June 2019 , pp. 388 - 391
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

Footnotes

During the preparation of this work, the author was supported in part by the Australian Research Council Grant DP170100786.

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