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Efficient Arithmetic in Successive Algebraic Extension Fields Using Symmetries

Efficient Arithmetic in Successive Algebraic Extension Fields Using Symmetries In this article, we present new results for efficient arithmetic operations in a number field K represented by successive extensions. These results are based on multi-modular and evaluation–interpolation techniques. We show how to use intrinsic symmetries in order to increase the efficiency of these techniques. Applications to splitting fields of univariate polynomials are presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematics in Computer Science Springer Journals

Efficient Arithmetic in Successive Algebraic Extension Fields Using Symmetries

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References (21)

Publisher
Springer Journals
Copyright
Copyright © 2012 by Springer Basel AG
Subject
Mathematics; Computer Science, general; Mathematics, general
ISSN
1661-8270
eISSN
1661-8289
DOI
10.1007/s11786-012-0112-y
Publisher site
See Article on Publisher Site

Abstract

In this article, we present new results for efficient arithmetic operations in a number field K represented by successive extensions. These results are based on multi-modular and evaluation–interpolation techniques. We show how to use intrinsic symmetries in order to increase the efficiency of these techniques. Applications to splitting fields of univariate polynomials are presented.

Journal

Mathematics in Computer ScienceSpringer Journals

Published: May 24, 2012

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