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Finite Fields and Their Applications
Article
License: Elsevier Non-Commercial
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Finite Fields and Their Applications
Article . 2001
License: Elsevier Non-Commercial
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Finite Fields and Their Applications
Article . 2001 . Peer-reviewed
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zbMATH Open
Article . 2001
Data sources: zbMATH Open
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Permutation Polynomials Modulo 2w

Permutation polynomials modulo \(2^w\)
Authors: Rivest, Ronald L.;

Permutation Polynomials Modulo 2w

Abstract

The author explicitly characterizes permutation polynomials modulo \(2^n\) for \(n\geq 2\). In addition, he proves that pairs of polynomials defining a pair of orthogonal Latin squares (modulo \(2^n\)) do not exist.

Related Organizations
Keywords

Algebra and Number Theory, multipermutation., Applied Mathematics, permutation polynomials, permutation polynomial, Polynomials over finite fields, Theoretical Computer Science, orthogonal Latin squares, Orthogonal arrays, Latin squares, Room squares, latin square, finite field, Polynomials in general fields (irreducibility, etc.), Engineering(all)

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    65
    popularity
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    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
65
Top 10%
Top 1%
Average
hybrid