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Lietuvos Matematikos Rinkinys
Article . 2018 . Peer-reviewed
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Lietuvos Matematikos Rinkinys
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Lietuvos Matematikos Rinkinys
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Article . 2018
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On the associativity property of MPF over M16

Authors: Mihalkovich, Aleksejus; Vilniaus universitetas;

On the associativity property of MPF over M16

Abstract

The objective of this paper is to find suitable non-commuting algebraic structure to be used as a platform structure in the so-called matrix power function (MPF). We think it is non-trivial and interesting problem could be useful for candidate one-way function (OWF) construction with application in cryptography. Since the cornerstone of OWF construction using non-commuting algebraic structures is the satisfiability of certain associativity conditions, we consider one of the possible choices, i.e. the group M16, explore its basic properties and construct templates to use in our future work. 

Country
Lithuania
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Keywords

vienkryptė funkcija, QA1-939, Cryptography, matrix power function (MPF), matricinio laipsnio funkcija, nekomutatyvios algebrinės struktūros, one-way function (OWF), Mathematics, non-commuting algebraic structures

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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!
4
Average
Average
Average
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gold