Tracing Bit Differences in Strings Transformed By Linear Quasigroups of order 4

Mihova, Marija and Markovski, Smile and Siljanoska, Maja (2012) Tracing Bit Differences in Strings Transformed By Linear Quasigroups of order 4. In: Proceedings of the Nineth Conference on Informatics and Information Technology. Faculty of Computer Science and Engineering, Ss. Cyril and Methodius University in Skopje, Macedonia, Skopje, Macedonia, pp. 229-233. ISBN 978-608-4699-01-9

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Abstract

Quasigroups are simple algebraic structures whose application in cryptography is increasing rapidly, however not all quasigroups are suitable for cryptographic purposes. In this paper we investigate how a change of one bit in an input binary string affects the strings obtained by applying E-transformation as a multilevel encryptor based on linear quasigroups of order 4. We define a Boolean presentation of quasigroups and we show that for quasigroups of order 4 their Boolean presentations are of degree at most 2. We also give some properties for linear quasigroups and show that using these properties the number of linear quasigroups of order 4 can be easily computed.

Item Type: Book Section
Subjects: International Conference on Informatics and Information Technologies > Security and Cryptography
Depositing User: Vangel Ajanovski
Date Deposited: 28 Oct 2016 00:15
Last Modified: 28 Oct 2016 00:15
URI: http://eprints.finki.ukim.mk/id/eprint/11190

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