Quasigroups as Boolean Functions, Their Equation Systems and Gröbner Bases

D. Gligoroski (), V. Dimitrova () and S. Markovski ()
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D. Gligoroski: Norwegian University of Science and Technology, Centre for Quantifiable Quality of Service in Communication Systems—Q2S
V. Dimitrova: Ss Cyril and Methodius University, Institute of Informatics, Faculty of Natural Sciences and Mathematics
S. Markovski: Ss Cyril and Methodius University, Institute of Informatics, Faculty of Natural Sciences and Mathematics

A chapter in Gröbner Bases, Coding, and Cryptography, 2009, pp 415-420 from Springer

Abstract: Abstract In this short note we represent quasigroups of order 2 n as vector valued Boolean functions f:{0,1}2n →{0,1} n . The representation of finite quasigroups as vector valued Boolean functions allows us systems of quasigroup equations to be solved by using Gröbner bases.

Keywords: Quasigroups; Boolean functions; Classifications (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/978-3-540-93806-4_31

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