Quasigroups as boolean functions, their equation systems and Gröbner bases

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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. © 2009 Springer-Verlag Berlin Heidelberg.

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Gligoroski, D., Dimitrova, V., & Markovski, S. (2009). Quasigroups as boolean functions, their equation systems and Gröbner bases. In Gröbner Bases, Coding, and Cryptography (pp. 415–420). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-93806-4_31

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