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Erschienen in:
2011 | OriginalPaper | Buchkapitel
On Some Cryptographic Properties of the Polynomial Quasigroups
verfasst von : Simona Samardjiska
Erschienen in: ICT Innovations 2010
Verlag: Springer Berlin Heidelberg
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A polynomial quasigroup is said to be a quasigroup that can be defined by a polynomial over a ring. The possibility for use of these quasigroups in cryptography mainly relies on their simple properties, easy construction and huge number. The quasigroup string transformations that are usually used in cryptographic primitives make use of the quasigroup operation as well as one of the parastrophic operations. That is why one of the most important questions posed about the polynomial quasigroups is the one concerning the nature of their parastrophic operations. In this paper we investigate the parastrophes of the polynomial quasigroups of order 2
w
and propose effective algorithm for finding them.