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http://hdl.handle.net/20.500.12188/19879| Title: | Cryptographic properties of parastrophic quasigroup transformation | Authors: | Popovska Mitrovikj, Aleksandra Bakeva, Verica Dimitrova, Vesna Krapež, Aleksandar |
Keywords: | quasigroup, parastrophic quasigroup transformations, cryptographic properties | Issue Date: | 12-Sep-2012 | Publisher: | Springer, Berlin, Heidelberg | Conference: | International Conference on ICT Innovations | Abstract: | In this paper, we consider cryptographic properties of parastrophic quasigroup transformation defined elsewhere. With that transformation we classify the quasigroups of order 4 in three classes: 1) parastrophic fractal; 2) fractal and parastrophic non-fractal; and 3) nonfractal. We investigate the algebraic properties of the previous classes and present a connection between fractal properties and algebraic properties of quasigroups of order 4. Also, we find a number of different parastrophes of each quasigroup of order 4 and divide the set of all quasigroups of order 4 in 4 classes. Using these classifications the number of quasigroups of order 4 which are suitable for designing of cryptographic primitives is increased. | URI: | http://hdl.handle.net/20.500.12188/19879 |
| Appears in Collections: | Faculty of Computer Science and Engineering: Conference papers |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Cryptographic_Properties_of_Parastrophic.pdf | 130.41 kB | Adobe PDF | View/Open |
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