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SM ISO690:2012 CHAKRABARTI, Sucheta, GALATENKO, Alexei, NOSOV, Valentin, PANKRATIEV, Anton, TIWARI, Sharwan K.. Quasigroups generated by shift registers and Feistel networks. In: Quasigroups and Related Systems, 2023, vol. 31, nr. 2, pp. 207-220. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v31.16 |
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Quasigroups and Related Systems | ||||||
Volumul 31, Numărul 2 / 2023 / ISSN 1561-2848 | ||||||
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DOI:https://doi.org/10.56415/qrs.v31.16 | ||||||
CZU: 512.548+519.716.3 | ||||||
MSC 2010: 20N05, 05B15 | ||||||
Pag. 207-220 | ||||||
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Formula-based specification of large quasigroups with the use of complete mappings over Abelian groups is investigated. Complete mappings specified by generalized feedback registers and generalized Feistel networks are considered. In both cases criteria for the mapping completeness are established. A procedure for uniform sampling of quasigroups induced by complete mappings under study is suggested. The classes of quasigroups generated by generalized feedback shift registers or generalized Feistel networks and by the permutation construction applied to proper families of functions are shown to be disjoint. |
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Cuvinte-cheie quasigroup, orthomorphism, feedback shift register, Feistel network |
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