Quasigroups generated by shift registers and Feistel networks
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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

Quasigroups generated by shift registers and Feistel networks

DOI:https://doi.org/10.56415/qrs.v31.16
CZU: 512.548+519.716.3
MSC 2010: 20N05, 05B15

Pag. 207-220

Chakrabarti Sucheta1, Galatenko Alexei2, Nosov Valentin2, Pankratiev Anton2, Tiwari Sharwan K.1
 
1 Scientific Analysis Group (SAG),
2 Lomonosov Moscow State University
 
 
Disponibil în IBN: 21 aprilie 2024


Rezumat

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.

Cuvinte-cheie
quasigroup, orthomorphism, feedback shift register, Feistel network