Quasigroups generated by shift registers and Feistel networks.

Autor: Chakrabarti, Sucheta, Galatenko, Alexei V., Nosov, Valentin A., Pankratiev, Anton E., Tiwari, Sharwan K.
Předmět:
Zdroj: Quasigroups & Related Systems; 2023, Vol. 31 Issue 2, p207-220, 14p
Abstrakt: Formula-based specification of large quasigroups with the use of complete mappings over Abelian groups is investigated. Complete mappings specified by generalized feedbacκ 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 feedbacκ shift registers or generalized Feistel networks and by the permutation construction applied to proper families of functions are shown to be disjoint. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index