Quasigroups generated by shift registers and Feistel networks
Article Type
Research Article
Publication Title
Quasigroups and Related Systems
Abstract
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.
First Page
207
Last Page
220
DOI
https://10.56415/qrs.v31.16
Publication Date
1-1-2023
Recommended Citation
Chakrabarti, Sucheta; Galatenko, Alexei V.; Nosov, Valentin A.; Pankratiev, Anton E.; and Tiwari, Sharwan K., "Quasigroups generated by shift registers and Feistel networks" (2023). Journal Articles. 3912.
https://digitalcommons.isical.ac.in/journal-articles/3912