Nonlinear transformations based on complete classes of isomorphic and automorphic representations of field GF(256)

Mazurkov, M. I.; Sokolov, A. V.; Мазурков, Михаил Иванович; Соколов, Артем Викторович

eONPUIR
→
Інститут інформаційної безпеки, радіоелектроніки та телекомунікацій
→
Кафедра радіотехнічних систем
→
Статті каф. РТС
→
Посмотреть элемент

dc.contributor.author	Mazurkov, M. I.
dc.contributor.author	Sokolov, A. V.
dc.contributor.author	Мазурков, Михаил Иванович
dc.contributor.author	Соколов, Артем Викторович
dc.date.accessioned	2018-02-12T03:57:04Z
dc.date.available	2018-02-12T03:57:04Z
dc.date.issued	2013-11
dc.identifier.citation	Mazurkov, M. I. Nonlinear transformations based on complete classes of isomorphic and automorphic representations of field GF(256) / M. I. Mazurkov, A. V. Sokolov // Radioelectronics and Communications Systems. – 2013. – Vol. 56, N 11. - P. 513-521.	en
dc.identifier.citation	Mazurkov, M. I., Sokolov, A. V. (2013). Nonlinear transformations based on complete classes of isomorphic and automorphic representations of field GF(256). Radioelectronics and Communications Systems, Vol. 56, N 11, P. 513-521.	en
dc.identifier.issn	https://doi.org/10.20535/S0021347013110022
dc.identifier.issn	2307-6011 (Online)
dc.identifier.issn	0021-3470 (Print)
dc.identifier.issn	http://radioelektronika.org/article/view/S0735272713110022
dc.identifier.uri	http://dspace.opu.ua/jspui/handle/123456789/7038
dc.description.abstract	A complete class of maximum-period linear recurrent sequences (MLRS) of volume ψ = 55,296 based on all automorphic and isomorphic representations of the main GF(256) field has been built. Constructions of S-boxes based on MLRS and having length N = 256 with cryptographic properties as good as the Nyberg construction of Rijndael cipher have been proposed. The total number of substitution S-boxes synthesized by the constructive method amounts to \|S\| = 7.4518×10^16 that makes it possible to use them as a long-term key.	en
dc.language.iso	en_US	en
dc.subject	substitution S-box	en
dc.subject	automorphism	en
dc.subject	isomorphism	en
dc.subject	Galois fields	en
dc.title	Nonlinear transformations based on complete classes of isomorphic and automorphic representations of field GF(256)	en
dc.type	Article	en
opu.kafedra	Кафедра радіотехнічних систем	UK
opu.citation.journal	Radioelectronics and Communications Systems	en
opu.citation.volume	56	en
opu.citation.firstpage	513	en
opu.citation.lastpage	521	en
opu.citation.issue	11	en
opu.staff.id	sokolov.a.v@opu.ua	en