On algebraic graph theory and non-bijective multivariate maps in cryptography

dc.contributor.author	Ustimenko, V.
dc.date.accessioned	2019-06-16T06:07:36Z
dc.date.available	2019-06-16T06:07:36Z
dc.date.issued	2015
dc.identifier.citation	On algebraic graph theory and non-bijective multivariate maps in cryptography / V. Ustimenko // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 152-170. — Бібліогр.: 33 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/154900
dc.description.abstract	Special family of non-bijective multivariate maps Fn of Zmⁿ into itself is constructed for n=2,3,… and composite m. The map Fn is injective on Ωn={x\|x₁+x₂+…xn ∈ Zm∗} and solution of the equation Fn(x)=b,x∈Ωn can be reduced to the solution of equation zr=α, z∈Zm∗, (r,ϕ(m))=1. The ``hidden RSA cryptosystem'' is proposed. Similar construction is suggested for the case Ωn=Zm∗ⁿ.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On algebraic graph theory and non-bijective multivariate maps in cryptography	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA