On algebraic graph theory and non-bijectivemultivariate maps in cryptography

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2015
• 1. Verfasser: Ustimenko, V.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2015
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/158006
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On algebraic graph theory and non-bijectivemultivariate maps in cryptography / V. Ustimenko // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 1. — С. 152–170. — Бібліогр.: 33 назв. — англ.

Special family of non-bijective multivariate maps Fn of Zmⁿ into itself is constructed for n = 2,3, ... and composite m.The map F 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. Th...