On algebraic graph theory and non-bijectivemultivariate maps in cryptography
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On algebraic graph theory and non-bijectivemultivariate maps in cryptography
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| Creator |
Ustimenko, V.
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| Description |
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. The “hidden RSA cryptosystem” is proposed. Similar construction is suggested for the case Ωn = Zm*ⁿ.
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| Date |
2019-06-22T12:34:11Z
2019-06-22T12:34:11Z 2015 |
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| Type |
Article
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| Identifier |
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.
1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/158006 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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