On algebraic graph theory and non-bijective multivariate maps in cryptography
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On algebraic graph theory and non-bijective multivariate 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 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. |
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| Date |
2019-06-16T06:07:36Z
2019-06-16T06:07:36Z 2015 |
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| Type |
Article
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| Identifier |
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.
1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/154900 |
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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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