On algebraic graph theory and non-bijectivemultivariate maps in cryptography
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...
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| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2015 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2015
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/158006 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-158006 |
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dspace |
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irk-123456789-1580062019-06-23T01:24:56Z On algebraic graph theory and non-bijectivemultivariate maps in cryptography Ustimenko, V. 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. 2015 Article 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 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Ustimenko, V. |
| spellingShingle |
Ustimenko, V. On algebraic graph theory and non-bijectivemultivariate maps in cryptography Algebra and Discrete Mathematics |
| author_facet |
Ustimenko, V. |
| author_sort |
Ustimenko, V. |
| title |
On algebraic graph theory and non-bijectivemultivariate maps in cryptography |
| title_short |
On algebraic graph theory and non-bijectivemultivariate maps in cryptography |
| title_full |
On algebraic graph theory and non-bijectivemultivariate maps in cryptography |
| title_fullStr |
On algebraic graph theory and non-bijectivemultivariate maps in cryptography |
| title_full_unstemmed |
On algebraic graph theory and non-bijectivemultivariate maps in cryptography |
| title_sort |
on algebraic graph theory and non-bijectivemultivariate maps in cryptography |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/158006 |
| citation_txt |
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. |
| series |
Algebra and Discrete Mathematics |
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AT ustimenkov onalgebraicgraphtheoryandnonbijectivemultivariatemapsincryptography |
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2023-05-20T17:53:44Z |
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2023-05-20T17:53:44Z |
| _version_ |
1796154341561729024 |