Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Ustimenko, V. A."'
Autor:
Shaska, T., Ustimenko, V.
Publikováno v:
In Linear Algebra and Its Applications 2009 430(7):1826-1837
Продолжается модернизация школьного математического образования. В связи с этим возникла потребность по-новому взглянуть на изучение
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3041::b9c353e46582577a2a3e37d4f6aefeff
https://rep.vsu.by/handle/123456789/39136
https://rep.vsu.by/handle/123456789/39136
Autor:
Ustimenko, V.
The pair of families of bijective multivariate maps of kind Fn and Fn⁻¹ on affine space Kⁿ over finite commutative ring K given in their standard forms has a nonlinearity gap if the degree of Fn is bounded from above by independent constant d an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______1456::b76ab752eb6f2f6d922b519ccb84d2c7
http://dspace.nbuv.gov.ua/handle/123456789/156037
http://dspace.nbuv.gov.ua/handle/123456789/156037
Autor:
Ustimenko, V.1 vasyl@golem.umcs.lublin.pl
Publikováno v:
Journal of Mathematical Sciences. Jan2007, Vol. 140 Issue 3, p461-471. 11p.
The International Algebraic Conference dedicated to the 100th anniversary of an outstanding mathematician and teacher, the founder of Algebra and Mathematical Logic Department of Taras Shevchenko National University of Kyiv Professor L.A. Kaluzhnin w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______1456::acd62876c343adcc3314e5c7af344278
http://dspace.nbuv.gov.ua/handle/123456789/152790
http://dspace.nbuv.gov.ua/handle/123456789/152790
Autor:
Ustimenko, V.
We propose some multivariate cryptosystems based on finite BN-pair G defined over the fields Fq. We convert the adjacency graph for maximal flags of the geometry of group G into a finite Tits automaton by special colouring of arrows and treat the lar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______1456::c3a55cfe862c1a766b9f81457aff69e3
http://dspace.nbuv.gov.ua/handle/123456789/152794
http://dspace.nbuv.gov.ua/handle/123456789/152794
Autor:
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 t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______1456::3e4a3790b4520a16801b884e09364154
http://dspace.nbuv.gov.ua/handle/123456789/158006
http://dspace.nbuv.gov.ua/handle/123456789/158006
Autor:
Romańczuk-Polubiec, U., Ustimenko, V.
The concept of multivariate bijective map of an affine space Kn over commutative Ring K was already used in Cryptography. We consider the idea of nonbijective multivariate polynomial map Fn of Kn into Kn represented as ''partially invertible decompos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______1456::af61521137f4728dc13e33da3e776bd7
http://dspace.nbuv.gov.ua/handle/123456789/152793
http://dspace.nbuv.gov.ua/handle/123456789/152793
Autor:
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 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 so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______1456::a692f31e087c9296a53abf3c79da4e13
http://dspace.nbuv.gov.ua/handle/123456789/154900
http://dspace.nbuv.gov.ua/handle/123456789/154900