On new multivariate cryptosystems with nonlinearity gap

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 and degree of F⁻¹ is bounded from below by cⁿ, c>1. We...

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Bibliographic Details
Date:2017
Main Author: Ustimenko, V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2017
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/156037
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On new multivariate cryptosystems with nonlinearity gap / V. Ustimenko // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 331-348. — Бібліогр.: 20 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine