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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Дискретные функции
On a secondary construction of quadratic APN functions
K. V. Kalginabc, V. A. Idrisovaa a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk
c Novosibirsk State University
Аннотация:
Almost perfect nonlinear functions possess the optimal resistance to the differential cryptanalysis and are widely studied. Most known constructions of APN functions are obtained as functions over finite fields $\mathbb{F}_{2^n}$ and very little is known about combinatorial constructions in $\mathbb{F}_2^n$. We consider how to obtain a quadratic APN function in $n+1$ variables from a given quadratic APN function in $n$ variables using special restrictions on new terms.
Ключевые слова:
vectorial Boolean function, APN function, quadratic function, secondary construction.
Образец цитирования:
K. V. Kalgin, V. A. Idrisova, “On a secondary construction of quadratic APN functions”, ПДМ. Приложение, 2020, no. 13, 37–39
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/pdma491 https://www.mathnet.ru/rus/pdma/y2020/i13/p37
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Страница аннотации: | 105 | PDF полного текста: | 37 | Список литературы: | 10 |
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