On properties of the set of values of an arbitrary vector boolean function | Applied Discrete Mathematics. Supplement. 2015. № 8.

On properties of the set of values of an arbitrary vector boolean function

For an arbitrary vector Boolean function F : Fn ^ Fn, some sufficient conditions that {F(x) ф F(x ф a) : x, a е Fn} = Fn are stated. This result is applied to researching metrical properties of APN functions

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Keywords

APN-функция, дифференциально 5-равномерная функция, векторная булева функция, APN function, differentially 5-uniform function, vector Boolean function

Authors

NameOrganizationE-mail
Shushuev G.I.Institute of Mathematics. Sobolev SB RAS (Novosibirsk)g.shushuev@gmail.com
Всего: 1

References

Шушуев Г. И. Векторные булевы функции на расстоянии один от APN-функций // Прикладная дискретная математика. Приложение. 2014. № 7. С. 36-37.
Biham E. and Shamir A. Differential cryptoanalysis of DES-like cryptosystems // J. Cryptology. 1991. No. 4. P. 3-72.
Beth T. and Ding C. On almost perfect nonlinear permutations // LNCS. 1994. V. 765. P. 65-76.
Nyberg K. Differentially uniform mappings for cryptography // LNCS. 1994. V. 765. P. 55-64.
 On properties of the set of values of an arbitrary vector boolean function | Applied Discrete Mathematics. Supplement. 2015. № 8.

On properties of the set of values of an arbitrary vector boolean function | Applied Discrete Mathematics. Supplement. 2015. № 8.

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