Necessary condition for maximum component algebraic immunity of a vectorial boolean function | Applied Discrete Mathematics. Supplement. 2016. № 9.

Necessary condition for maximum component algebraic immunity of a vectorial boolean function

It is shown that if a vectorial Boolean function F : Zn ^ Z^" has the maximum component algebraic immunity, then m ^ 2^^ - 1.

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Keywords

component algebraic immunity, vectorial Boolean function, векторная булева функция, компонентная алгебраическая иммунность

Authors

Name	Organization	E-mail
Pokrasenko D. P.	Novosibirsk State University	pokrasenko.d.p@gmail.com

Всего: 1

References

Meier W, Pasalic E., and Carlet C. Algebraic attacks and decomposition of Boolean functions // Eurocrypt 2004. LNCS. 2004. V.3027. P. 474-491.

Carlet C. On the algebraic immunities and higher order nonlinearities of vectorial Boolean functions // Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes, 2009. P. 104-116.

Courtois N. and Meier W. Algebraic attacks on stream ciphers with linear feedback // Eurocrypt 2003. LNCS. 2003. V. 2656. P. 345-359.

Pokrasenko D. On the maximal component algebraic immunity of vectorial Boolean functions // J. Appl. Industr. Math. 2016. V. 10. P. 257-263.