An estimation for the nonlinearity of Dalai's Boolean functions with the maximal algebraic immunity in even number of variables is given. It is proved that the estimation is achieved.
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- Title An upper bound for the nonlinearity of some Boolean functions with maximal possible algebraic immunity
- Headline An upper bound for the nonlinearity of some Boolean functions with maximal possible algebraic immunity
- Publesher
Tomsk State University
- Issue Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics 1(19)
- Date:
- DOI
Keywords
algebraic immunity, nonlinearity, Boolean functions, алгебраическая иммунность, нелинейность, булевы функцииAuthors
References
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Лобанов М. С. Точное соотношение между нелинейностью и алгебраической иммунностью // Дискретная математика. 2006. Вып. 18. №3. С. 152-159.
Dalai D.K., Maitra S., and Sarkar S. Basic theory in construction of Boolean functions with maximum possible annihilator immunity // Designs, Codes and Cryptography. 2006. V. 40. Iss. 1. P. 41-58.
Meier W, Pasalic E., and Carlet C. Algebraic attacks and decomposition of Boolean functions // LNCS. 2004. V. 3027. P. 474-491.
Courtois N. and Meier W. Algebraic attacks on stream ciphers with liner feedback // LNCS. 2003. V. 2656. P. 345-359.

An upper bound for the nonlinearity of some Boolean functions with maximal possible algebraic immunity | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2013. № 1(19).
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