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Algebraic immunity upper bound for some Dillon's bent functions | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2013. № 6 (Приложение).

An upper bound for the algebraic immunity of some Dillon's bent functions is obtained. It is shown that for k = 2, 3,..., 8 the degree for Tu and Deng's function in 2 variables used in the Dillon's method for constructing bent functions of the maximum algebraic immunity equals k — 1.
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  • Title Algebraic immunity upper bound for some Dillon's bent functions
  • Headline Algebraic immunity upper bound for some Dillon's bent functions
  • Publesher Tomask State UniversityTomsk State University
  • Issue Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics 6 (Приложение)
  • Date:
  • DOI
Keywords
булева функция, нелинейность, бент-функция, алгебраическая иммунность, Boolean function, nonlinearity, bent function, algebraic immunity
Authors
References
Dillon J. F. Elementary Hadamard difference sets. Ph. D. Thesis. Univ. of Maryland, 1974.
Tu Z. and Deng Y. A conjecture about binary strings and its applications on constructing Boolean functions with optimal algebraic immunity // Designs, Codes and Cryptography. 2011. V.60. Iss. 1. P. 1-14.
Algebraic immunity upper bound for some Dillon's bent functions | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2013. № 6 (Приложение).
Algebraic immunity upper bound for some Dillon's bent functions | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2013. № 6 (Приложение).
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