Algebraic immunity upper bound for some Dillon's bent functions | Applied Discrete Mathematics. Supplement. 2013. № 6.

HomeIssuesAlgebraic immunity upper bound for some Dillon's bent functions | Applied Discrete Mathematics. Supplement. 2013. № 6.

Algebraic immunity upper bound for some Dillon's bent functions

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.

Download file
Counter downloads: 237

Keywords

булева функция, нелинейность, бент-функция, алгебраическая иммунность, Boolean function, nonlinearity, bent function, algebraic immunity

Authors

NameOrganizationE-mail
Filyuzin S. Y.Novosibirsk State Universityforgogu@inbox.ru
Всего: 1

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 | Applied Discrete Mathematics. Supplement. 2013. № 6.

Algebraic immunity upper bound for some Dillon's bent functions | Applied Discrete Mathematics. Supplement. 2013. № 6.