On the maximal component algebraic immunity of vectorial Boolean functions


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Abstract

Under study is the component algebraic immunity of vectorial Boolean functions. We prove a theorem on the correspondence between the maximal component algebraic immunity of a function and its balancedness. Some relationship is obtained between the maximal component algebraic immunity and matrices of a special form. We construct several functions with maximal component algebraic immunity in case of few variables.

About the authors

D. P. Pokrasenko

Novosibirsk State University

Author for correspondence.
Email: pokrasenko.d.p@gmail.com
Russian Federation, ul. Pirogova 2, Novosibirsk, 630090

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