Geodesic
On the maximal component algebraic immunity of vectorial Boolean functions
Diskretnyj analiz i issledovanie operacij, Tome 23 (2016) no. 2, pp. 88-99

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The component algebraic immunity of vectorial Boolean functions is studied. We prove a theorem on the correspondence between the maximum component algebraic immunity of a function and its balancedness. Some relationship between the maximal component algebraic immunity and matrices of a special form is obtained. We construct several functions with maximal component algebraic immunity in case of few variables. Tab. 1, bibliogr. 8.
Keywords: component algebraic immunity, vectorial Boolean function, balancedness. 
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     author = {D. P. Pokrasenko},
     title = {On the maximal component algebraic immunity of vectorial {Boolean} functions},
     journal = {Diskretnyj analiz i issledovanie operacij},
     pages = {88--99},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DA_2016_23_2_a4/}
}
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D. P. Pokrasenko. On the maximal component algebraic immunity of vectorial Boolean functions. Diskretnyj analiz i issledovanie operacij, Tome 23 (2016) no. 2, pp. 88-99. http://geodesic.mathdoc.fr/item/DA_2016_23_2_a4/