Geodesic
On algebraic immunity of vector Boolean functions
Prikladnaya Diskretnaya Matematika. Supplement, no. 8 (2015), pp. 37-39 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper, the component algebraic immunity of vector Boolean functions is studied. A theorem on a correspondence between the maximum component algebraic immunity of a function and its balancedness is proven. A relationship between the maximum component algebraic immunity and matrices of a special form is obtained. For a small number of variables, some functions with maximum component algebraic immunity are constructed.
Keywords: component algebraic immunity, vector Boolean function, balancedness. 
@article{PDMA_2015_8_a14,
     author = {D. P. Pokrasenko},
     title = {On algebraic immunity of vector {Boolean} functions},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {37--39},
     year = {2015},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2015_8_a14/}
}
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D. P. Pokrasenko. On algebraic immunity of vector Boolean functions. Prikladnaya Diskretnaya Matematika. Supplement, no. 8 (2015), pp. 37-39. http://geodesic.mathdoc.fr/item/PDMA_2015_8_a14/