Geodesic
Necessary condition for maximum component algebraic immunity of a~vectorial Boolean function
Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 30-32

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It is shown that if a vectorial Boolean function $F\colon\mathbb Z_2^n\to\mathbb Z_2^m$ has the maximum component algebraic immunity, then $m\leq2^{\lceil({n+1})/2\rceil}-1$.
Keywords: component algebraic immunity, vectorial Boolean function. 
@article{PDMA_2016_9_a11,
     author = {D. P. Pokrasenko},
     title = {Necessary condition for maximum component algebraic immunity of a~vectorial {Boolean} function},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {30--32},
     publisher = {mathdoc},
     number = {9},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2016_9_a11/}
}
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D. P. Pokrasenko. Necessary condition for maximum component algebraic immunity of a~vectorial Boolean function. Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 30-32. http://geodesic.mathdoc.fr/item/PDMA_2016_9_a11/