Geodesic
On nonlinearity of some Boolean functions with maximal algebraic immunity
Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 13-14.

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An estimation for nonlinearity of Dalai's Boolean functions with maximal possible algebraic immunity in even number of variables is given. It is proved that the estimation is achieved. 
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     author = {N. A. Kolomeec},
     title = {On nonlinearity of some {Boolean} functions with maximal algebraic immunity},
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N. A. Kolomeec. On nonlinearity of some Boolean functions with maximal algebraic immunity. Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 13-14. http://geodesic.mathdoc.fr/item/PDMA_2012_5_a4/

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[3] Dalai D.K., Maitra S., Sarkar S., “Basic Theory in Construction of Boolean Functions with Maximum Possible Annihilator Immunity”, Designs, Codes and Cryptography, 40:1 (2006), 41–58 | DOI | MR | Zbl