Geodesic
On nonlinearity of some Boolean functions with maximal algebraic immunity
Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 13-14 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{PDMA_2012_5_a4,
     author = {N. A. Kolomeec},
     title = {On nonlinearity of some {Boolean} functions with maximal algebraic immunity},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {13--14},
     year = {2012},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2012_5_a4/}
}
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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/

[1] Courtois N., Meier W., “Algebraic Attacks on Stream Ciphers with Linear Feedback”, LNCS, 2656, 2003, 345–359 | MR | Zbl

[2] Meier W., Pasalic E., Carlet C., “Algebraic Attacks and Decomposition of Boolean Functions”, LNCS, 3027, 2004, 474–491 | MR | Zbl

[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