Geodesic
Property of Kasami bent functions multiple derivatives
Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 32-34.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that every bent function Kasami of degree $t\geq4$ has $(t-3)$-multiple non-zero derivative in the direction of any linearly independent vectors. 
@article{PDMA_2012_5_a16,
     author = {A. A. Frolova},
     title = {Property of {Kasami} bent functions multiple derivatives},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {32--34},
     publisher = {mathdoc},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2012_5_a16/}
}
TY  - JOUR
AU  - A. A. Frolova
TI  - Property of Kasami bent functions multiple derivatives
JO  - Prikladnaya Diskretnaya Matematika. Supplement
PY  - 2012
SP  - 32
EP  - 34
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PDMA_2012_5_a16/
LA  - ru
ID  - PDMA_2012_5_a16
ER  - 
%0 Journal Article
%A A. A. Frolova
%T Property of Kasami bent functions multiple derivatives
%J Prikladnaya Diskretnaya Matematika. Supplement
%D 2012
%P 32-34
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PDMA_2012_5_a16/
%G ru
%F PDMA_2012_5_a16
A. A. Frolova. Property of Kasami bent functions multiple derivatives. Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 32-34. http://geodesic.mathdoc.fr/item/PDMA_2012_5_a16/

[1] Tokareva N. N., Nelineinye bulevy funktsii: bent-funktsii i ikh obobscheniya, LAP LAMBERT Academic Publishing, Saarbrucken, Germany, 2011

[2] Carlet C., “Boolean Functions for Cryptography and Error Correcting Codes”, Chapter of the monograph, Boolean Methods and Models, eds. P. Hammer, Y. Crama, Cambridge Univ. Press (to appear) http://www-rocq.inria.fr/secret/Claude.Carlet/chap-fcts-Bool.pdf

[3] Langevin P., Leander G., “Monomial Bent Function and Stickelberger's Theorem”, Finite Fields and Their Applications, 14 (2008), 727–742 | DOI | MR | Zbl

[4] Dillon J. F., Dobbertin H., “New cyclic difference sets with Singer parameters”, Finite Fields and Their Applications, 10 (2004), 342–389 | DOI | MR | Zbl

[5] Sharma D., Gangopadhyay S., On Kasami Bent Function, Cryptology ePrint Archive, Report 2008/426 http://eprint.iacr.org