Geodesic
Barriers of perfectly balanced Boolean functions
Diskretnaya Matematika, Tome 22 (2010) no. 2, pp. 66-79.

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

We continue the study of properties of perfectly balanced Boolean functions with the use of the concept of barriers of Boolean functions. 
@article{DM_2010_22_2_a5,
     author = {S. V. Smyshlyaev},
     title = {Barriers of perfectly balanced {Boolean} functions},
     journal = {Diskretnaya Matematika},
     pages = {66--79},
     publisher = {mathdoc},
     volume = {22},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2010_22_2_a5/}
}
TY  - JOUR
AU  - S. V. Smyshlyaev
TI  - Barriers of perfectly balanced Boolean functions
JO  - Diskretnaya Matematika
PY  - 2010
SP  - 66
EP  - 79
VL  - 22
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_2010_22_2_a5/
LA  - ru
ID  - DM_2010_22_2_a5
ER  - 
%0 Journal Article
%A S. V. Smyshlyaev
%T Barriers of perfectly balanced Boolean functions
%J Diskretnaya Matematika
%D 2010
%P 66-79
%V 22
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_2010_22_2_a5/
%G ru
%F DM_2010_22_2_a5
S. V. Smyshlyaev. Barriers of perfectly balanced Boolean functions. Diskretnaya Matematika, Tome 22 (2010) no. 2, pp. 66-79. http://geodesic.mathdoc.fr/item/DM_2010_22_2_a5/

[1] Logachev O. A., Smyshlyaev S. V., Yaschenko V. V., “Novye metody izucheniya sovershenno uravnoveshennykh bulevykh funktsii”, Diskretnaya matematika, 21:2 (2009), 51–74 | MR

[2] Logachev O. A., “Ob odnom klasse sovershenno uravnoveshennykh bulevykh funktsii”, Materialy 3-i Mezhdunarodnoi nauchnoi konferentsii po problemam bezopasnosti i protivodeistviya terrorizmu, MTsNMO, Moskva, 2008, 137–141

[3] Preparata F. P., “Convolutional transformations of binary sequences: Boolean functions and their resynchronizing properties”, IEEE Trans. Electron. Comput., 15:6 (1966), 898–909 | DOI

[4] Sumarokov S. N., “Zaprety dvoichnykh funktsii i obratimost dlya odnogo klassa kodiruyuschikh ustroistv”, Obozrenie prikladnoi i promyshlennoi matematiki, 1:1 (1994), 33–55 | MR | Zbl

[5] Logachev O. A., Salnikov A. A., Yaschenko V. V., Bulevy funktsii v teorii kodirovaniya i kriptologii, MTsNMO, Moskva, 2004

[6] Golić D. J., “On the security of nonlinear filter generators”, Lecture Notes Computer Sci., 1039, 1996, 173–188

[7] Smyshlyaev S. V., “O nekotorykh svoistvakh sovershenno uravnoveshennykh bulevykh funktsii”, Materialy 4-i Mezhdunarodnoi nauchnoi konferentsii po problemam bezopasnosti i protivodeistviya terrorizmu, MTsNMO, Moskva, 2009, 57–64