Geodesic
On the approximation of discrete functions by linear functions
Matematičeskie voprosy kriptografii, Tome 7 (2016), pp. 29-50

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

A review of many results on planar, perfect and almost perfect functions is given. Mixing property of PN-functions is proved, new necessary conditions for APN-functions over the field $F_2$ with even number of arguments $n$ are found. A notion of the planar functions on quasigroups is introduced and criterion of planarity of quasigroup mapping is proved. 
@article{MVK_2016_7_a2,
     author = {M. M. Glukhov},
     title = {On the approximation of discrete functions by linear functions},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {29--50},
     publisher = {mathdoc},
     volume = {7},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2016_7_a2/}
}
TY  - JOUR
AU  - M. M. Glukhov
TI  - On the approximation of discrete functions by linear functions
JO  - Matematičeskie voprosy kriptografii
PY  - 2016
SP  - 29
EP  - 50
VL  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MVK_2016_7_a2/
LA  - ru
ID  - MVK_2016_7_a2
ER  - 
%0 Journal Article
%A M. M. Glukhov
%T On the approximation of discrete functions by linear functions
%J Matematičeskie voprosy kriptografii
%D 2016
%P 29-50
%V 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MVK_2016_7_a2/
%G ru
%F MVK_2016_7_a2
M. M. Glukhov. On the approximation of discrete functions by linear functions. Matematičeskie voprosy kriptografii, Tome 7 (2016), pp. 29-50. http://geodesic.mathdoc.fr/item/MVK_2016_7_a2/