Geodesic
On a secondary construction of quadratic APN functions
Prikladnaya Diskretnaya Matematika. Supplement, no. 13 (2020), pp. 37-39

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

Almost perfect nonlinear functions possess the optimal resistance to the differential cryptanalysis and are widely studied. Most known constructions of APN functions are obtained as functions over finite fields $\mathbb{F}_{2^n}$ and very little is known about combinatorial constructions in $\mathbb{F}_2^n$. We consider how to obtain a quadratic APN function in $n+1$ variables from a given quadratic APN function in $n$ variables using special restrictions on new terms.
Keywords: vectorial Boolean function, APN function, quadratic function, secondary construction. 
@article{PDMA_2020_13_a10,
     author = {K. V. Kalgin and V. A. Idrisova},
     title = {On a secondary construction of quadratic {APN} functions},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {37--39},
     publisher = {mathdoc},
     number = {13},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2020_13_a10/}
}
TY  - JOUR
AU  - K. V. Kalgin
AU  - V. A. Idrisova
TI  - On a secondary construction of quadratic APN functions
JO  - Prikladnaya Diskretnaya Matematika. Supplement
PY  - 2020
SP  - 37
EP  - 39
IS  - 13
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PDMA_2020_13_a10/
LA  - en
ID  - PDMA_2020_13_a10
ER  - 
%0 Journal Article
%A K. V. Kalgin
%A V. A. Idrisova
%T On a secondary construction of quadratic APN functions
%J Prikladnaya Diskretnaya Matematika. Supplement
%D 2020
%P 37-39
%N 13
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PDMA_2020_13_a10/
%G en
%F PDMA_2020_13_a10
K. V. Kalgin; V. A. Idrisova. On a secondary construction of quadratic APN functions. Prikladnaya Diskretnaya Matematika. Supplement, no. 13 (2020), pp. 37-39. http://geodesic.mathdoc.fr/item/PDMA_2020_13_a10/