Geodesic
Digit-polynomial construction of substitutions over Galois ring
Prikladnaya Diskretnaya Matematika. Supplement, no. 10 (2017), pp. 17-19

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

A new way for constructing substitutions over Galois ring is considered. The way uses functions with variational-digit polynomiality. The class of these functions over various rings was earlier defined in the author's works. The peculiarity of this class is that it contains a class of polynomial functions and, under certain conditions, does not coincide with it. The criterions for the bijectivity of a polynomial vector-function and for a polynomial function to be a substitution are generalized. The presented results make it possible, in particular, to construct non-polynomial $n$-quasigroups.
Mots-clés : substitutions
Keywords: $n$-quasigroups, bijective polynomial vector-function, functions with variational-digit polynomiality, digit set, Galois ring. 
@article{PDMA_2017_10_a4,
     author = {M. V. Zaets},
     title = {Digit-polynomial construction of substitutions over {Galois} ring},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {17--19},
     publisher = {mathdoc},
     number = {10},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2017_10_a4/}
}
TY  - JOUR
AU  - M. V. Zaets
TI  - Digit-polynomial construction of substitutions over Galois ring
JO  - Prikladnaya Diskretnaya Matematika. Supplement
PY  - 2017
SP  - 17
EP  - 19
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PDMA_2017_10_a4/
LA  - ru
ID  - PDMA_2017_10_a4
ER  - 
%0 Journal Article
%A M. V. Zaets
%T Digit-polynomial construction of substitutions over Galois ring
%J Prikladnaya Diskretnaya Matematika. Supplement
%D 2017
%P 17-19
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PDMA_2017_10_a4/
%G ru
%F PDMA_2017_10_a4
M. V. Zaets. Digit-polynomial construction of substitutions over Galois ring. Prikladnaya Diskretnaya Matematika. Supplement, no. 10 (2017), pp. 17-19. http://geodesic.mathdoc.fr/item/PDMA_2017_10_a4/