Geodesic
Disjoint difference families from Galois rings
Koji Momihara1
1Kumamoto University
The electronic journal of combinatorics, Tome 24 (2017) no. 3
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

In this paper, we give new constructions of disjoint difference families from Galois rings. The constructions are based on choosing cosets of the unit group of a subring in the Galois ring $\mathrm{GR}(p^2,p^{2s})$. Two infinite families of disjoint difference families are obtained from the Galois rings $\mathrm{GR}(p^{2},p^{4n})$ and $\mathrm{GR}(2^2,2^{2s})$.
DOI : 10.37236/6006
Classification : 12E20, 05B10
Mots-clés : disjoint difference family, difference set, Galois ring

Koji Momihara  1

1 Kumamoto University 
@article{10_37236_6006,
     author = {Koji Momihara},
     title = {Disjoint difference families from {Galois} rings},
     journal = {The electronic journal of combinatorics},
     year = {2017},
     volume = {24},
     number = {3},
     doi = {10.37236/6006},
     zbl = {1423.12002},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/6006/}
}
TY  - JOUR
AU  - Koji Momihara
TI  - Disjoint difference families from Galois rings
JO  - The electronic journal of combinatorics
PY  - 2017
VL  - 24
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.37236/6006/
DO  - 10.37236/6006
ID  - 10_37236_6006
ER  - 
%0 Journal Article
%A Koji Momihara
%T Disjoint difference families from Galois rings
%J The electronic journal of combinatorics
%D 2017
%V 24
%N 3
%U http://geodesic.mathdoc.fr/articles/10.37236/6006/
%R 10.37236/6006
%F 10_37236_6006
Koji Momihara. Disjoint difference families from Galois rings. The electronic journal of combinatorics, Tome 24 (2017) no. 3. doi: 10.37236/6006

Cité par Sources :