Geodesic
Disjoint difference families from Galois rings
Koji Momihara1
1Kumamoto University
The electronic journal of combinatorics, Tome 24 (2017) no. 3

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Zbl
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 
Koji Momihara. Disjoint difference families from Galois rings. The electronic journal of combinatorics, Tome 24 (2017) no. 3. doi: 10.37236/6006
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     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/}
}
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