Tiling Groups with Difference Sets (CROSBI ID 219469)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Ćustić, Ante ; Krčadinac, Vedran ; Zhou, Yue
engleski
Tiling Groups with Difference Sets
We study tilings of groups with mutually disjoint difference sets. Some necessary existence conditions are proved and shown not to be sufficient. In the case of tilings with two difference sets we show the equivalence to skew Hadamard difference sets, and prove that they must be normalized if the group is abelian. Furthermore, we present some constructions of tilings based on cyclotomy and investigate tilings consisting of Singer difference sets.
Difference set ; Tiling
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Podaci o izdanju
22 (2)
2015.
P2.56
13
objavljeno
1097-1440
1077-8926
10.37236/5157