Mar 19, 2008 · In this paper we point out that when m is even and γ is not a cube in L then c k γ is the characteristic function of a difference set in the ...
Mar 19, 2008 · This rather curious property of the set D actually means that any two of its translates in G have exactly λ elements in common ...
Difference sets are used to generate designs, as described by [4] and [9]. D will be called an Almost Difference set (ADS) if λ1 and λ2 differ by 1. The reason ...
Apr 26, 2016 · This notation compactly and algebraically expresses the definition of a difference set.
Feb 7, 2016 · Abstract:We prove that for any finite set A of real numbers its difference set D:=A-A has large product set and quotient set, namely, |DD|, ...
difference set (G, D) is an automorphism of G such that D0=Da for some a of. G. Most of the known theorems for cyclic difference sets carry over to the.
A symmetric difference set is a DDS with. 21 = 22, so the ADS are "almost" difference sets. Symmetric difference sets are becoming more and more difficult to ...
We show that such groups have Schur rings with four principal sets, and that, further, these difference sets determine DRADs. Keywords: Difference set, subgroup ...
Sep 5, 2016 · These sets are sometimes called MSTD-sets (for "more sums than differences"). ... Are there any "nontrivial" sets with small difference sets?
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Note that relative difference sets and almost difference sets are special cases of divisible difference sets. ... More DD difference sets. Article. Dec 2008.