Add to ORKGOn supplementary difference sets Given a finite abelian group V and subsets S1, S2,...,Sn of V, write Ti for the totality of all the possible differences between elements of Si (with repetitions counted multiply) and T for the totality of members of all the Ti. If T contains each non-zero element of V the same number of times, then the sets S1, S2,...,Sn will be called supplementary difference sets. We discuss some properties for such sets, give some existence theorems and observe their use in the construction of Hadamard matrices and balanced incomplete block designs
AbstractWe present a recursive construction for difference sets which unifies the Hadamard, McFarlan...
relative difference sets, recursive, building sets, characters We recursively construct a new family...
Difference sets belong both to group theory and to combinatorics. Studying them requires tools from ...
Given a finite abelian group V and subsets S1, S2, ... ,Sn of V, write Ti for the totality of all th...
Let S1,S2 ,... ,Sn be subsets of V, a finite abelian group of order v written in additive notation, ...
Let S1, S2,···, Sn be subsets of G, a finite abelian group of order v, containing k1, k2,...,kn ele...
In this note we prove the non-existence of two types of partial difference sets in Abelian groups of...
AbstractA Hadamard difference set is a difference set with parameters of the form (v, k, λ, n) = (4m...
Xiang, QingDifference sets exist at the intersection of algebra and combinatorics, and are motivated...
AbstractWe present a construction of Hadamard difference sets in abelian groups of order 4p4n, whose...
This paper is primarily a study of difference sets in elementary abelian 2-groups. It is, however, s...
AbstractIn this paper we prove that an abelian group contains (22m+1(2m−1+1),2m(2m+1),2m)-difference...
It is known that relative difference sets with parameters (18,3,18,6) in a group of order 54 with no...
Abstract. This article introduces a new approach to studying difference sets via their additive prop...
AbstractLet G be a finite group of order v. A k-element subset D of G is called a (v,k, λ, μ)-partia...
AbstractWe present a recursive construction for difference sets which unifies the Hadamard, McFarlan...
relative difference sets, recursive, building sets, characters We recursively construct a new family...
Difference sets belong both to group theory and to combinatorics. Studying them requires tools from ...
Given a finite abelian group V and subsets S1, S2, ... ,Sn of V, write Ti for the totality of all th...
Let S1,S2 ,... ,Sn be subsets of V, a finite abelian group of order v written in additive notation, ...
Let S1, S2,···, Sn be subsets of G, a finite abelian group of order v, containing k1, k2,...,kn ele...
In this note we prove the non-existence of two types of partial difference sets in Abelian groups of...
AbstractA Hadamard difference set is a difference set with parameters of the form (v, k, λ, n) = (4m...
Xiang, QingDifference sets exist at the intersection of algebra and combinatorics, and are motivated...
AbstractWe present a construction of Hadamard difference sets in abelian groups of order 4p4n, whose...
This paper is primarily a study of difference sets in elementary abelian 2-groups. It is, however, s...
AbstractIn this paper we prove that an abelian group contains (22m+1(2m−1+1),2m(2m+1),2m)-difference...
It is known that relative difference sets with parameters (18,3,18,6) in a group of order 54 with no...
Abstract. This article introduces a new approach to studying difference sets via their additive prop...
AbstractLet G be a finite group of order v. A k-element subset D of G is called a (v,k, λ, μ)-partia...
AbstractWe present a recursive construction for difference sets which unifies the Hadamard, McFarlan...
relative difference sets, recursive, building sets, characters We recursively construct a new family...
Difference sets belong both to group theory and to combinatorics. Studying them requires tools from ...