AbstractLet R be an abelian (pa, pb, pa, pa−b)-difference set in G relative to N. The main results in this paper are the following:•if = = 2 and is odd, then is elementary abelian;•we characterize relative difference sets with = 2 and = 1;•the exponent of is at most ;•if is odd and is odd, then the exponent is at most
Linear codes over GF(5) are utilized for the construction of a reversible abelian Hadamard differenc...
Motivated by a connection between semi-regular relative difference sets and mutually unbiased bases,...
AbstractLinear codes overGF(5) are utilized for the construction of a reversible abelian Hadamard di...
This paper is primarily a study of difference sets in elementary abelian 2-groups. It is, however, s...
It is known that relative difference sets with parameters (18,3,18,6) in a group of order 54 with no...
AbstractUsing cohomology we show that in studying the existence of an abelian non-splitting (4 t, 2,...
AbstractA Hadamard difference set is a difference set with parameters of the form (v, k, λ, n) = (4m...
AbstractWe present a construction of Hadamard difference sets in abelian groups of order 4p4n, whose...
Xiang, QingDifference sets exist at the intersection of algebra and combinatorics, and are motivated...
AbstractGeneralizing a result of Ko and Ray-Chaudhuri (Discrete Math. 39 (1982), 37–58), we show the...
AbstractIt is shown that a group extensions approach to central relative (k+1,k-1,k,1)-difference se...
AbstractNon-affine groups acting doubly transitively on a Hadamard matrix have been classified by It...
It is shown that a group extensions approach to central relative (k + 1, k - 1 k, 1)-difference sets...
AbstractWe prove an exponent bound for relative difference sets corresponding to symmetric nets. We ...
In this paper, we study semi-regular relative difference sets. We give some nonexistence results on ...
Linear codes over GF(5) are utilized for the construction of a reversible abelian Hadamard differenc...
Motivated by a connection between semi-regular relative difference sets and mutually unbiased bases,...
AbstractLinear codes overGF(5) are utilized for the construction of a reversible abelian Hadamard di...
This paper is primarily a study of difference sets in elementary abelian 2-groups. It is, however, s...
It is known that relative difference sets with parameters (18,3,18,6) in a group of order 54 with no...
AbstractUsing cohomology we show that in studying the existence of an abelian non-splitting (4 t, 2,...
AbstractA Hadamard difference set is a difference set with parameters of the form (v, k, λ, n) = (4m...
AbstractWe present a construction of Hadamard difference sets in abelian groups of order 4p4n, whose...
Xiang, QingDifference sets exist at the intersection of algebra and combinatorics, and are motivated...
AbstractGeneralizing a result of Ko and Ray-Chaudhuri (Discrete Math. 39 (1982), 37–58), we show the...
AbstractIt is shown that a group extensions approach to central relative (k+1,k-1,k,1)-difference se...
AbstractNon-affine groups acting doubly transitively on a Hadamard matrix have been classified by It...
It is shown that a group extensions approach to central relative (k + 1, k - 1 k, 1)-difference sets...
AbstractWe prove an exponent bound for relative difference sets corresponding to symmetric nets. We ...
In this paper, we study semi-regular relative difference sets. We give some nonexistence results on ...
Linear codes over GF(5) are utilized for the construction of a reversible abelian Hadamard differenc...
Motivated by a connection between semi-regular relative difference sets and mutually unbiased bases,...
AbstractLinear codes overGF(5) are utilized for the construction of a reversible abelian Hadamard di...
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