AbstractWe theoretically establish the existence status of some previously open abelian difference sets. More precisely, we show the nonexistence of all the following difference sets: (841,120,17) in Z29×Z29, (364,121,40) in Z2×Z2×Z7×Z13, (837,133,21) in Z3×Z3×Z3×Z31,Z3×Z9×Z31 and Z837
AbstractWe investigate (m, n, k, λ1, λ2)-divisible difference sets in an abelian group admitting −1 ...
AbstractThis paper is motivated by Bruck's paper (1955), in which he proved that the existence of cy...
AbstractUsing the representation theory of groups and the theory of cyclotomic fields, in this paper...
AbstractOf the five abelian groups of order 81, three are known not to contain a (81, 16, 3) differe...
AbstractWe theoretically establish the existence status of some previously open abelian difference s...
AbstractIt is shown that no (783,69,6)-difference set exists in ##Z##33 × ##Z##29. This excludes one...
Difference sets in the group Z3 x Z3 x Z37 and the group Z3 x Z9 x Z7 are known not to exist. Th...
AbstractExistence status of (96, 20, 4) difference sets in Z4 × Z4 × Z2 × Z3 has been open so far. I...
We present a condition on the intersection numbers of difference sets which follows from a result of...
Xiang, QingDifference sets exist at the intersection of algebra and combinatorics, and are motivated...
We present a condition on the intersection numbers of difference sets which follows from a result of...
AbstractThis paper provides some restrictions to reversible (m, n, k, λ1, λ2)-abelian divisible diff...
AbstractWe consider difference sets that have the parameters of the two series constructed recently ...
AbstractWe investigate proper (m, n, k, λ1, λ2)-divisible difference sets D in an abelian group G ad...
The existence of difference sets in abelian 2-groups is a recently settled problem [5]; this note ex...
AbstractWe investigate (m, n, k, λ1, λ2)-divisible difference sets in an abelian group admitting −1 ...
AbstractThis paper is motivated by Bruck's paper (1955), in which he proved that the existence of cy...
AbstractUsing the representation theory of groups and the theory of cyclotomic fields, in this paper...
AbstractOf the five abelian groups of order 81, three are known not to contain a (81, 16, 3) differe...
AbstractWe theoretically establish the existence status of some previously open abelian difference s...
AbstractIt is shown that no (783,69,6)-difference set exists in ##Z##33 × ##Z##29. This excludes one...
Difference sets in the group Z3 x Z3 x Z37 and the group Z3 x Z9 x Z7 are known not to exist. Th...
AbstractExistence status of (96, 20, 4) difference sets in Z4 × Z4 × Z2 × Z3 has been open so far. I...
We present a condition on the intersection numbers of difference sets which follows from a result of...
Xiang, QingDifference sets exist at the intersection of algebra and combinatorics, and are motivated...
We present a condition on the intersection numbers of difference sets which follows from a result of...
AbstractThis paper provides some restrictions to reversible (m, n, k, λ1, λ2)-abelian divisible diff...
AbstractWe consider difference sets that have the parameters of the two series constructed recently ...
AbstractWe investigate proper (m, n, k, λ1, λ2)-divisible difference sets D in an abelian group G ad...
The existence of difference sets in abelian 2-groups is a recently settled problem [5]; this note ex...
AbstractWe investigate (m, n, k, λ1, λ2)-divisible difference sets in an abelian group admitting −1 ...
AbstractThis paper is motivated by Bruck's paper (1955), in which he proved that the existence of cy...
AbstractUsing the representation theory of groups and the theory of cyclotomic fields, in this paper...
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