Maximum line-free set geometry in .
Minimum sum and difference covers of abelian groups.
Modular Difference Sets.
Modular Difference Sets. (Short Communication).
New regular partial difference sets and strongly regular graphs with parameters and .
Nonabelian groups with difference sets.
Nonexistence of twentieth power residue difference sets
On difference sets of sets of integers
On difference sets of sets of positive integers
On Golomb birulers and their applications
On Sidon sequences of even orders
On strongly sum-free subsets of abelian groups
In his book on unsolved problems in number theory [1] R. K. Guy asks whether for every natural l there exists with the following property: for every and any n elements of a group such that the product of any two of them is different from the unit element of the group, there exist l of the such that for and . In this note we answer this question in the affirmative in the first non-trivial case when l=3 and the group is abelian, proving the following result.
On Subdesigns of Symmetric Designs.
On Supplementary Difference Sets.
On the block structure of PBIB designs.
On the construction of cyclic quadruple systems
On the existence of (196,91,42) Hadamard difference sets
On the size of dissociated bases.
On the sum of dilations of a set
We show that for any relatively prime integers 1 ≤ p < q and for any finite A ⊂ ℤ one has .
On zero free sets.