82 citations · 311 across the 36 of their papers we have counts for
16 papers · 1 filter
Algorithms for difference families in finite abelian groups
Dragomir Z. Djokovic, Ilias S. Kotsireas
Our main objective is to show that the computational methods that we previously developed to search for difference families in cyclic groups can be fully extended to the more gener…
Construction of symmetric Hadamard matrices
N. A. Balonin, Y. N. Balonin, D. Z. Djokovic +2
We systematically explore the new method of construction (known as the propus construction) of symmetric Hadamard matrices for small orders, . In particular we give the first e…
A class of cyclic difference families with a prime
Dragomir Z. Djokovic, Ilias S. Kotsireas
We construct several cyclic difference families with a prime and . Such families can be used in conjunction with the…
Negaperiodic Golay pairs and Hadamard matrices
N. A. Balonin, D. Z. Djokovic
Apart from the ordinary and the periodic Golay pairs, we define also the negaperiodic Golay pairs. (They occurred first, under a different name, in a paper of Ito.) If a Hadamard m…
There is no circulant weighing matrix of order 60 and weight 36
Dragomir Z. Djokovic, Ilias S. Kotsireas
With the help of a computer, we prove the assertion made in the title.
Small orders of Hadamard matrices and base sequences
Dragomir Z. Djokovic
We update the list of odd integers n<10000 for which an Hadamard matrix of order 4n is known to exist. We also exhibit the first example of base sequences BS(40,39). Consequently,…