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Some new periodic Golay pairs
Dragomir Z. Djokovic, Ilias S. Kotsireas
Periodic Golay pairs are a generalization of ordinary Golay pairs. They can be used to construct Hadamard matrices. A positive integer is a (periodic) Golay number if there exi…
Compression of Periodic Complementary Sequences and Applications
Dragomir Z. Djokovic, Ilias S. Kotsireas
A collection of complex sequences of length v is complementary if the sum of their periodic autocorrelation function values at all non-zero shifts is constant. For a complex sequen…
Some new orders of Hadamard and skew-Hadamard matrices
Dragomir Z. Djokovic, Oleg Golubitsky, Ilias S. Kotsireas
We construct Hadamard matrices of orders 4x251 = 1004 and 4x631 = 2524, and skew-Hadamard matrices of orders 4x213 = 852 and 4x631 = 2524. As far as we know, such matrices have not…