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Some classes of Diophantine equations connected with McFarland's and Ma's conjectures

100%

Cao Z., Grytczuk A.

Discussiones Mathematicae - General Algebra and Applications

2000

tom 20

nr 2

193-198

In this paper we consider some special classes of Diophantine equations connected with McFarland's and Ma's conjectures about difference sets in abelian groups and we obtain an extension of known results.

On Sidon sequences of even orders

100%

Chen S.

Acta Arithmetica

1993

tom 64

nr 4

325-330

Two-level Cretan matrices constructed using SBIBD

88%

Balonin N. A., Seberry J.

Special Matrices

2015

tom 3

nr 1

Two-level Cretan matrices are orthogonal matrices with two elements, x and y. At least one element per row and column is 1 and the other element has modulus ≤ 1. These have been studied in the Russian literature for applications in image processing and compression. Cretan matrices have been found by both mathematical and computational methods but this paper concentrates on mathematical solutions for the first time. We give, for the first time, families of Cretan matrices constructed using the incidence matrix of a symmetric balanced incomplete block design and Hadamard related difference sets.

Ograniczanie wyników

1 Acta Arithmetica

1 Discussiones Mathematicae - General Algebra and Applications

1 Special Matrices

1 Balonin N. A.

1 Cao Z.

1 Chen S.

1 Grytczuk A.

1 Seberry J.

1 2015

1 2000

1 1993

Wyniki wyszukiwania

Some classes of Diophantine equations connected with McFarland's and Ma's conjectures

On Sidon sequences of even orders

Two-level Cretan matrices constructed using SBIBD