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Two-level Cretan matrices constructed using SBIBD

Journal Article


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Abstract


  • 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.

Publication Date


  • 2015

Citation


  • Balonin, N. A. & Seberry, J. (2015). Two-level Cretan matrices constructed using SBIBD. Special Matrices, 3 (1), 186-192.

Scopus Eid


  • 2-s2.0-85035233940

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=6417&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5389

Number Of Pages


  • 6

Start Page


  • 186

End Page


  • 192

Volume


  • 3

Issue


  • 1

Place Of Publication


  • Poland

Abstract


  • 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.

Publication Date


  • 2015

Citation


  • Balonin, N. A. & Seberry, J. (2015). Two-level Cretan matrices constructed using SBIBD. Special Matrices, 3 (1), 186-192.

Scopus Eid


  • 2-s2.0-85035233940

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=6417&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5389

Number Of Pages


  • 6

Start Page


  • 186

End Page


  • 192

Volume


  • 3

Issue


  • 1

Place Of Publication


  • Poland