Cretan (4t + 1) Matrices
Abstract
Purpose: We tried to obtain a Cretan(4t+1) matrix of order 4t+1, i.e. an orthogonal matrix whose elements have moduli <1. The only Cretan(4t+1) matrices previously published were of orders 5, 9,13, 17 and 37. Results: In the paper, we give an infinite number of new Cretan(4t+1) matrices constructed by the use of regular Hadamard matrices, SBIBD(4t+1; k; A), weighing matrices, generalized Hadamard matrices and Kronecker product. We introduce an inequality for the matrix radius and give a construction for a Cretan matrix of any order n > 5. Practical relevance: Cretan(4t+1) matrices have direct practical applications to the problems of noise-immune coding, compression and masking of video information.Published
2016-08-19
How to Cite
Balonin, N., & Seberry, J. (2016). Cretan (4t + 1) Matrices. Information and Control Systems, (4), 2-9. https://doi.org/10.15217/issn1684-8853.2016.4.2
Issue
Section
Theoretical and applied mathematics