Propus Matrices 92 and 116
Abstract
Purpose: The paper presents our results in numerical search for symmetric high-order propus-Hadamard matrices: special Williamson or Goethal-Seidel arrays with two equal blocks. Methods: Search for global or local maximum determinant matrices is performed via an iterative computational procedure focused on the minimization of the maximum absolute values of the elements of an orthogonal matrix. Results: A new symmetric Hadamard matrix of order 92 has been found, along with a symmetric weighing matrix W(116,114) in Propus construction. A confirmation is given for the existence of symmetric constructions on these orders with specific implementations. The theory of Hadamard matrices is supplemented by the Propus construction. Practical relevance: Hadamard matrices are orthogonal by rows and columns. Thay have a direct practical value for the problems of error-correcting coding, video compression and masking.Published
2016-04-21
How to Cite
Balonin, N., & Sergeev, M. (2016). Propus Matrices 92 and 116. Information and Control Systems, (2), 101-103. https://doi.org/10.15217/issn1684-8853.2016.2.101
Issue
Section
Brief scientific reports