On Construction of Hadamard Rhotrix using a Special Type of Mn– Matrix
M. M. Nair
M. M. Nair, Department of Applied Mathematics, Adama Science and Technology University, PO BOX 1888, Adama, Ethiopia.
Manuscript received on 30 June 2019 | Revised Manuscript received on 05 July 2019 | Manuscript published on 30 July 2019 | PP: 2339-2343 | Volume-8 Issue-9, July 2019 | Retrieval Number: I8540078919 /19©BEIESP | DOI: 10.35940/ijitee.I8540.078919Open Access | Ethics and Policies | Cite | Mendeley | Indexing and Abstracting © The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The Hadamard matrix H is a square matrix with all the entries +1’s or -1’s which satisfies the property HHT = n In. Rhotrix is a new concept for mathematical enrichment with much scope for research and has a wide range of applications in coding theory and cryptography. Mn–matrix is also a matrix with 1 entry, like the Hadamard matrix, but the orthogonality property is not satisfied. It is shown in this paper that Hadamard matrices and thereby Hadamard rhotrices can be constructed by using a special type of Mn-matrix, named N- matrix, which is a unique approach.
Keywords: coupled matrix, Hadamard matrix, Hadamard Rhotrix, Mn-matrix, N-matrix.
Scope of the Article: Construction Economics