Year: 2020
Type: conference-paper
Abstract: In this paper, we explore the algebraic structure of the set of combinatorial matrices, which is characterized as the n × n matrices induced by the linear combination of the identity matrix of order n and the n × n matrix of 1's. We also explore some of its matrix properties such as its diagonalizability, its determinant, and its inverse. Lastly, we give a generalization on the error-correcting capability of twisted centralizer codes obtained by fixing a combinatorial matrix.
Author: John Ben S. Temones
Institution: Central Bicol State University of Agriculture
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4238792286