On the characteristic roots and heart of a class of rhotrices over a finite field ∗

P L  Sharma; Arun  Kumar; Arun Kumar Sharma

doi:10.48165/

Authors

P L Sharma Department of Mathematics and Statistics, Himachal Pradesh University, Shimla, India.
Arun Kumar Department of Mathematics, Government Post Graduate College, Ghumarwin, Bilaspur, India.
Arun Kumar Sharma Department of Computer Science and Engineering, National Institute of Technology, Hamirpur, Himachal Pradesh, India.

DOI:

https://doi.org/10.48165/

Keywords:

Rhotrix, Finite field, Coupled matrix, Eigen values

Abstract

Matrices play an important role in various branches of mathematics such as coding theory, combinatorics and cryptography. Rhotrices are represented by coupled matrices. The use of rhotrices in cryptography doubles the security of messages which travel over insecure channels. We consider rhotrices of 3-dimension and derive some prop erties related to their characteristic roots. Further, we take a special class of rhotrices of n-dimension and discuss its properties.

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