1. Department of Mathematics and Statistics, Himachal Pradesh University, Shimla, India.
2. Department of Mathematics, Government Post Graduate College, Ghumarwin, Bilaspur, India.
3. Department of Computer Science and Engineering, National Institute of Technology, Hamirpur, Himachal Pradesh, India.
†Corresponding author P.L. Sharma, E-mail: plsharma1964@gmail.com
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 properties related to their characteristic roots. Further, we take a special class of rhotrices of n-dimension and discuss its properties.
Rhotrix, Finite field, Coupled matrix, Eigen values
