1Department of Mathematics & Statistics, Himachal Pradesh University, Shimla, Himachal Pradesh171005, India Email: shalini.garga1970@gmail.com
2Department of Mathematics & Statistics, Himachal Pradesh University, Shimla, Himachal Pradesh171005, India Email: ruchinarang8878@gmail.com
3Department of Mathematics & Statistics, Himachal Pradesh University, Shimla, Himachal Pradesh171005, India Email: mansihverma16@gmail.com
4University Institute of Technology, Himachal Pradesh University, Shimla, Himachal Pradesh171005, India Email: dhimanneetu.278@gmail.com
*Corresponding Author: Shalini Gupta, Department of Mathematics & Statistics, Himachal Pradesh University, Shimla, Himachal Pradesh171005, India. E-mail: shalini.garga1970@gmail.com
Online published on 28 December, 2022.
Maximum Distance Separable (MDS) matrices offer ideal diffusion properties and are of great importance in design of block ciphers and hash functions. A rhotrix as defined by Sani, is a coupled matrix which when used in a cryptosystem provides double security. Many authors constructed MDS Rhotrices over finite fields using matrices which are cryptographically significant. Hankel matrices have wide range of applications in engineering, coding theory and cryptography. In the present paper, we define block rhotrix and block Hankel- like rhotrix. Further, we construct MDS block Hankel-like rhotrices using self-dual basis and conjugate elements of Fpn.
Finite Fields, MDS Rhotrix, Block Rhotrix, Hankel matrix, Hankel Rhotrix, Block Hankel- like Rhotrix
