Construction of Maximum Distance Separable Rhotrices using Cauchy Rhotrices over Finite Fields

Maximum distance separable (MDS) matrices are important in cryptography and particularly used in block ciphers due to their properties of diffusion. Rhotrices are represented by the coupled matrices. Therefore, maximum distance separable rhotrices are of much interest in the context of cryptography. In this paper, we define Cauchy rhotrix and then use it to construct MDS rhotrices over finite fields.