Cryptography using generalized Fibonacci matrices with Affine-Hill cipher

Abstract

In this article, we have proposed a public key cryptography using Affine-Hill cipher with generalised Fibonacci matrix(called multinacci matrix). Also proposed a key establishment(exchange of key matrix of order λ×λ for encryption-decryption) scheme with the help of multinacci sequences under prime modulo. In this scheme, instead of exchanging key matrix, we need to exchange only pair of numbers (λ, k), which reduces the time complexity as well as space complexity and comes with a large key-space.

Subject Classification:

• 11T71
• 11B39
• 14G50
• 94A60

Keywords:

• Affine-Hill cipher
• Cryptography
• Fibonacci sequence & matrix
• Multinacci sequence & matrix