Cryptography using generalized Fibonacci matrices with Affine-Hill cipher

03/25/2020

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by   Kalika Prasad, et al.

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In this article, we have proposed a public key cryptography using Affine-Hill cipher with a generalized Fibonacci matrix(called multinacci matrix). Also proposed a key establishment(exchange of key matrix K=Q_λ^k 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 the only pair of numbers (λ, k), which reduces the time complexity as well as space complexity and comes with a large key-space.