A modified public key cryptography based on generalized Lucas matrices

Document Type : Original paper

Authors

1 Department of Mathematics, Government Engineering College, Bhojpur, Bihar, India, 802301

2 Department of Mathematics, Central University of Jharkhand, India, 835205

3 Department of Mathematics, Central University of Jharkhand Brambe, Ranchi.

Abstract

In this paper, we propose a generalized Lucas matrix (a recursive matrix of higher order) obtained from the generalized Fibonacci sequences. We obtain their algebraic properties such as direct inverse calculation, recursive nature, etc. Then, we propose a modified public key cryptography using the generalized Lucas matrices as a key element that optimizes the keyspace construction complexity. Furthermore, we establish a key agreement for encryption-decryption with a combination of the terms of generalized Lucas sequences under the residue operation.

Keywords

Main Subjects

References

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Communications in Combinatorics and Optimization

Articles in Press, Accepted Manuscript
Available Online from 19 January 2024

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