A New Application to Cryptology Using Generalized Fibonacci Matrices, Inner Product and Self Adjoint Operator

Year 2025, Volume: 17 Issue: 2, 441 - 449, 30.12.2025

Vedat İrge , Yüksel Soykan

https://doi.org/10.47000/tjmcs.1528504

Abstract

In this paper, we develop a public key cryptosystem using key exchange based on the relationship between inner product and orthogonality. Then we created encoding and decoding algorithms using this key exchange, self adjoint operator, and generalized m-step Fibonacci sequence.

Keywords

Fibonacci matrix , Inner product , Orthogonality , Self adjoint , Key exchange , Coding and decoding algorithm

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