A new application to cryptology using generalized Jacobsthal matrices, inner product and self-adjoint operator
Vedat Irge, Yueksel Soykan
article (Uluslararası, Hakemli) | Yazar(lar): Vedat Irge, Yueksel Soykan | Yıl: 2024 | Dergi/Kurum: DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | İndeks: WOS.ESCI | DOI: 10.1142/s1793830923501136 | Anahtar Kelimeler: Jacobsthal matrix, inner product, orthogonality, self-adjoint, key exchange, coding and decoding a
In this paper, we first examine the properties of the matrices of the generalized m-step Jacobsthal sequence, and we develop a public key cryptosystem using key exchange based on the relationship between inner product and orthogonality. Then we create encryption and decryption algorithms using this key exchange, self-adjoint operator, and generalized m-step Jacobsthal sequence, and we provide a detailed example of how encryption and decryption algorithms work. Finally, a security strength and complexity analysis of these algorithms will be made.