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A modified public key cryptography based on generalized Lucas matrices | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 13، دوره 10، شماره 3، آذر 2025، صفحه 665-679 اصل مقاله (429.4 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2024.28022.1419 | ||
| نویسندگان | ||
| Kalika Prasad1، 2؛ Munesh Kumari1، 2؛ Hrishikesh Mahato* 1 | ||
| 1Department of Mathematics, Central University of Jharkhand, India | ||
| 2Department of Mathematics, Government Engineering College, Bhojpur, Bihar, India | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Affine-Hill cipher؛ Cryptography؛ Fibonacci sequence؛ Lucas sequence؛ Lucas matrix | ||
| مراجع | ||
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