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A new public key cryptography using $M_{q}$ matrix | ||
| Journal of Mathematical Modeling | ||
| مقاله 6، دوره 11، شماره 4، اسفند 2023، صفحه 681-693 اصل مقاله (163.73 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.23982.2142 | ||
| نویسندگان | ||
| Azadeh Ramezanpour Naseri1؛ Ahmad Abbasi* 2؛ Reza Ebrahimi Atani3 | ||
| 1Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran | ||
| 2Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran & Center of Excellence for Mathematical Modeling Optimization and Combinatorial Computing (MMOCC), University of Guilan, Rasht, Iran | ||
| 3Department of Computer Engineering, University of Guilan, Rasht, Iran | ||
| چکیده | ||
| We consider a new class of square Fibonacci $(q+1)\times(q+1)$-matrices in public key cryptography. This extends previous cryptography using generalized Fibonacci matrices. For a given integer $q$, a $(q+1)\times(q+1)$ binary matrix $M_{q}$ is a matrix which nonzero entries are located either on the super diagonal or on the last row of the matrix. In this article, we have proposed a modified public key cryptography using such matrices as key in Hill cipher and key agreement for encryption-decryption of terms of $M_{q}$-matrix. In this scheme, instead of exchanging the whole key matrix, only a pair of numbers needed to be exchanged, which reduces the time complexity as well as the space complexity of the transmission and has a large key space. | ||
| کلیدواژه‌ها | ||
| Cryptography؛ Hill cipher؛ key exchange Elgamal؛ Fibonacci sequence and $M_{q}$-matrix | ||
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آمار تعداد مشاهده مقاله: 198 تعداد دریافت فایل اصل مقاله: 322 |
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