A new public key cryptography using generalized Fibonacci matrices
This work presents a new public key cryptography encryption-decryption scheme based on generalized Fibonacci matrices and the Hill cipher. This scheme proposes using Fibonacci sequences under prime modulo for key establishment. This scheme exchanges the key matrix X = Mθp of order p × p for encrypti...
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2024-12-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | https://www.utgjiu.ro/math/sma/v19/p19_16.pdf |
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| _version_ | 1850123668456210432 |
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| author | Jyoti Panchal Harish Chandra Akanksha Singh |
| author_facet | Jyoti Panchal Harish Chandra Akanksha Singh |
| author_sort | Jyoti Panchal |
| collection | DOAJ |
| description | This work presents a new public key cryptography encryption-decryption scheme based on generalized Fibonacci matrices and the Hill cipher. This scheme proposes using Fibonacci sequences under prime modulo for key establishment. This scheme exchanges the key matrix X = Mθp of order p × p for encryption and decryption. As an alternative to a key matrix, our scheme only requires the exchange of a pair of numbers (p,θ), resulting in a small key space and reduced time and space complexity. We also implemented our scheme with the help of java script and established better security. |
| format | Article |
| id | doaj-art-3c8ee2e162f14919a54fb312cebb687f |
| institution | OA Journals |
| issn | 1843-7265 1842-6298 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj-art-3c8ee2e162f14919a54fb312cebb687f2025-08-20T02:34:32ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982024-12-0119 (2024)301316A new public key cryptography using generalized Fibonacci matricesJyoti Panchal0Harish Chandra1Akanksha Singh2Department of Mathematics and Scientific Computing Madan Mohan Malaviya University of Technology Gorakhpur U.P. (273010).Department of Mathematics and Scientific Computing Madan Mohan Malaviya University of Technology Gorakhpur U.P. (273010).Department of Mathematics and Scientific Computing Madan Mohan Malaviya University of Technology Gorakhpur U.P. (273010).This work presents a new public key cryptography encryption-decryption scheme based on generalized Fibonacci matrices and the Hill cipher. This scheme proposes using Fibonacci sequences under prime modulo for key establishment. This scheme exchanges the key matrix X = Mθp of order p × p for encryption and decryption. As an alternative to a key matrix, our scheme only requires the exchange of a pair of numbers (p,θ), resulting in a small key space and reduced time and space complexity. We also implemented our scheme with the help of java script and established better security. https://www.utgjiu.ro/math/sma/v19/p19_16.pdfcryptographyhill cipherfibonacci sequencegeneralized fibonacci matriceskey exchange elgamal |
| spellingShingle | Jyoti Panchal Harish Chandra Akanksha Singh A new public key cryptography using generalized Fibonacci matrices Surveys in Mathematics and its Applications cryptography hill cipher fibonacci sequence generalized fibonacci matrices key exchange elgamal |
| title | A new public key cryptography using generalized Fibonacci matrices |
| title_full | A new public key cryptography using generalized Fibonacci matrices |
| title_fullStr | A new public key cryptography using generalized Fibonacci matrices |
| title_full_unstemmed | A new public key cryptography using generalized Fibonacci matrices |
| title_short | A new public key cryptography using generalized Fibonacci matrices |
| title_sort | new public key cryptography using generalized fibonacci matrices |
| topic | cryptography hill cipher fibonacci sequence generalized fibonacci matrices key exchange elgamal |
| url | https://www.utgjiu.ro/math/sma/v19/p19_16.pdf |
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