A New Public-Key Cryptosystem Based On Mandelbrot And Julia Fractal Sets.
In this study, we are proposing a new cryptographic public-key encryption protocol based on Mandelbrot and Julia fractal sets. The fractal based public-key encryption protocol is possible because of the strong connection between the Mandelbrot and Julia fractal sets. In the proposed protocol Mandelb...
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| Format: | Article |
| Language: | English |
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Medwell Journals
2007
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| Online Access: | http://eprints.usm.my/9388/ http://eprints.usm.my/9388/1/A_New_Public-Key_Cryptosystem_Based_on_Mandelbrot_and_Julia_Fractal_Sets.pdf |
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| author | Alia, Mohammad Ahmad Samsudin, Azman |
| author_facet | Alia, Mohammad Ahmad Samsudin, Azman |
| author_sort | Alia, Mohammad Ahmad |
| building | USM Institutional Repository |
| collection | Online Access |
| description | In this study, we are proposing a new cryptographic public-key encryption protocol based on Mandelbrot and Julia fractal sets. The fractal based public-key encryption protocol is possible because of the strong connection between the Mandelbrot and Julia fractal sets. In the proposed protocol Mandelbrot fractal function takes the chosen private key as the input parameter and generates the corresponding public-key. Julia fractal function is used to cipher the plaintext with receiver’s public key and decipher the ciphertext based on the receiver’s private key. The proposed protocol is designed to be resistant against attacks, utilize small key size and perform comparatively faster than the existing RSA public-key encryption protocol. The proposed fractal public-key encryption protocol is, therefore, an attractive alternative to the traditional number theory
based public-key encryption protocol.
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| first_indexed | 2025-11-15T15:29:03Z |
| format | Article |
| id | usm-9388 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T15:29:03Z |
| publishDate | 2007 |
| publisher | Medwell Journals |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-93882013-07-13T04:08:29Z http://eprints.usm.my/9388/ A New Public-Key Cryptosystem Based On Mandelbrot And Julia Fractal Sets. Alia, Mohammad Ahmad Samsudin, Azman QA75.5-76.95 Electronic computers. Computer science In this study, we are proposing a new cryptographic public-key encryption protocol based on Mandelbrot and Julia fractal sets. The fractal based public-key encryption protocol is possible because of the strong connection between the Mandelbrot and Julia fractal sets. In the proposed protocol Mandelbrot fractal function takes the chosen private key as the input parameter and generates the corresponding public-key. Julia fractal function is used to cipher the plaintext with receiver’s public key and decipher the ciphertext based on the receiver’s private key. The proposed protocol is designed to be resistant against attacks, utilize small key size and perform comparatively faster than the existing RSA public-key encryption protocol. The proposed fractal public-key encryption protocol is, therefore, an attractive alternative to the traditional number theory based public-key encryption protocol. Medwell Journals 2007-05 Article PeerReviewed application/pdf en http://eprints.usm.my/9388/1/A_New_Public-Key_Cryptosystem_Based_on_Mandelbrot_and_Julia_Fractal_Sets.pdf Alia, Mohammad Ahmad and Samsudin, Azman (2007) A New Public-Key Cryptosystem Based On Mandelbrot And Julia Fractal Sets. Asian Journal of Information Technology, 6 (5). pp. 567-575. ISSN 1682-3915 |
| spellingShingle | QA75.5-76.95 Electronic computers. Computer science Alia, Mohammad Ahmad Samsudin, Azman A New Public-Key Cryptosystem Based On Mandelbrot And Julia Fractal Sets. |
| title | A New Public-Key Cryptosystem Based On Mandelbrot And Julia Fractal Sets. |
| title_full | A New Public-Key Cryptosystem Based On Mandelbrot And Julia Fractal Sets. |
| title_fullStr | A New Public-Key Cryptosystem Based On Mandelbrot And Julia Fractal Sets. |
| title_full_unstemmed | A New Public-Key Cryptosystem Based On Mandelbrot And Julia Fractal Sets. |
| title_short | A New Public-Key Cryptosystem Based On Mandelbrot And Julia Fractal Sets. |
| title_sort | new public-key cryptosystem based on mandelbrot and julia fractal sets. |
| topic | QA75.5-76.95 Electronic computers. Computer science |
| url | http://eprints.usm.my/9388/ http://eprints.usm.my/9388/1/A_New_Public-Key_Cryptosystem_Based_on_Mandelbrot_and_Julia_Fractal_Sets.pdf |