An analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence
Elliptic Curve Cryptography is a cryptography based on the algebraic structure of elliptic curves over finite fields. The security of Elliptic Curve Cryptography depends on discrete logarithms that is much more difficult to challenge at equivalent key lengths. Lucas sequence is a sequence that satis...
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| Format: | Article |
| Language: | English |
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International Journal of Scientific and Technology Research
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/80577/ http://psasir.upm.edu.my/id/eprint/80577/1/CURVE.pdf |
| _version_ | 1848858920279343104 |
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| author | Koo, Lee Feng Sarbini, Izzatul Nabila Yiu, Pang Hung Naning @ Zin, Fatin Hana Wong, Tze Jin |
| author_facet | Koo, Lee Feng Sarbini, Izzatul Nabila Yiu, Pang Hung Naning @ Zin, Fatin Hana Wong, Tze Jin |
| author_sort | Koo, Lee Feng |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Elliptic Curve Cryptography is a cryptography based on the algebraic structure of elliptic curves over finite fields. The security of Elliptic Curve Cryptography depends on discrete logarithms that is much more difficult to challenge at equivalent key lengths. Lucas sequence is a sequence that satisfies the recurrence relation and is very useful for fast and reliable primality testing. Therefore, a cryptosystem had been developed which is analogous to Elliptic Curve Cryptosystem, and is based on second order Lucas sequence. This cryptosystem will be tested by using chosen plaintext attack. The chosen plaintext attack is one of the homomorphic attacks. It is a consequence of the multiplication structure and based on homomorphic nature. Thus, this paper reports a way the chosen plaintext attack succeed in Elliptic Curve Cryptosystem based on second order Lucas sequence. |
| first_indexed | 2025-11-15T12:21:06Z |
| format | Article |
| id | upm-80577 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:21:06Z |
| publishDate | 2019 |
| publisher | International Journal of Scientific and Technology Research |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-805772020-11-05T19:34:11Z http://psasir.upm.edu.my/id/eprint/80577/ An analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence Koo, Lee Feng Sarbini, Izzatul Nabila Yiu, Pang Hung Naning @ Zin, Fatin Hana Wong, Tze Jin Elliptic Curve Cryptography is a cryptography based on the algebraic structure of elliptic curves over finite fields. The security of Elliptic Curve Cryptography depends on discrete logarithms that is much more difficult to challenge at equivalent key lengths. Lucas sequence is a sequence that satisfies the recurrence relation and is very useful for fast and reliable primality testing. Therefore, a cryptosystem had been developed which is analogous to Elliptic Curve Cryptosystem, and is based on second order Lucas sequence. This cryptosystem will be tested by using chosen plaintext attack. The chosen plaintext attack is one of the homomorphic attacks. It is a consequence of the multiplication structure and based on homomorphic nature. Thus, this paper reports a way the chosen plaintext attack succeed in Elliptic Curve Cryptosystem based on second order Lucas sequence. International Journal of Scientific and Technology Research 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/80577/1/CURVE.pdf Koo, Lee Feng and Sarbini, Izzatul Nabila and Yiu, Pang Hung and Naning @ Zin, Fatin Hana and Wong, Tze Jin (2019) An analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence. International Journal of Scientific and Technology Research, 8 (11). pp. 1193-1196. ISSN 2277-8616 http://www.ijstr.org/final-print/nov2019/An-Analysis-For-Chosen-Plaintext-Attack-In-Elliptic-Curve-Cryptosystem-Based-On-Second-Order-Lucas-Sequence-.pdf |
| spellingShingle | Koo, Lee Feng Sarbini, Izzatul Nabila Yiu, Pang Hung Naning @ Zin, Fatin Hana Wong, Tze Jin An analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence |
| title | An analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence |
| title_full | An analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence |
| title_fullStr | An analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence |
| title_full_unstemmed | An analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence |
| title_short | An analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence |
| title_sort | analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence |
| url | http://psasir.upm.edu.my/id/eprint/80577/ http://psasir.upm.edu.my/id/eprint/80577/ http://psasir.upm.edu.my/id/eprint/80577/1/CURVE.pdf |