IZZATUL NABILA BT SARBINI, IZZATUL NABILA (2020) QUARTIC EL-GAMAL ENCRYPTION SCHEME BASED ON LUCAS SEQUENCE. Doctoral thesis, UNIVERSITI PUTRA MALAYSIA.
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Abstract
This study focuses on developing a secure and efficient method of encryption and decryption of plaintext. The El-Gamal cryptosystem scheme based on the fourth and sixth order Lucas sequence, known as LUC(4,6)ELG, is developed. Then, LUC(4,6) is incorporated into ciphertexts calculation (C1;C2;C3 and C4) with the given encryption keys, e. C2 and C4 are calculated using the fourth order Lucas sequence, and C3 is calculated using the sixth order Lucas sequence. A similar method is used in the decryption process by the receiver to retrieve the original plaintext. This newly developed system underwent security analysis; four types of attacks, including GCD, Lenstra’s, Wiener’s, and garbage-man-in-the-middle (II) attacks, were implemented to the existing cryptosystem (LUCELG and LUC(3)ELG) and to LUC(4,6)ELG. The findings show that LUC(4,6)ELG is harder to break when attacked by GCD and Lenstra’s attack. However, for Wiener’s and Garbage-man-in-the-middle (II) attacks, the security level is compromised. Efficiency analysis shows that LUC(4,6)ELG is more efficient than the methods. However, computationally, LUCELG and LUC(3)ELG are more efficient than LUC(4,6)ELG.
| Item Type: | Thesis (Doctoral) |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Universiti > Universiti Putra Malaysia (UPM) |
| Depositing User: | Encik Mohd Zulkarnain Hassan bin Mohd Zainudin |
| Date Deposited: | 16 Jan 2026 09:58 |
| Last Modified: | 16 Jan 2026 09:58 |
| URI: | https://repositori.mohe.gov.my/id/eprint/138 |
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