An attack on ELG-LUC3-ECC cryptosystem using Hastad’s and Julta’s theorem

• 主要な著者: T.J, Wong, L.F, Koo, M.H.A., Sathar, A.F.N., Rasedee, Izzatul Nabila, Sarbini
• フォーマット: 論文
• 言語: English
• 出版事項: Lviv Polytechnic National University 2024
• 主題: QA Mathematics
• オンライン･アクセス: http://ir.unimas.my/id/eprint/47124/1/202411411351140.pdf; http://ir.unimas.my/id/eprint/47124/; https://science.lpnu.ua/sites/default/files/journal-paper/2024/dec/36889/202411411351140.pdf

In this study, an attack on the El-Gamal encryption scheme ELG-LUC3-ECC is proposed, which is based on a third-order Lucas sequence over an elliptic curve finite field, using Hastad’s and Julta’s theorems. Hastad’s theorem was used to solve the problem of multivariate modular equations system, whe...