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Supersingular elliptic curves, binary quadratic forms and isogenies | ||
| AUT Journal of Mathematics and Computing | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 25 مهر 1403 | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2024.23144.1245 | ||
| نویسندگان | ||
| Leila Goodarzi؛ Hassan Daghigh* | ||
| Department of pure mathematics, faculty of mathematical science, University of Kashan, Kashan, Iran | ||
| چکیده | ||
| Many of researchers have explored the construction of isogenies between particular elliptic curves, largely due to the extensive range of their practical applications. In this paper, we use the relationship between supersingular elliptic curves over $\mathbb{F}_{p}$ and binary quadratic forms to generate isogenies connecting supersingular elliptic curves over $\mathbb{F}_{p}$. | ||
| کلیدواژه‌ها | ||
| Elliptic curve؛ Isogeny؛ Supersingular؛ Binary quadratic forms | ||
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آمار تعداد مشاهده مقاله: 191 |
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