| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4594548 | Journal of Number Theory | 2011 | 15 Pages |
Abstract
Edwards curves were the first curves shown to have a complete addition law. However, the completeness of the addition law depends on the curve parameters and even a complete Edwards curve becomes incomplete over a quadratic field extension. This paper covers arbitrary Edwards curves and gives a set of two addition laws that for any pair of input points P1, P2 produce the sum P1+P2.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
