| Author(s): |
Reza Farashahi; Dustin Moody; Hongfeng Wu; |
| Title: |
Isomorphism Classes of Edwards Curves over Finite Fields |
| Published: |
May 18, 2012 |
| Abstract: |
Edwards curves are a new model for elliptic curves, which have attracted notice in cryptography. We give exact formulas for the number of F_q-isomorphism classes of Edwards curves and twisted Edwards curves. This answers a question recently asked by R. Farashahi and I. Shparlinski. |
| Citation: |
Finite Fields and Their Applications |
| Volume: |
18 |
| Issue: |
3 |
| Pages: |
pp. 597 - 612 |
| Keywords: |
Elliptic curve; Edwards curve; Isomorphism classes; Cryptography |
| Research Areas: |
Math |
| DOI: |
10.1016/j.ffa.2011.12.004 (Note: May link to a non-U.S. Government webpage) |
| PDF version: |
 Click here to retrieve PDF version of paper (359KB) |
