Name
Abstract | ||
|---|---|---|
We study division by 3 in Jacobians of genus 2 curves over binary fields with a 2-torsion subgroup of rank 1 or 2. We characterize the 3-torsion divisors and provide, for every <inline-formula><inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink=\"gcom_a_1059935_ilm0001.gif\"/</inline-formula>, a formula for the coordinates of the divisors in the set <inline-formula><inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink=\"gcom_a_1059935_ilm0002.gif\"/</inline-formula>. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1080/00207160.2015.1059935 | Int. J. Comput. Math. |
Keywords | Field | DocType |
genus 2 curves, binary fields, Jacobian, trisection, cryptography | Jacobian matrix and determinant,Algebra,Cryptography,Binary fields,Divisor,Mathematics | Journal |
Volume | Issue | ISSN |
93 | 8 | 0020-7160 |
Citations | PageRank | References |
1 | 0.45 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jordi Pujolàs | 1 | 24 | 5.98 |
| Edgardo Riquelme | 2 | 2 | 0.83 |
| Nicolas Thériault | 3 | 177 | 13.06 |