Name
Abstract | ||
|---|---|---|
Scalar multiplication methods using the Frobenius maps are known for efficient methods to speed up (hyper)elliptic curve cryptosystems. However, those methods are not efficient for the cryptosystems constructed on fields of small extension degrees due to costs of the field operations. Iijima et al. showed that one can use certain automorphisms on the quadratic twists of elliptic curves for fast scalar multiplications without the drawback of the Frobenius maps. This paper shows an extension of the automorphisms on the Jacobians of hyperelliptic curves of arbitrary genus. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1093/ietfec/e91-a.7.1839 | IEICE Transactions |
Keywords | Field | DocType |
scalar multiplications,field operation,frobenius expansions,scalar multiplication method,efficient method,skew-frobenius maps,certain automorphisms,elliptic curve,small extension degree,frobenius map,arbitrary genus,hyperelliptic curves,elliptic curve cryptosystems,automorphisms on the jacobians of hyperelliptic curves of arbitrary genus. key words: hyperelliptic curve cryptosystems,fast scalar multiplication,scalar multiplication,hyperelliptic curve | Discrete mathematics,Hyperelliptic curve,Twists of curves,Scalar multiplication,Automorphism,Elliptic curve point multiplication,Hyperelliptic curve cryptography,Jacobian curve,Mathematics,Elliptic curve | Journal |
Volume | Issue | ISSN |
E91-A | 7 | 0916-8508 |
Citations | PageRank | References |
5 | 0.57 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shunji Kozaki | 1 | 19 | 2.07 |
| Kazuto Matsuo | 2 | 62 | 6.44 |
| Yasutomo Shimbara | 3 | 5 | 0.57 |