Name
Title | ||
|---|---|---|
Speeding Up Point Multiplication on Hyperelliptic Curves with Efficiently-Computable Endomorphisms |
Abstract | ||
|---|---|---|
As Koblitz curves were generalized to hyperelliptic Koblitz curves for faster point multiplication by G眉nter, et al. [10] we extend the recent work of Gallant, et al. [8] to hyperelliptic curves. So the extended method for speeding point multiplication applies to a much larger family of hyperelliptic curves over finite fields that have efficiently-computable endomorphisms. For this special family of curves, a speedup of up to 55 (59) % can be achieved over the best general methods for a 160-bit point multiplication in case of genus g =2 (3). |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1007/3-540-46035-7_13 | EUROCRYPT |
Keywords | Field | DocType |
extended method,hyperelliptic curve,hyperelliptic curves,finite field,special family,160-bit point multiplication,point multiplication,efficiently-computable endomorphisms,larger family,faster point multiplication,koblitz curve | Discrete mathematics,Characteristic polynomial,Hyperelliptic curve,Finite field,Family of curves,Multiplication,Hyperelliptic curve cryptography,Elliptic curve,Mathematics,Endomorphism | Conference |
Volume | ISSN | ISBN |
2332 | 0302-9743 | 3-540-43553-0 |
Citations | PageRank | References |
12 | 0.70 | 16 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Young-Ho Park | 1 | 137 | 16.79 |
| Sangtae Jeong | 2 | 29 | 3.08 |
| JongIn Lim | 3 | 819 | 75.16 |