Paper 2013/131
Lambda coordinates for binary elliptic curves
Thomaz Oliveira and Juilo López and Diego F. Aranha and Francisco Rodríguez-Henríquez
Abstract
In this work we present the $\lambda$-coordinates, a new system for representing points in binary elliptic curves. We also provide efficient elliptic curve operations based on the new representation and timing results of our software implementation over the field $\mathbb{F}_{2^{254}}$. As a result, we improve speed records for protected/unprotected single/multi-core software implementations of random-point elliptic curve scalar multiplication at the 128-bit security level. When implemented on a Sandy Bridge 3.4GHz Intel Xeon processor, our software is able to compute a single/multi-core unprotected scalar multiplication in 72,300 and 47,900 clock cycles, respectively; and a protected single-core scalar multiplication in 114,800 cycles. These numbers improve by around 2\% on the newer Core i7 2.8GHz Ivy Bridge platform.
Metadata
- Available format(s)
- Category
- Implementation
- Publication info
- Published elsewhere. Unknown status
- Keywords
- elliptic curve cryptosystem
- Contact author(s)
- thomaz figueiredo @ gmail com
- History
- 2014-01-31: last of 10 revisions
- 2013-03-07: received
- See all versions
- Short URL
- https://ia.cr/2013/131
- License
-
CC BY