Paper 2014/526
Curve41417: Karatsuba revisited
Daniel J. Bernstein, Chitchanok Chuengsatiansup, and Tanja Lange
Abstract
This paper introduces constant-time ARM Cortex-A8 ECDH software that (1) is faster than the fastest ECDH option in the latest version of OpenSSL but (2) achieves a security level above 2^200 using a prime above 2^400. For comparison, this OpenSSL ECDH option is not constant-time and has a security level of only 2^80. The new speeds are achieved in a quite different way from typical prime-field ECC software: they rely on a synergy between Karatsuba's method and choices of radix smaller than the CPU word size.
Metadata
- Available format(s)
-
PDF
- Publication info
- A minor revision of an IACR publication in CHES 2014
- Keywords
- performanceKaratsubarefined Karatsubareduced refined Karatsubaradix choicesvectorizationEdwards curvesCurve41417
- Contact author(s)
- tanja @ hyperelliptic org
- History
- 2014-07-07: received
- Short URL
- https://ia.cr/2014/526
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2014/526,
author = {Daniel J. Bernstein and Chitchanok Chuengsatiansup and Tanja Lange},
title = {Curve41417: Karatsuba revisited},
howpublished = {Cryptology {ePrint} Archive, Paper 2014/526},
year = {2014},
url = {https://eprint.iacr.org/2014/526}
}
