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Published in:
2014 | OriginalPaper | Chapter
Curve41417: Karatsuba Revisited
Authors : Daniel J. Bernstein, Chitchanok Chuengsatiansup, Tanja Lange
Published in: Cryptographic Hardware and Embedded Systems – CHES 2014
Publisher: Springer Berlin Heidelberg
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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.