Title
Using bleichenbacher's solution to the hidden number problem to attack nonce leaks in 384-bit ECDSA
Abstract
In this paper we describe an attack against nonce leaks in 384-bit ECDSA using an FFT-based attack due to Bleichenbacher. The signatures were computed by a modern smart card. We extracted the low-order bits of each nonce using a template-based power analysis attack against the modular inversion of the nonce. We also developed a BKZ-based method for the range reduction phase of the attack, as it was impractical to collect enough signatures for the collision searches originally used by Bleichenbacher. We confirmed our attack by extracting the entire signing key using a 5-bit nonce leak from 4000 signatures.
Year
DOI
Venue
2013
10.1007/978-3-642-40349-1_25
IACR Cryptology ePrint Archive
Keywords
DocType
Volume
low-order bit,hidden number problem,384-bit ecdsa,nonce leak,5-bit nonce leak,template-based power analysis attack,fft-based attack,collision search,enough signature,bkz-based method,entire signing key,ecdsa,fft
Conference
2013
ISSN
Citations 
PageRank 
0302-9743
3
0.40
References 
Authors
16
4
Name
Order
Citations
PageRank
Elke De Mulder11428.07
Michael Hutter234525.26
Mark E. Marson3121.33
Peter Pearson4100.92