Title
One-More Unforgeability of Blind ECDSA
Abstract
In this paper, we give the first formal security analysis on the one-more unforgeability of blind ECDSA. We start with giving a general attack on blind ECDSA, which is similar to the ROS attack on the blind Schnorr signature. We formulate the ECDSA-ROS problem to capture this attack. Next, we give a generic construction of blind ECDSA based on an additive homomorphic encryption and a corresponding zero-knowledge proof. Our concrete instantiation is about 40 times more bandwidth efficient than the blind ECDSA in AsiaCCS 2019. After that, we give the first formal proof of one-more unforgeability for blind ECDSA, under a new model called algebraic bijective random oracle. The security of our generic blind ECDSA relies on the hardness of a discrete logarithm-based interactive assumption and an assumption of the underlying elliptic curve. Finally, we analyze the hardness of the ECDSA-ROS problem in the algebraic bijective random oracle model.
Year
DOI
Venue
2021
10.1007/978-3-030-88428-4_16
COMPUTER SECURITY - ESORICS 2021, PT II
Keywords
DocType
Volume
Blind signature, ECDSA, One-more unforgeability
Conference
12973
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Xianrui Qin100.34
Cailing Cai200.34
Tsz Hon Yuen350733.86