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Biased Nonce Sense: Lattice Attacks against Weak ECDSA Signatures in Cryptocurrencies
Hidden number problem ECDSA Lattices
2019/1/10
In this paper, we compute hundreds of Bitcoin private keys and dozens of Ethereum, Ripple, SSH, and HTTPS private keys by carrying out cryptanalytic attacks against digital signatures contained in pub...
Revisiting Orthogonal Lattice Attacks on Approximate Common Divisor Problems and their Applications
Fully homomorphic encryption approximate common divisor problem implicit factorization problem
2018/12/20
In this paper, we revisit three existing types of orthogonal lattice (OL) attacks and propose optimized cases to solve approximate common divisor (ACD) problems. In order to reduce both space and time...
On dual lattice attacks against small-secret LWE and parameter choices in HElib and SEAL
learning with errors cryptanalysis homomorphic encryption
2017/2/20
We present novel variants of the dual-lattice attack against LWE in the presence of an unusually short secret. These variants are informed by recent progress in BKW-style algorithms for solving LWE. A...
We prove that a system of linear congruences of a particular form
has at most a unique solution below a certain bound which can be
computed efficiently. Using this result we develop attacks against ...
Timing and Lattice Attacks on a Remote ECDSA OpenSSL Server: How Practical Are They Really?
DSA ECDSA Timing Attacks
2015/12/23
In 2011, B.B.Brumley and N.Tuveri found a remote timing attack
on OpenSSL’s ECDSA implementation for binary curves. We will
study if the title of their paper was indeed relevant (Remote Timing
Atta...
Lattice Attacks on the DGHV Homomorphic Encryption Scheme
Homomorphic Encryption Cryptanalysis Lattice reduction
2015/12/21
In 2010, van Dijk, Gentry, Halevi, and Vaikuntanathan described
the first fully homomorphic encryption over the integers, called
DGHV. The scheme is based on a set of m public integers ci = pqi + ri...