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We present a principled technique for reducing the matrix size in some applications of Coppersmith's lattice method for finding roots of modular polynomial equations. It relies on an analysis of the a...
We draw a new connection between Coppersmith's method for finding small solutions to polynomial congruences modulo integers and the capacity theory of adelic subsets of algebraic curves. Coppersmith's...
The Coppersmith methods is a family of lattice-based techniques to find small integer roots of polynomial equations. They have found numerous applications in cryptanalysis and, in recent development...
In 1993, Coppersmith introduced the “factorization factory” approach as a means to speed up the Number Field Sieve algorithm (NFS) when factoring batches of integers of similar size: at the expense ...
Coppersmith described at Eurocrypt 96 a polynomial-time algorithm for finding small roots of univariate modular equations, based on lattice reduction. In this paper we describe the first improvement o...
Factoring RSA keys from certified smart cards: Coppersmith in the wild     factorization  Coppersmith       font style='font-size:12px;'> 2014/3/7
An attacker can efficiently factor at least 184 distinct 1024-bit RSA keys from Taiwan's national "Citizen Digital Certificate" database. The big story here is that these keys were generated by govern...
We propose a new protocol providing cryptographically secure authentication to unaided humans against passive adversaries. We also propose a new generic passive attack on human identification protocol...

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