The Lenstra-Lenstra-Lov´asz lattice basis reduction algorithm (LLL or L3 ) is a very popular tool in public-key cryptanalysis and in many other fields. Given an integer d-dimensi...
The faster growth curves in the speed of GPUs relative to CPUs in the past decade and its rapidly gained popularity have spawned a new area of development in computational technol...
Nguyen and Shparlinski recently presented a polynomial-time algorithm that provably recovers the signer's secret DSA key when a few bits of the random nonces k (used at each s...
We analyze the concrete security and key sizes of theoretically sound lattice-based encryption schemes based on the “learning with errors” (LWE) problem. Our main contribution...
We consider parallel algorithms for computing the Hermite normal form of matrices over Euclidean rings. We use standard types of reduction methods which are the basis of many algor...