The LLL algorithm is a well-known and widely used lattice basis reduction algorithm. In many applications, its speed is critical. Parallel computing can improve speed. However, th...
Since optimum diversity behavior can be achieved, equalization based on lattice basis reduction is of special interest for transmission over MIMO channels. Although the per-symbol...
In this paper we propose a modication of the Hopeld neural networks for vector precoding, based on Lenstra, Lenstra, and Lov`asz lattice basis reduction. This precoding algorithm c...
We present 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 signature generation) are known ...
Abstract. Lattice basis reduction is the problem of finding short vectors in lattices. The security of lattice based cryptosystems is based on the hardness of lattice reduction. Fu...
We report on improved practical algorithms for lattice basis reduction. We propose a practical oating point version of the L3{algorithm of Lenstra, Lenstra, Lovasz (1982). We pres...
We address the problem of computing a good floating-point-coefficient polynomial approximation to a function, with respect to the supremum norm. This is a key step in most process...
Abstract. Lattice basis reduction is an important problem in geometry of numbers with applications in combinatorial optimization, computer algebra, and cryptography. The well-known...
— Lattice basis reduction is a powerful technique that enables a hard-output detector for a multiple-input multiple-output channel to approach maximum-likelihood performance with...
In this paper we present an algorithm for parallel exhaustive search for short vectors in lattices. This algorithm can be applied to a wide range of parallel computing systems. To ...
Jens Hermans, Michael Schneider 0002, Johannes Buc...