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Lower Bounds on Lattice Enumeration with Extreme Pruning
Lattices Enumeration Pruning Security Estimates
2018/6/13
At Eurocrypt '10, Gama, Nguyen and Regev introduced lattice enumeration with extreme pruning: this algorithm is implemented in state-of-the-art lattice reduction software and used in challenge records...
Quantum Lattice Enumeration and Tweaking Discrete Pruning
Lattices Quantum algorithms Enumeration
2018/6/5
Enumeration is a fundamental lattice algorithm used in challenge records. We show how to speed up enumeration on a quantum computer, which affects the security estimates of several lattice-based submi...
Random Sampling Revisited: Lattice Enumeration with Discrete Pruning
Enumeration Algorithms Short Vectors
2017/2/23
In 2003, Schnorr introduced Random sampling to find very short lattice vectors, as an alternative to enumeration. An improved variant has been used in the past few years by Kashiwabara et al. to solve...
Orthogonalized Lattice Enumeration for Solving SVP
Lattice-based SVP sparse representations, enumeration
2016/12/8
In 2014, the orthogonalized integer representation is presented
indepently by Dan Ding etc and Fukase etc to solve SVP respectively
by genetic algorithm and sampling technique, and both work have
a...
Time-Memory Trade-Off for Lattice Enumeration in a Ball
Lattice Enumeration public-key cryptography
2016/3/1
Enumeration algorithms in lattices are a well-known technique for solving the Short Vector Problem (SVP) and improving blockwise lattice reduction algorithms. Here, we propose a new algorithm for enum...