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Lattice Gaussian Sampling by Markov Chain Monte Carlo: Bounded Distance Decoding and Trapdoor Sampling
lattice Gaussian sampling Markov chain Monte Carlo bounded distance decoding
2019/6/5
Sampling from the lattice Gaussian distribution plays an important role in various research fields. In this paper, the Markov chain Monte Carlo (MCMC)-based sampling technique is advanced in several f...
Polynomial Time Bounded Distance Decoding near Minkowski’s Bound in Discrete Logarithm Lattices
lattice techniques Bounded Distance Decoding Minkowski's bound
2018/2/9
We propose a concrete family of dense lattices of arbitrary dimension n in which the lattice Bounded Distance Decoding (BDD) problem can be solved in deterministic polynomial time. This construction i...
Improved Reduction from the Bounded Distance Decoding Problem to the Unique Shortest Vector Problem in Lattices
Lattices Bounded Distance Decoding Problem Unique Shortest Vector Problem
2016/12/12
We present a probabilistic polynomial-time reduction from the lattice Bounded Distance Decoding (BDD) problem with parameter 1/(2√⋅γ2⋅γ) to the unique Shortest Vector Problem (uSVP) with p...