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On the Geometric Ergodicity of Metropolis-Hastings Algorithms for Lattice Gaussian Sampling
Lattice Gaussian sampling MCMC methods Metropolis-Hastings algorithm
2019/6/10
Sampling from the lattice Gaussian distribution has emerged as an important problem in coding, decoding and cryptography. In this paper, the classic Metropolis-Hastings (MH) algorithm in Markov chain ...
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...
Integral Matrix Gram Root and Lattice Gaussian Sampling without Floats
Lattice based cryptography Discrete Gaussian sampling Matrix decomposition
2019/4/1
Many advanced lattice based cryptosystems require to sample lattice points from Gaussian distributions. One challenge for this task is that all current algorithms resort to floating-point arithmetic (...