An efficient lattice reduction method for F2-linear pseudorandom number generators using Mulders and Storjohann algorithm

Author:

Harase Shin

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference21 articles.

1. Dynamic creation of pseudorandom number generators;Matsumoto,2000

2. On lattice reduction for polynomial matrices;Mulders;J. Symbolic Comput.,2003

3. Fast lattice reduction for F2-linear pseudorandom number generators;Harase;Math. Comp.,2011

4. Mersenne Twister: a 623-dimensionally equidistributed uniform pseudo-random number generator;Matsumoto;ACM Trans. Model. Comput. Simul.,1998

5. Tables of 64-bit Mersenne Twisters;Nishimura;ACM Trans. Model. Comput. Simul.,2000

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Conversion of Mersenne Twister to double-precision floating-point numbers;Mathematics and Computers in Simulation;2019-07

2. Implementing 64-bit Maximally Equidistributed F 2 -Linear Generators with Mersenne Prime Period;ACM Transactions on Mathematical Software;2018-09-30

3. An Experimental Exploration of Marsaglia's xorshift Generators, Scrambled;ACM Transactions on Mathematical Software;2016-07-26

4. On the F2-linear relations of Mersenne Twister pseudorandom number generators;Mathematics and Computers in Simulation;2014-06

5. Variants of Mersenne Twister Suitable for Graphic Processors;ACM Transactions on Mathematical Software;2013-02

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