Lattice Tester Online Documentation unknown
Software Package For Testing The Uniformity Of Integral Lattices In The Real Space
|
L. Afflerbach and H. Grothe. Calculation of Minkowski-reduced lattice bases. Computing, 35:269–276, 1985.
J. H. Conway and N. J. A. Sloane. Sphere Packings, Lattices and Groups. Grundlehren der Mathematischen Wissenschaften 290. Springer-Verlag, New York, 3rd edition, 1999.
R. Couture and P. L'Ecuyer. Orbits and lattices for linear random number generators with composite moduli. Mathematics of Computation, 65(213):189–201, 1996.
U. Fincke and M. Pohst. Improved methods for calculating vectors of short length in a lattice, including a complexity analysis. Mathematics of Computation, 44:463–471, 1985.
P. L'Ecuyer and R. Couture. An implementation of the lattice and spectral tests for multiple recursive linear random number generators. INFORMS Journal on Computing, 9(2):206–217, 1997.
P. L'Ecuyer and R. Couture. LatMRG User’s Guide: A Modula-2 software for the theoretical analysis of linear congruential and multiple recursive random number generators, 2000. http://www.iro.umontreal.ca/ lecuyer/myftp/papers/guide-latmrg-m2.pdf.
P. L'Ecuyer, E. Bourceret, D. Munger, M.-A. Savard, R. Simard, M. Thiongane, and C. Weiss. Lattice tester. https://github.com/umontreal-simul/latticetester, 2022.
P. L'Ecuyer. Tables of maximally equidistributed combined LFSR generators. Mathematics of Computation, 68(225):261–269, 1999.
C. P. Schnorr and M. Euchner. Lattice basis reduction: Improved practical algorithms and solving subset sum problems. In L. Budach, editor, Fundamentals of Computation Theory: 8th International Conference, pages 68–85, Berlin, Heidelberg, 1991. Springer-Verlag.
V. Sinescu and S. Joe. Good lattice rules with a composite number of points based on the product weighted star discrepancy. In A. Keller, S. Heinrich, and H. Niederreiter, editors, Monte Carlo and Quasi-Monte Carlo Methods 2006, pages 645–658. Springer, 2008.
I. H. Sloan and S. Joe. Lattice methods for multiple integration. Oxford Science Publications. The Clarendon Press Oxford University Press, New York, 1994.