Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
An equivalence between (T, M, S)-nets and strongly orthogonal hypercubes
Journal of Combinatorial Theory Series A
Extensions of Generalized Product Caps
Designs, Codes and Cryptography
A direct approach to linear programming bounds for codes and tms-nets
Designs, Codes and Cryptography
A Dual Plotkin Bound for (T,M,S) -Nets
IEEE Transactions on Information Theory
Low-Discrepancy Sequences and Global Function Fields with Many Rational Places
Finite Fields and Their Applications
Constructions of (t ,m,s)-nets and (t,s)-sequences
Finite Fields and Their Applications
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Many different constructions for (t,m,s)-nets and (t,s)-sequences are known today. Propagation rules as well as connections to other mathematical objects make it difficult to determine the best net available in a given setting. The MinT database developed by the authors is one of the most elaborate solutions to this problem. In this article we discuss some aspects of the theory that makes MinT work. We also provide a synopsis of the strongest bounds and existence results known today as determined by MinT.