Construction of digital nets from BCH-Codes

coauthor Jürgen Bierbrauer

Proceedings of Monte Carlo and Quasi-Monte Carlo Methods, Salzburg 1996, Lecture Notes in Statistics 127 (1997), 221 - 231.


We establish a link between the theory of error-correcting codes and the theory of (t,m,s)-nets. This leads to the fundamental problem of net embeddings of linear codes. Our main result is the construction of four infinite families of digital (t,m,s)-nets based on BCH-codes.

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