✦ LIBER ✦

Low-Discrepancy Sequences and Global Function Fields with Many Rational Places

✍ Scribed by Harold Niederreiter; Chaoping Xing

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 404 KB
Volume: 2
Category: Article
ISSN: 1071-5797
DOI: 10.1006/ffta.1996.0016

No coin nor oath required. For personal study only.

✦ Synopsis

We construct digital (t, s)-sequences in a prime-power base q for which the quality parameter t has the least possible order of magnitude. The construction uses algebraic function fields over the finite field of order q which contain many places of degree 1 relative to the genus.