Number Theory Seminar

Seminar information archive ~04/13Next seminarFuture seminars 04/14~

Date, time & place Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Naoki Imai, Shane Kelly

2013/06/26

16:40-17:40   Room #056 (Graduate School of Math. Sci. Bldg.)
Kousuke Suzuki (University of Tokyo)
An explicit construction of point sets with large minimum Dick weight (JAPANESE)
[ Abstract ]
Walsh figure of merit WAFOM($P$) is a quality measure of point sets $P$ for quasi-Monte Carlo integration constructed by a digital net method. WAFOM($P$) is bounded by the minimum Dick weight of $P^¥perp$, where the Dick weight is a generalization of Hamming weight. In this talk, we give an explicit construction of point sets with large minimum Dick weight using Niederreiter-Xing sequences and Dick's interleaving construction. These point sets are also examples of low-WAFOM point sets.