[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2005.20.1.015

A NOTE ON NULL DESIGNS OF DUAL POLAR SPACES

CHO, SOO-JIN (Department of Mathematics Ajou Univrsity)

Publication Information

Communications of the Korean Mathematical Society / v.20, no.1, 2005 , pp. 15-21 More about this Journal

Abstract

Null designs on the poset of dual polar spaces are considered. A poset of dual polar spaces is the set of isotropic subspaces of a finite vector space equipped with a nondegenerate bilinear form, ordered by inclusion. We show that the minimum number of isotropic subspaces to construct a nonzero null t-design is ${\prod}^{t}_{i=0}(1+q^{i})$ for the types $B_N,\;D_N$ , whereas for the case of type $C_N$ , more isotropic subspaces are needed.

Keywords

null designs; minimal null designs; dual polar spaces;

Citations & Related Records

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