Critical Problems of Totally Isotropic Subspaces in Finite Orthogonal Spaces

Yan-bing Zhao1, Guo-dong Qian2, Yu-lin Zhong3
1Department of Basic Courses, Zhangjiakou Vocational College of Technology, Zhangjiakou, 075051, China
2 Department of Computer Science, Hebei North University, Zhangjiakou, 075051, China
3Department of Basic Courses, Hainan Software Profession Institute, Qionghai, 571000, China

Abstract

As applications of the Anzahl theorems in finite orthogonal spaces, we study the critical problem of totally isotropic subspaces, and obtain the critical exponent.