The Subspace Representations of Finite Field and Its Applications  

有限域的子空间表示及其应用(英文)

作　　者：刘淑霞 张春花 孟桂芬 王梅 

机构地区：[1]College of Mathematics and Information Science, Hebei Normal University [2]Hengshui Radio and TV University [3]Chengde Vocational Institute

出　　处：《Journal of Mathematical Research and Exposition》2008年第4期1021-1026,共6页数学研究与评论（英文版）

基　　金：the Natural Science Foundation of Hebei Province (No.A2008000135)

摘　　要：In this paper, some problems on representations of subspace in a finite field are discussed, a result in [3] is generalized, and a new proof about Singer Difference Sets is given. Finally, a class of association schemes are constructed by all affine hyperplanes in a finite field and the parameters are computed.In this paper, some problems on representations of subspace in a finite field are discussed, a result in [3] is generalized, and a new proof about Singer Difference Sets is given. Finally, a class of association schemes are constructed by all affine hyperplanes in a finite field and the parameters are computed.

关 键 词：finite field association schemes. 

分 类 号：O153[理学—数学]