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有限域的子空间表示及其应用(英文)

The Subspace Representations of Finite Field and Its Applications

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【Author】 LIU Shuxia1, ZHANG Chunhua2, MENG Guifen3, WANG Mei1 (1. College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, China; 2. Hengshui Radio and TV University, Hebei 053000, China; 3. Chengde Vocational Institute, Hebei 067000, China)

【机构】 College of Mathematics and Information Science, Hebei Normal University； Hengshui Radio and TV University； Chengde Vocational Institute；

【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.更多还原

【Abstract】 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.更多还原

【关键词】 finite field； association schemes.；
【Key words】 finite field； association schemes.；

【基金】 the Natural Science Foundation of Hebei Province (No.A2008000135)

【文献出处】数学研究与评论 ,Journal of Mathematical Research and Exposition , 编辑部邮箱 ,2008年04期

【分类号】O153
【被引频次】2
【下载频次】64

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