| The Subspace Representations of Finite Field and Its Applications |
| Received:September 11, 2006 Revised:January 19, 2007 |
| Key Words:
finite field association schemes.
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| Fund Project:the Natural Science Foundation of Hebei Province (No.A2008000135). |
| Author Name | Affiliation | | LIU Shuxia | College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, China | | ZHANG Chunhua | Hengshui Radio and TV University, Hebei 053000, China | | MENG Guifen | Chengde Vocational Institute, Hebei 067000, China | | WANG Mei | College of Mathematics and Information Science, Hebei Normal University, Hebei 050016, China |
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| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2008.04.038 |
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