JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (4): 7-10.doi: 10.6040/j.issn.1671-9352.0.2017.220

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On sumsets and translates of vector subspaces over finite fields

CAO Ya-meng, LI Jiao, LI Guo-quan*   

  1. College of Mathematics Science, Tianjin Normal University, Tianjin 300387, China
  • Received:2017-05-10 Online:2018-04-20 Published:2018-04-13

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Abstract: Let F np be a finite field model and A,B⊂F np, it is shown that there exist a vector subspaces V and a constant D>0 such that dim V≥D and A+B contains a translate of the subspace V.

Key words: dual group, sumset, Bohr set

CLC Number: 

  • O157.1
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[1] LI Fang, GUANG Ai-xia, LI Guo-quan. Sumsets and subsets of Bohr sets in finite abelian groups [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(2): 39-43.
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