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Distance sets of two subsets of vector spaces over finite fields
- Author(s)
- Koh, Doowon, Sun, Hae-sang
- Issued Date
- 2015-04
- Citation
- PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.143, no.4, pp.1679 - 1692
- Abstract
- We investigate the size of the distance set determined by two subsets of finite dimensional vector spaces over finite fields. A lower bound of the size is given explicitly in terms of cardinalities of the two subsets. As a result, we improve upon the results by Rainer Dietmann. In the case that one of the subsets is a product set, we obtain further improvement on the estimate
- Publisher
- AMER MATHEMATICAL SOC
- ISSN
- 0002-9939
- Keyword (Author)
- Erd˝os distance problem, Finite fields
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