On the additive energy of the distance set in finite fields

Igor E. Shparlinski

doi:10.1016/j.ffa.2016.08.001

On the additive energy of the distance set in finite fields

Igor E. Shparlinski

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We use character sums to derive new bounds on the additive energy of the set of distances (counted with multiplicities) between two subsets of a vector space over a given finite field. We also give applications to sumsets of distance sets.

Original language	English
Pages (from-to)	187-199
Number of pages	13
Journal	Finite Fields and their Applications
Volume	42
DOIs	https://doi.org/10.1016/j.ffa.2016.08.001
Publication status	Published - Nov 2016
Externally published	Yes

Keywords

distance sets
additive energy
finite fields
character sums

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10.1016/j.ffa.2016.08.001

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KW - additive energy

KW - finite fields

KW - character sums

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DO - 10.1016/j.ffa.2016.08.001

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JO - Finite Fields and their Applications

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SN - 1071-5797

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On the additive energy of the distance set in finite fields

Abstract

Keywords

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