On the set of distances between two sets over finite fields

Igor Shparlinski

doi:10.1155/IJMMS/2006/59482

On the set of distances between two sets over finite fields

Igor Shparlinski

School of Computing

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

16 Citations (Scopus)

14 Downloads (Pure)

Abstract

We use bounds of exponential sums to derive new lower bounds on the number of distinct distances between all pairs of points (x, y) ∈ A × ℬ for two given sets A, ℬ ∈ F_qⁿ, where F_q is a finite field of q elements and n ≥ 1 is an integer.

Original language	English
Article number	59482
Pages (from-to)	1-5
Number of pages	5
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2006
DOIs	https://doi.org/10.1155/IJMMS/2006/59482
Publication status	Published - 2006

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On the set of distances between two sets over finite fields

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