Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 43, 2018, 171-185

PROJECTIONS IN VECTOR SPACES OVER FINITE FIELDS

Changhao Chen

The University of New South Wales, School of Mathematics and Statistics
Sydney NSW 2052, Australia; changhao.chenm 'at' gmail.com

Abstract. We study the projections in vector spaces over finite fields. We prove finite fields analogues of the bounds on the dimensions of the exceptional sets for Euclidean projection mapping. We provide examples which do not have exceptional projections via projections of random sets. In the end we study the projections of sets which have the (discrete) Fourier decay.

2010 Mathematics Subject Classification: Primary 05B25, 52C99.

Key words: Exceptional sets of projections, finite fields, random subsets, Fourier transform.

Reference to this article: C. Chen: Projections in vector spaces over finite fields. Ann. Acad. Sci. Fenn. Math. 43 (2018), 171-185.

Full document as PDF file

https://doi.org/10.5186/aasfm.2018.4307