Gauss Sums of the Cubic Character over GF(2m): an Elementary Derivation

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2011Embargo end date: 14 Jan 2012 Italy, Switzerland English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Bulletin of the Polish Academy of Sciences Mathematics, volume 59, pages 11-18 (issn: 0239-7269, eissn: 1732-8985,

Copyright policy )Funded by:SNSF | New Cryprosystems based o..., SNSF | Algebraic Constructions o...

Authors: Schipani D.; ELIA, Michele;

doi: 10.4064/ba59-1-2 , 10.5167/uzh-55178 , 10.48550/arxiv.1012.5320

arXiv: 1012.5320

handle: 11583/2440618

Gauss Sums of the Cubic Character over GF(2m): an Elementary Derivation

- Summary
- Subjects
- Metrics

Abstract

By an elementary approach, we derive the value of the Gauss sum of a cubic character over a finite field F2s without using Davenport–Hasse's theorem (namely, if s is odd the Gauss sum is −1, and if s is even its value is −(−2)s/2).

Countries

Italy, Switzerland

Related Organizations

EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH
Switzerland
University of Zurich
Switzerland
Polytechnic University of Turin
Italy

Keywords

10123 Institute of Mathematics, 510 Mathematics, Mathematics - Number Theory, Gauss sum; character; binary finite fields, FOS: Mathematics, Number Theory (math.NT)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	2
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average