Affordable Access

Gauss Sums of the Cubic Character over $GF(2^m)$: an elementary derivation

Authors
  • Schipani, Davide
  • Elia, Michele
Type
Preprint
Publication Date
May 01, 2011
Submission Date
Dec 23, 2010
Source
arXiv
License
Yellow
External links

Abstract

An elementary approach is shown which derives the value of the Gauss sum of a cubic character over a finite field $\mathbb F_{2^s}$ without using Davenport-Hasse's theorem (namely, if $s$ is odd the Gauss sum is -1, and if $s$ is even its value is $-(-2)^{s/2}$).

Report this publication

Statistics

Seen <100 times