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

• Autorzy: Davide Schipani , Michele Elia
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 12Y05: Computational aspects of field theory and polynomials
• 12E30: Field arithmetic

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2011
• Tom: 59
• Numer: 1
• Strony: 11-18

Daty

wydano

2011

Twórcy

autor

Davide Schipani

• Institute of Mathematics, University of Zurich, 8057 Zürich, Switzerland

autor

Michele Elia

• Department of Electronics, Politecnico di Torino, 10129 Torino, Italy

Identyfikatory

DOI

10.4064/ba59-1-2