Skip to Main content Skip to Navigation
Conference papers

Some Results on Kloosterman Sums and their Minimal Polynomials

Faruk Gölöglu 1 Gary Mcguire 1 Richard Moloney 1
1 School of Mathematical Sciences [Dublin]
Abstract : This paper introduces two new results on Kloosterman sums and their minimal polynomials. We characterise ternary Kloosterman sums modulo 27. We also prove a congruence concerning the minimal polynomial over ℚ of a Kloosterman sum. This paper also serves as a survey of our recent results on binary Kloosterman sums modulo 16, 32, 64 and 128 with Petr Lisonek.
Document type :
Conference papers
Complete list of metadata

Cited literature [18 references]  Display  Hide  Download
https://hal.inria.fr/inria-00614460
Contributor : Marie Trape <>
Submitted on : Thursday, August 11, 2011 - 3:05:12 PM
Last modification on : Wednesday, November 29, 2017 - 10:26:42 AM
Long-term archiving on: : Monday, November 12, 2012 - 3:18:19 PM

File

Vignette du document
114.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00614460, version 1

Collections

INSMI | WCC2011 | TDS-MACS

Citation

Faruk Gölöglu, Gary Mcguire, Richard Moloney. Some Results on Kloosterman Sums and their Minimal Polynomials. WCC 2011 - Workshop on coding and cryptography, Apr 2011, Paris, France. pp.405-412. ⟨inria-00614460⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

169

Files downloads

296

 

Contact                    Legal Notice                    Personal Data