University of Oulu

On monomial exponential sums in certain index 2 cases and their connections to coding theory

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Author: Rinta-aho, Marko1
Organizations: 1University of Oulu, Faculty of Science, Department of Mathematical Sciences
Format: ebook
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 1.7 MB)
Persistent link: http://urn.fi/urn:isbn:9789514287374
Language: English
Published: 2008
Publish Date: 2008-06-04
Description:

Abstract

In this paper monomial exponential sums over finite fields in certain index 2 cases are considered. A recursion is given to compute these sums for most values of the parameters. For the remaining values we should know certain Gauss sums exactly, which seems to be a hard problem in general. Examples illustrating the methods and the remaining difficulties are given. Also, computational data is given showing what happens for small values of the parameters.

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Series: Acta Universitatis Ouluensis. A, Scientiae rerum naturalium
ISSN-E: 1796-220X
ISBN: 978-951-42-8737-4
ISBN Print: 978-951-42-8736-7
Issue: 503
Subjects:
Copyright information: © University of Oulu, 2008. This publication is copyrighted. You may download, display and print it for your own personal use. Commercial use is prohibited.