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Codes Associated with [Image omitted] and Power Moments of Kloosterman Sums

  We shall construct three binary linear codes [Image omitted] a power of two. Then we obtain recursive formulas for the power moments of Kloosterman and 2-dimensional Kloosterman sums in terms of the frequencies of weights in the codes. This is done via the Pless power moment identity and by utiliz... Full description

Journal Title: Integers Apr 2012, Vol.12(2), pp.237-257
Main Author: Kim, Dae San
Format: Electronic Article Electronic Article
Language: English
Subjects:
ID: ISSN: 18670652 ; E-ISSN: 18670660 ; DOI: 10.1515/integ.2011.100
Link: http://search.proquest.com/docview/1820250487/?pq-origsite=primo
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recordid: proquest1820250487
title: Codes Associated with [Image omitted] and Power Moments of Kloosterman Sums
format: Article
creator:
  • Kim, Dae San
subjects:
  • Codes
  • Kloosterman Sum
  • Orthogonal Group
  • Pless Power Moment Identity
  • Weight Distribution
  • Gauss Sum .
ispartof: Integers, Apr 2012, Vol.12(2), pp.237-257
description:   We shall construct three binary linear codes [Image omitted] a power of two. Then we obtain recursive formulas for the power moments of Kloosterman and 2-dimensional Kloosterman sums in terms of the frequencies of weights in the codes. This is done via the Pless power moment identity and by utilizing the explicit expressions of Gauss sums for the orthogonal groups.
language: eng
source:
identifier: ISSN: 18670652 ; E-ISSN: 18670660 ; DOI: 10.1515/integ.2011.100
fulltext: fulltext
issn:
  • 18670652
  • 1867-0652
  • 18670660
  • 1867-0660
url: Link


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description  We shall construct three binary linear codes [Image omitted] a power of two. Then we obtain recursive formulas for the power moments of Kloosterman and 2-dimensional Kloosterman sums in terms of the frequencies of weights in the codes. This is done via the Pless power moment identity and by utilizing the explicit expressions of Gauss sums for the orthogonal groups.
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titleCodes Associated with [Image omitted] and Power Moments of Kloosterman Sums
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abstract  We shall construct three binary linear codes [Image omitted] a power of two. Then we obtain recursive formulas for the power moments of Kloosterman and 2-dimensional Kloosterman sums in terms of the frequencies of weights in the codes. This is done via the Pless power moment identity and by utilizing the explicit expressions of Gauss sums for the orthogonal groups.
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date2012-04-01