New open problems related to old conjectures by Helleseth

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• 作者：Daniel J. Katz ; Philippe Langevin
• 刊名：Cryptography and Communications
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：8
• 期：2
• 页码：175-189
• 全文大小：235 KB
• 刊物类别：Computer Science
• 刊物主题：Coding and Information Theory
  Mathematics of Computing
  
• 出版者：Springer New York
• ISSN：1936-2455
• 卷排序：8

文摘

Recently, very interesting results have been obtained concerning the Fourier spectra of power permutations over a finite field. In this note we survey the recent ideas of Aubry, Feng, Katz, and Langevin, and we pose new open problems related to old conjectures proposed by Helleseth in the middle of the seventies.KeywordsFinite fieldsWeil sumsExponential sumsCross-correlationM-sequence