p-Ary and q-ary versions of certain results about bent functions and resilient functions

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• 作者：Hou ; Xiang-Dong
• 关键词：Bent function ; Gauss sum ; Resilient function ; Techmü ; ller character
• 刊名：Finite Fields and Their Applications
• 出版年：2004
• 出版时间：October, 2004
• 年：2004
• 卷：10
• 期：4
• 页码：566-582
• 全文大小：269 K

文摘

Using the Teichmüller character and Gauss sums, we obtain the following results concerning p-ary bent functions and q-ary resilient functions: (1) a characterization of certain q-ary resilient functions in terms of their coefficients; (2) stronger upper bounds for the degree of p-ary bent functions; (3) determination of all bent functions on F_p; (4) a characterization of ternary weakly regular bent functions in terms of their coefficients.