bent-negabent函数的构造

doi:10.6040/j.issn.1671-9352.0.2014.409

山东大学学报（理学版） ›› 2015, Vol. 50 ›› Issue (10): 47-51.doi: 10.6040/j.issn.1671-9352.0.2014.409

bent-negabent函数的构造

卓泽朋, 崇金凤, 魏仕民

淮北师范大学数学科学学院, 安徽淮北 235000

收稿日期:2014-09-12 修回日期:2015-07-22 出版日期:2015-10-20 发布日期:2015-10-21
作者简介:卓泽朋(1978-),男,博士,副教授,研究方向密码学及信息安全.E-mail:zzp781021@sohu.com
基金资助:
安徽高校省级自然科学基金资助项目(KJ2014A220;KJ2014A231;KJ2013B083)

Constructions of bent-negabent Boolean functions

ZHUO Ze-peng, CHONG Jin-feng, WEI Shi-min

School of Mathematical Science, Huaibei Normal University, Huaibei 235000, Anhui, China

Received:2014-09-12 Revised:2015-07-22 Online:2015-10-20 Published:2015-10-21

摘要/Abstract

摘要： 给出了一种新的negabent函数的构造, 基于此构造和已有的bent函数的构造, 得到了一种bent-negabent函数的构造;分析了一类由4个函数级联所得函数的性质, 给出了这类函数为negabent函数的必要条件;给出了bent-negabent函数的一种直和构造。

关键词: negabent函数, bent函数, 布尔函数

Abstract: A new method to construct negabent function was provided. Based on it, a construction of bent-negabent function was obtained. And then, the special Boolean function by concatenation was investigated. A necessary conditions for this Boolean function to be a negabent function was presented. Finally, the direct sum construction of bent-negabent function is given.

Key words: negabent function, bent function, Boolean function

中图分类号:

TN918.1

卓泽朋, 崇金凤, 魏仕民. bent-negabent函数的构造[J]. 山东大学学报（理学版）, 2015, 50(10): 47-51.

ZHUO Ze-peng, CHONG Jin-feng, WEI Shi-min. Constructions of bent-negabent Boolean functions[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(10): 47-51.

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bent-negabent函数的构造

Constructions of bent-negabent Boolean functions

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