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一类APN幂函数的Walsh谱及其应用 被引量：1

The Walsh Spectrum of an APN Power Function and Its Application
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摘要 设n≥3为一正奇数,令d=(3n+1)/4+(3n-1)/2,则幂函数xd是有限域F3n上的几乎完全非线性函数,即APN(almost perfect nonlinear)函数。到目前为止,该APN函数的Walsh谱还未被确定。计算了APN幂函数xd的Walsh谱,并给出了所得结果的一点应用。 Let n≥3 be an odd positive integer and d=（3n＋1）/4＋（3n-1）/2.Then,the power function xd is an APN function over finite field F3n.The Walsh spectrum of this APN function is not determined up to now.The Walsh spectrum of xd is calculated and an application of this result is given.
作者 夏永波 张瑜
机构地区 中南民族大学数学与统计学学院
出处 《科学技术与工程》 2011年第33期8203-8205,8210,共4页 Science Technology and Engineering
基金 中南民族大学中央高校基本科研业务费专项项目(CZQ11009)资助
关键词 APN函数 WALSH谱 指数和 有限域 APN function Walsh spectrum exponential sum finite fields
分类号 TP309.2 [自动化与计算机技术—计算机系统结构]
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参考文献10

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同被引文献9

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科学技术与工程
2011年 第33期

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