On the Walsh Transform of a Class of Functions From Niho Exponents

Li N.; Helleseth T.; Kholosha A.; Tang X.

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On the Walsh Transform of a Class of Functions From Niho Exponents

机译：从Niho指数论一类函数的沃尔什变换

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摘要

In this paper, a class of functions from Niho exponents with four-valued Walsh transform is obtained for any prime by a uniform method, and the distribution of the Walsh transform values is also completely determined. In particular, this class of functions is proven to be bent for a special case. Although it is shown that the obtained bent functions are equivalent to the Leander–Kholosha's class of bent functions, a direct and much simpler proof for the bentness of this kind of Niho functions is provided.

机译：本文采用均匀方法，针对任意质数，从具有四值沃尔什变换的Niho指数中获得了一类函数，并且还完全确定了沃尔什变换值的分布。特别是，这类功能被证明在特殊情况下可以弯曲。尽管已证明所获得的弯曲函数与Leander–Kholosha类的弯曲函数等效，但仍为这种Niho函数的弯曲度提供了直接且简单得多的证明。

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来源
《IEEE Transactions on Information Theory》 |2013年第7期|4662-4667|共6页
作者
Li N.; Helleseth T.; Kholosha A.; Tang X.;
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作者单位

Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu, China|c|;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Distribution; Niho exponent; Parseval's equation; Walsh transform;

机译：分布;Niho指数;Parseval方程;沃尔什变换;

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3. Semibent Functions From Dillon and Niho Exponents, Kloosterman Sums, and Dickson Polynomials [J] . Mesnager S. Information Theory, IEEE Transactions on . 2011,第11期

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8. New Capabilities of Walsh Functions and Walsh Transforms. [R] . Cheng, D. K. 1977

机译：沃尔什函数和沃尔什变换的新能力。

On the Walsh Transform of a Class of Functions From Niho Exponents

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