The Spectrum Support’s Properties of Plateaued Functions

HU Bin; XING Hong-ming

doi:10.3969/j.issn.0372-2112.2014.05.017

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The Spectrum Support’s Properties of Plateaued Functions

更新时间：2025-07-16

- The Spectrum Support’s Properties of Plateaued Functions
- Acta Electronica Sinica Vol. 42, Issue 5, Pages: 948-952(2014)
- 作者机构：
  
  1. 解放军信息工程大学,河南,郑州,450004
  2. 河南林业职业学院,河南,洛阳,471002
  3. 解放军信息工程大学,河南,郑州,450004
  4. 河南林业职业学院,河南,洛阳,471002
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61272041, No.61202491, No.61272488)
- DOI：10.3969/j.issn.0372-2112.2014.05.017
  CLC： TN918
- Published：2014
- 稿件说明：
移动端阅览
HU Bin, XING Hong-ming. The Spectrum Support’s Properties of Plateaued Functions[J]. Acta Electronica Sinica, 2014, 42(5): 948-952.
DOI：

HU Bin, XING Hong-ming. The Spectrum Support’s Properties of Plateaued Functions[J]. Acta Electronica Sinica, 2014, 42(5): 948-952. DOI： 10.3969/j.issn.0372-2112.2014.05.017.

摘要

本文对Plateaued函数的谱支撑集的结构与性质进行了深入研究，给出了

阶Plateaued函数的全体非0谱值点集合与线性结构集的维数之间的关系.利用谱指标对2阶Plateaued函数和4阶Plateaued函数的自相关性进行了详细分析，给出了其自相关系数的分布.分析了

阶Plateaued函数的谱支撑集和零谱值点集的结构特征，给出了多个

阶Plateaued函数的谱支撑集在不相交时自相关系数之间的关系以及谱支撑集与函数平衡性的关系.

Abstract

This paper discusses the structure and properties of spectrum support for plateaued functions.We give the relationship between the set of rth-order plateaued functions’ all nonzero walsh spectrum points and the dimension of linear structure set.Meanwhile

we utilize spectrum index to analyze the autocorrelation properties of both second-order and 4th-order plateaued functions.And the distribution of their autocorrelation coefficient is given.Moreover

we talk about the structure characteristics of rth-order plateaued functions’ spectrum support and zero walsh spectrum points set.We present the relationship among their autocorrelation coefficients and point out the relationship between the spectrum support and the balance property when more rth-order plateaued functions’ spectrum supports are not cross.

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