Minimum Distance Between Bent and Resilient Boolean Functions

LI Chao; QU Long-jiang

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Minimum Distance Between Bent and Resilient Boolean Functions

更新时间：2025-07-16

- Minimum Distance Between Bent and Resilient Boolean Functions
- Acta Electronica Sinica Vol. 36, Issue 1, Pages: 136-140(2008)
- 作者机构：
  
  1. 国防科技大学数学与系统科学系,湖南,长沙,410073
  2. 福建师范大学网络安全与密码技术重点实验室,福建,福州,350007
  3. 国防科技大学数学与系统科学系湖南长沙,410073
  4. 福建师范大学网络安全与密码技术重点实验室福建福州,350007
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN918
- Published：2008
- 稿件说明：
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LI Chao, QU Long-jiang. Minimum Distance Between Bent and Resilient Boolean Functions[J]. Acta Electronica Sinica, 2008, 36(1): 136-140.
DOI：

LI Chao, QU Long-jiang. Minimum Distance Between Bent and Resilient Boolean Functions[J]. Acta Electronica Sinica, 2008, 36(1): 136-140. DOI：

摘要

研究了Bent函数和弹性函数的最小距离

给出了求Bent函数和弹性函数的最小距离的一个新算法

得到了Bent函数和弹性函数最小距离新的下限

新的下限在一阶情形优于S.Maity等人在2004年给出的结果

同时证实了他们所提出的猜想

并且得到了12元、14元Bent函数和一阶弹性函数的最小距离.

Abstract

The minimum distance between Bent functions and Resilient functions is studied.An algorithm for calculating the minimum distance between Bent functions and resilient functions is given.We give a new lower bound for the minimum distance between Bent functions and 1-resilient functions.This new lower bound is better than that presented by S.Maity etc in 2004

and their conjectures are proven to be true.The minimum distances between Bent functions and 1-resilient functions on 12 and 14 variables are also given.

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