北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2008, Vol. 31 ›› Issue (3): 59-62.doi: 10.13190/jbupt.200803.59.277

• 论文 • 上一篇    下一篇

对称相关免疫函数的构造

莫 骄, 温巧燕   

  1. 北京邮电大学 理学院, 北京 100876
  • 收稿日期:2007-05-24 修回日期:1900-01-01 出版日期:2008-06-28 发布日期:2008-06-28
  • 通讯作者: 莫 骄

The Constructions of Symmetric
Correlation Immune Functions

MO Jiao, WEN Qiao-yan   

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • Received:2007-05-24 Revised:1900-01-01 Online:2008-06-28 Published:2008-06-28
  • Contact: MO Jiao

摘要:

n元1阶对称相关免疫函数的构造等价于某个线性方程在二元域上的求解.通过求解该线性方程的等价方程,在5种情形下求出了该线性方程的部分解,从而在5种情形下构造出了部分n元1阶对称相关免疫函数.其中4种情形的构造是本文新提出的.

关键词: 对称函数, 相关免疫函数, 线性方程

Abstract:

The construction of symmetric correlation immune functions with n variables is equivalent to the solution in the binary field for a certain linear equation. When solving the equivalent equation of this linear equation, a part of solutions for this linear equation will be found out in six cases. Numbers of symmetric correlation immune functions with n variables are constructed in these cases. Four of the six constructions are found firstly.

Key words: symmetric functions, correlation immune functions, linear equation

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