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中国科学院大学学报 ›› 2003, Vol. 20 ›› Issue (3): 353-357.DOI: 10.7523/j.issn.2095-6134.2003.3.015

• 论文 • 上一篇    下一篇

Galois环上弹性函数的构造(英文)

胡磊1, 文铁华2, 冯登国1   

  1. 1. 中国科学院研究生院信息安全国家重点实验室, 北京 100039
    2. 中南大学信息科学与工程学院, 长沙 410083
  • 收稿日期:2002-09-02 修回日期:2002-11-13 发布日期:2003-05-10

Construction of Resilient Functions over a Galois Ring

HU Lei1, WEN TieHua2, FENG DengGuo1   

  1. 1. State Key Laboratory of Information Security, Graduate School, Chinese Academy of Sciences, Beijing 100039, China;
    2. School of Information Science and Engineering, Zhongnan University, Changsha 410083, China
  • Received:2002-09-02 Revised:2002-11-13 Published:2003-05-10
  • Supported by:

    supported by the National Natural Science Foundation of China (Grant No.90104034) and the 863 Program (Grant No.2002AA141020)

摘要:

给出了Galois环上弹性函数的一种构造方法:通过拟仿射函数组合若干弹性函数得到更高弹性阶的弹性函数。讨论了拟仿射函数的构造,结果显示存在丰富的拟仿射函数

关键词: 弹性函数, Galois环, 函数的组合, 拟仿射函数

Abstract:

Presents a method to combine resilient functions over a Galois ring by a quasi-affine function to get a new resilient function of higher resilient order.From the discussion of the construction of quasi-affine functions, it is seen that there are abundant choices of quasi-affine functions.

Key words: resilient function, Galois ring, combination of function, quasi-affine function CLC TP309

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