Construction of Boolean Functions With Optimal Algebraic Immunity

被引:0
|
作者
Liu, Hang [1 ]
Zheng, Dong [1 ,2 ]
Zhao, Qinglan [1 ,3 ]
机构
[1] Xian Univ Posts & Telecommun, NELWS Lab, Xian 710121, Peoples R China
[2] Westone Cryptol Res Ctr, Beijing 100070, Peoples R China
[3] Shanghai Jiao Tong Univ, Shanghai 200240, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1007/978-3-319-49106-6_80
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
Boolean functions with good cryptographic properties act as important nonlinear components in symmetric cryptography which is often used to encrypt stored data for cloud computing. In this paper, we develop a new class of Boolean functions with optimal algebraic immunity by utilizing the Reed-Muller code. In addition, our new functions are balanced and have good nonlinearity.
引用
收藏
页码:791 / 798
页数:8
相关论文
共 50 条
  • [21] Identification and construction of Boolean functions with maximum algebraic immunity
    Liu MeiCheng
    Pei DingYi
    Du YuSong
    [J]. SCIENCE CHINA-INFORMATION SCIENCES, 2010, 53 (07) : 1379 - 1396
  • [22] A New Construction of Boolean Functions with Maximum Algebraic Immunity
    Dong, Deshuai
    Fu, Shaojing
    Qu, Longjiang
    Li, Chao
    [J]. INFORMATION SECURITY, PROCEEDINGS, 2009, 5735 : 177 - 185
  • [24] Construction and enumeration of Boolean functions with maximum algebraic immunity
    Zhang WenYing
    Wu ChuanKun
    Liu XiangZhong
    [J]. SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2009, 52 (01): : 32 - 40
  • [25] Construction and enumeration of Boolean functions with maximum algebraic immunity
    ZHANG WenYing1
    2 State Key Lab of Information Security
    3 No. 2 Middle School Attached to Shandong Normal University
    [J]. Science China(Information Sciences), 2009, (01) : 32 - 40
  • [26] Construction and enumeration of Boolean functions with maximum algebraic immunity
    WenYing Zhang
    ChuanKun Wu
    XiangZhong Liu
    [J]. Science in China Series F: Information Sciences, 2009, 52 : 32 - 40
  • [27] A matrix construction of Boolean functions with maximum algebraic immunity
    Yonghong Xie
    Lei Hu
    [J]. Journal of Systems Science and Complexity, 2012, 25 : 792 - 801
  • [28] A MATRIX CONSTRUCTION OF BOOLEAN FUNCTIONS WITH MAXIMUM ALGEBRAIC IMMUNITY
    Yonghong XIE
    Lei HU
    [J]. Journal of Systems Science & Complexity, 2012, 25 (04) : 792 - 801
  • [29] On the construction of balanced Boolean functions with a good algebraic immunity
    Carlet, C
    Gaborit, P
    [J]. 2005 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), VOLS 1 AND 2, 2005, : 1101 - 1105
  • [30] A Combinatorial Condition and Boolean Functions with Optimal Algebraic Immunity
    JIN Qingfang
    LIU Zhuojun
    WU Baofeng
    ZHANG Xiaoming
    [J]. Journal of Systems Science & Complexity, 2015, 28 (03) : 725 - 742