%0 Journal Article
%T Construction of Boolean Functions with Maximum Algebraic Immunity<br>一类代数免疫度达到最优的布尔函数的构造
%A MENG Qiang
%A CHEN Lu-Sheng
%A FU Fang-Wei
%A <br>孟强
%A 陈鲁生
%A 符方伟
%J 软件学报
%D 2010
%I 
%X This paper presents a construction of Boolean functions with the maximum algebraic immunity on even number of variables. It also gives a construction of balanced rotation symmetric Boolean functions with the maximum algebraic immunity on even number of variables. This paper uses some results of linear algebra and enumerative combinatorics in the constructions. These functions have strong resistance against algebraic attacks. The balanced rotation symmetric Boolean functions constructed can also be used in the construction of safer hashing functions.
%K algebraic attack
%K algebraic immunity
%K nonlinearity
%K rotation symmetric
%K Boolean function<br>代数攻击
%K 代数免疫度
%K 非线性度
%K 旋转对称
%K 布尔函数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=7735F413D429542E610B3D6AC0D5EC59&aid=003A15079CE6E51173EA69EC7A56647B&yid=140ECF96957D60B2&vid=659D3B06EBF534A7&iid=DF92D298D3FF1E6E&sid=EC1380648154B673&eid=1FDC6DA6F37D438C&journal_id=1000-9825&journal_name=软件学报&referenced_num=1&reference_num=10