【摘要】 正形置换具有良好的密码学性质,可用于分组密码的设计以抵抗密码分析.正形置换目前还没有成熟的构造方法.本文从正形拉丁方截集的角度出发,通过正形拉丁方的增长实现了由n-bit正形置换生成(n+1)-bit正形置换的构造过程.该方法能够迭代产生大量的非线性正形置换,而且算法形式简洁,可用于动态产生正形置换.该结果提供了一个研究正形置换结构和构造方法的新思路.更多还原

【Abstract】 Due to good cryptographic properties,orthomorphisms play an important role in cryptography for resisting cryptanalysis.A new method is presented to construct an(n+1)-bit orthomorphism from an n-bit one where(n>1.) First,details of the method are provided and discussed.Then a simple example is presented to show how a(2-bit orthomorphism is expanded,) rearranged,and selected to form a 3-bit one.Some experimental data are analyzed to demonstrate the efficiency of the construction.The method is not only a new way to construct orthomorphisms but also a new attempt of research in orthomorphism structure for building a relationship between n-bit orthomorphisms and(n+1)-bit ones.更多还原