摘要： 分析2种类型的SPN结构的安全性,即16类最佳仿射等价4×4 S盒的代表元与上述16个代表元所在的置换等价类。对得到的具体两轮SPN结构,通过最大差分可能概率(MEDP)、最大线性偏差可能概率(MELP)等指标进行刻画。分析结果表明,利用置换等价类作为两轮SPN结构的混淆层,相比仿射等价类代表元,在MELP指标上没有明显差别,而在MEDP指标上分布则更加集中,抵抗差分攻击的能力更强。

关键词: SPN结构, 仿射等价类, 置换等价类, 密码学, 安全性

Abstract: This paper analyzed two different ways of the security of SPN structure,16 different optimal S-Boxes classified and permutation equivalence class whose representative elements are the 16 elements mentioned above.It evaluates the two different results by two cryptographic properties:Maximum Everage Differential Probablities(MEDP),Maximum Everage Linear Hull Probablities(MELP).Analysis results show that the permutation equivalence class as the confuse layers are more concertrated,which measns has a better ability to resist differential attack than those constructed by using affine equivalence class in MEDP,while the other cryptographic properties make no difference in MELP.

Key words: SPN structure, affine equivalence class, permutation equivalence class, cryptography, security

中图分类号: 

• TP309