计算机科学 ›› 2020, Vol. 47 ›› Issue (11A): 368-372.doi: 10.11896/jsjkx.191200036
韩羽, 张文政, 董新锋
HAN Yu, ZHANG Wen-zheng, DONG Xin-feng
摘要： 带陷门的分组密码算法是一种可以满足特定场景下特殊需求的密码算法,陷门函数被广泛地应用于非对称加密算法中,考虑将非对称加密中陷门函数的思想引入分组密码。分组密码算法的核心是S盒,是绝大多数分组算法中唯一的非线性部件,在加密过程中起到混淆的作用,因此在构造分组算法的陷门时主要就是研究在S盒中植入陷门。针对这个问题,文中主要研究了基于陪集对有限域进行线性划分的代数性质来构造陷门S盒的方法,这种陷门S盒的陷门信息就是线性划分的方法。文中首先介绍了线性划分设计陷门算法和陷门S盒的原理,构造了一种映射在线性划分上的8×8陷门S盒,给出了具体的构造方法,并分析了这种S盒的线性性质和差分性质。为了说明这种S盒的安全性和实用性,采用Bannier等提出的陷门分组算法作为模型,简要地验证分析了陷门的有效性,证明了陷门S盒和陷门算法对线性分析和差分分析的安全性。
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