摘要
多输出拟Bent函数是一类密码学性质优良的密码函数,在非线性组合函数设计中有重要应用。利用映射的特征矩阵给出一类平衡相关免疫多输出k阶拟Bent函数的构造方法。所构造出的多输出拟k阶拟Bent函数可广泛应用于分组密码的S-盒设计和最佳信号设计等领域。
Multi-output quasi-bent functions have good cryptographic properties and are important in the design of nonlinear combining functions.Uses the methods to give the multi-output k-order quasi-bent functions method with balance and correlation-immunity by the characteristic matrix of mapping.It can be widely applied in those fields such as S-box of block ciphers and best signal designs etc.
基金
国家自然基金项目(No.61163025)
内蒙古自然科学基金资助项目(No.2010BS0904)
安徽省高等学校省级优秀青年人才基金项目(No.2010SQRL223)