一类平衡相关免疫多输出k阶拟Bent函数的构造

Construction of a Class of Multi-Output k-Order Quasi-Bent Functions with Balance and Correlation-Immunity

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.