Camellia算法的线性扩散层是8阶字节级(0,1)-矩阵。由于该矩阵的分组较宽且异或项数较多,因此难以建立精确的字节级自动化分析评估模型。目前,仅利用线性扩散矩阵分支数为5的性质评估出的算法得到的差分和线性活跃S盒偏少。针对以上问题...Camellia算法的线性扩散层是8阶字节级(0,1)-矩阵。由于该矩阵的分组较宽且异或项数较多,因此难以建立精确的字节级自动化分析评估模型。目前,仅利用线性扩散矩阵分支数为5的性质评估出的算法得到的差分和线性活跃S盒偏少。针对以上问题,提出了一种基于混合整数线性规划(Mixed Integer Linear Programming,MILP)来建立复杂(0,1)-线性扩散矩阵字节级评估模型的通用方法。该方法利用线性扩散矩阵的内部性质快速且较精确地搜索出Camellia算法的差分和线性活跃S盒,从而能够得到Camellia算法更紧致的差分和线性安全界。该方法对基于(0,1)-线性扩散矩阵设计的密码算法有一定的指导意义,能够更清楚地评估出算法的安全界。展开更多
A symbol level secure precoding scheme based on band-region constraint of the eavesdropper’s receiving signal is proposed to enhance the energy efficiency of cell-free multiple-input multiple-output(MIMO)networks in ...A symbol level secure precoding scheme based on band-region constraint of the eavesdropper’s receiving signal is proposed to enhance the energy efficiency of cell-free multiple-input multiple-output(MIMO)networks in the presence of an eavesdropper while guaranteeing the quality of service(QoS)of user and the security of system.Moreover,to lighten its high computational complexity,original problem is divided into several cascade sub-problems firstly,and then those sub-problems are handled by combining Lagrangian dual function and improved Hooke-Jeeves method together.Comparative ex-periment with other secure symbol-level precoding schemes demonstrate that proposed scheme can achieve the lower power consumption with almost same symbol error rate and QoS of user.展开更多
文摘Camellia算法的线性扩散层是8阶字节级(0,1)-矩阵。由于该矩阵的分组较宽且异或项数较多,因此难以建立精确的字节级自动化分析评估模型。目前,仅利用线性扩散矩阵分支数为5的性质评估出的算法得到的差分和线性活跃S盒偏少。针对以上问题,提出了一种基于混合整数线性规划(Mixed Integer Linear Programming,MILP)来建立复杂(0,1)-线性扩散矩阵字节级评估模型的通用方法。该方法利用线性扩散矩阵的内部性质快速且较精确地搜索出Camellia算法的差分和线性活跃S盒,从而能够得到Camellia算法更紧致的差分和线性安全界。该方法对基于(0,1)-线性扩散矩阵设计的密码算法有一定的指导意义,能够更清楚地评估出算法的安全界。
基金the National Natural Science Foundation of China(No.61976080)the Key Research Projects in Henan Province of China(No.231111212500).
文摘A symbol level secure precoding scheme based on band-region constraint of the eavesdropper’s receiving signal is proposed to enhance the energy efficiency of cell-free multiple-input multiple-output(MIMO)networks in the presence of an eavesdropper while guaranteeing the quality of service(QoS)of user and the security of system.Moreover,to lighten its high computational complexity,original problem is divided into several cascade sub-problems firstly,and then those sub-problems are handled by combining Lagrangian dual function and improved Hooke-Jeeves method together.Comparative ex-periment with other secure symbol-level precoding schemes demonstrate that proposed scheme can achieve the lower power consumption with almost same symbol error rate and QoS of user.
