一类分段线性混沌映射及其密码应用研究

Piecewise linear chaotic map and its cipher applications

分段线性混沌映射应用于数字密码系统需多次迭代,降低了加密速度.针对这一问题,提出了一类区间数目参数化的分段线性混沌映射.通过对实现精度、区间数目参数、迭代次数的分析,得到了3者关系的函数表达式.应用此类映射的数字密码系统随着区间数目参数变大,降低了所需迭代次数的最小值,提高了加密速度.引入面积-时间权衡参数,可以选择最佳的区间数目参数,达到加密速度与硬件实现电路面积兼顾的目的,从而实现系统的最优化.

The application of the piecewise linear chaotic map （PLCM） in the digital encryption system always requires multiple iteration, which lowers the encryption speed. A new PLCM with a segment number parameter （SNP） was advanced. The precision, SNP and the number of iterations were analyzed, and their mathematical relationship was developed. In the digital encryption system using the presented map, the larger the SNP is adopted, the smaller the number of iteration is needed, and hence the higher the encryption speed. With the incorporation of the area-time trade-off parameter, a most appropriate SNP can be achieved, through which the digital system is optimized.