New Construction of Cryptographic Functions Satisfying PC(l) of Order k
Wei Yong-zhuang①②; Gao Jun-tao①; Hu Yu-pu①
Information Security & Privacy Institute ISN National Key Lab., Xidan University Xi’an 710071 China; ②Dept of Comm. And Info. Eng., Guilin Univ. of Electronic Tech., Guilin 541004 China
Abstract:In this paper, a new generalized construction method for correlation immune Boolean function satisfying PC(l) of order k is provided. The construction is based on the use of linear error-correcting codes together with bijective functions. Furthermore, some new construction methods for (n , m , t) resilient functions satisfying PC(l) of order k is also discussed. In addition, the authors also show that these functions have many other good cryptographic properties such as high nonlinearity, good algebraic degree and so on .
韦永壮; 高军涛; 胡子濮. 满足k阶PC(l)的密码函数的新构造[J]. 电子与信息学报, 2005, 27(5): 699-702 .
Wei Yong-zhuang①②; Gao Jun-tao①; Hu Yu-pu①. New Construction of Cryptographic Functions Satisfying PC(l) of Order k. , 2005, 27(5): 699-702 .