On the Distribution of p-Error Linear Complexity of p-Ary Sequences with Period pn
Miao Tang, Juxiang Wang, Minjia Shi, Jing Liang · IEICE Transactions on Information and Systems · 2019
Linear complexity and the k-error linear complexity of periodic sequences are the important security indices of stream cipher systems. This paper focuses on the distribution of p-error linear complexity of p-ary sequences with period pn. For p-ary sequences of period pn with linear complexity pn-p+1, n≥1, we present all possible values of the p-error linear complexity, and derive the exact formulas to count the number of the sequences with any given p-error linear complexity.