[Resource Topic] 2019/729: Linear Complexity of A Family of Binary pq2 -periodic Sequences From Euler Quotients

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Title:
Linear Complexity of A Family of Binary pq2 -periodic Sequences From Euler Quotients

Authors: Jingwei Zhang, Shuhong Gao, Chang-An Zhao

Abstract:

We first introduce a family of binary pq^2 -periodic sequences based on the Euler quotients modulo pq, where p and q are two distinct odd primes and p divides q - 1. The minimal polynomials and linear complexities are determined for the proposed sequences provided that 2^{q-1} \not \equiv 1 \pmod q^2 . The results show that the proposed sequences have high linear complexities.

ePrint: https://eprint.iacr.org/2019/729

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