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

Jingwei Zhang, Shuhong Gao, and 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.

Available format(s)
Category
Secret-key cryptography
Publication info
Preprint. Minor revision.
Keywords
Cryptographylinear complexitybinary sequencesEuler quotients.
Contact author(s)
zhaochan3 @ mail sysu edu cn
History
Short URL
https://ia.cr/2019/729

CC BY

BibTeX

@misc{cryptoeprint:2019/729,
author = {Jingwei Zhang and Shuhong Gao and Chang-An Zhao},
title = {Linear Complexity of A Family of Binary pq2 -periodic Sequences From Euler Quotients},
howpublished = {Cryptology ePrint Archive, Paper 2019/729},
year = {2019},
note = {\url{https://eprint.iacr.org/2019/729}},
url = {https://eprint.iacr.org/2019/729}
}

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