New generalized cyclotomic binary sequences of period p2 are proposed in this paper, where p is an odd prime. The sequences are almost balanced and their linear complexity is determined. The result shows that the proposed sequences have very large linear complexity if p is a non-Wieferich prime.
@article{arxiv.1807.03088,
title = {Corrigendum to New Generalized Cyclotomic Binary Sequences of Period $p^2$},
author = {Zibi Xiao and Xiangyong Zeng and Chunlei Li and Tor Helleseth},
journal= {arXiv preprint arXiv:1807.03088},
year = {2018}
}
Comments
In the appended corrigendum, we pointed out that the proof of Lemma 6 in the paper only holds for $f=2$ and gave a proof for any $f=2^r$ when $p$ is a non-Wieferich prime