周期为 $p^2$ 的新广义分圆二元序列的勘误
离散数学
2018-07-10 v1
摘要
本文提出了周期为 的新广义分圆二元序列，其中 为奇素数。这些序列几乎是平衡的，并确定了其线性复杂度。结果表明，若 为非 Wieferich 素数，则所提序列具有非常大的线性复杂度。
引用
@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}
}
备注
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