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arXiv · 1711.06063

On error linear complexity of new generalized cyclotomic binary sequences of period $p^2$

Chenhuang Wu·Chunxiang Xu·Zhixiong Chen·Pinhui Ke
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Abstract

We consider the $k$-error linear complexity of a new binary sequence of period $p^2$, proposed in the recent paper "New generalized cyclotomic binary sequences of period $p^2$", by Z. Xiao et al., who calculated the linear complexity of the sequences (Designs, Codes and Cryptography, 2017, https://doi.org/10.1007/s10623-017-0408-7). More exactly, we determine the values of $k$-error linear complexity over $\mathbb{F}_2$ for almost $k>0$ in terms of the theory of Fermat quotients. Results indicate that such sequences have good stability.

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Chenhuang Wu, Chunxiang Xu, Zhixiong Chen, Pinhui Ke. 2017-11-16. On error linear complexity of new generalized cyclotomic binary sequences of period $p^2$. https://arxiv.org/abs/1711.06063

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