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On the $k$-error linear complexity of subsequences of $d$-ary Sidel'nikov sequences over prime field $\mathbb{F}_{d}$

Information Theory 2019-04-11 v1 math.IT

Abstract

We study the kk-error linear complexity of subsequences of the dd-ary Sidel'nikov sequences over the prime field Fd\mathbb{F}_{d}. A general lower bound for the kk-error linear complexity is given. For several special periods, we show that these sequences have large kk-error linear complexity.

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Cite

@article{arxiv.1904.05083,
  title  = {On the $k$-error linear complexity of subsequences of $d$-ary Sidel'nikov sequences over prime field $\mathbb{F}_{d}$},
  author = {Minghui Yang and Jiejing Wen},
  journal= {arXiv preprint arXiv:1904.05083},
  year   = {2019}
}

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