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On the linear complexity and the autocorrelation of generalized cyclotomic binary sequences of length 2p m

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Abstract

In this article, new classes of generalized cyclotomic binary sequences with period 2p m are proposed. We determine the linear complexity and autocorrelation of these sequences. The results show that the proposed generalized cyclotomic binary sequences have high linear complexity, but do not have desirable autocorrelation properties.

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Authors and Affiliations

  1. Key Laboratory of Network Security and Cryptology, Fujian Normal University, Fuzhou, Fujian, 350007, People’s Republic of China

    Pinhui Ke & Shengyuan Zhang

  2. School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, People’s Republic of China

    Jie Zhang

Authors
  1. Pinhui Ke
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  2. Jie Zhang
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  3. Shengyuan Zhang
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Corresponding author

Correspondence to Pinhui Ke.

Additional information

Communicated by T. Helleseth.

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Ke, P., Zhang, J. & Zhang, S. On the linear complexity and the autocorrelation of generalized cyclotomic binary sequences of length 2p m . Des. Codes Cryptogr. 67, 325–339 (2013). https://doi.org/10.1007/s10623-012-9610-9

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  • DOI: https://doi.org/10.1007/s10623-012-9610-9

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