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Families of p-ary sequences with low correlation and large linear complexity

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Abstract

This paper generalizes a method of generating shift sequences in the interleaved construction proposed by Gong. With the new shift sequences, some new families of p-ary sequences with desired properties can be obtained. A lower bound on the number of new families of binary sequences is also established.

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Authors and Affiliations

  1. Faculty of Mathematics and Statistics, Hubei University, Wuhan, 430062, China

    Han Cai & Xiangyong Zeng

  2. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China

    Lei Hu

Authors
  1. Han Cai
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  2. Xiangyong Zeng
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  3. Lei Hu
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Corresponding author

Correspondence to Xiangyong Zeng.

Additional information

The work of Zeng was supported by the National Natural Science Foundation of China under Grant No. 61170257; The work of Hu was supported by the National Key Basic Research Program of China under Grant No. 2013CB834203, the National Science Foundation of China under Grant Nos. 10990011 and 61070172, and the Strategic Priority Research Program of Chinese Academy of Sciences under Grant No. XDA06010702.

This paper was recommended for publication by Editor LI Ziming.

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Cai, H., Zeng, X. & Hu, L. Families of p-ary sequences with low correlation and large linear complexity. J Syst Sci Complex 27, 1305–1319 (2014). https://doi.org/10.1007/s11424-014-1243-9

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  • DOI: https://doi.org/10.1007/s11424-014-1243-9

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