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On the linear span of the p-ary cascaded GMW sequences

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Abstract

In this paper, a recursion is derived to compute the linear span of the p-ary cascaded GMW sequences. It is the first time to determine the linear span of the p-ary cascaded GMW sequence without any restriction on the parameters completely. Whereas, the known result on the p-ary cascaded GMW sequence with the specific parameters in the literature could be viewed as a special case of the new result.

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References

  1. Massey J L. Shift register synthesis and BCH decoding. IEEE Trans Inform Theory, 1969, 15: 122–127

    Article  MATH  Google Scholar 

  2. Scholtz R A, Welch L R. GMW sequences. IEEE Trans Inform Theory, 1984, 30: 548–553

    Article  MATH  Google Scholar 

  3. Antweiler M, Bömer L. Complex sequences over GF(p m) with a two-level autocorrelation function and a large linear span. IEEE Trans Inform Theory, 1992, 38: 120–130

    Article  MATH  Google Scholar 

  4. Klapper A, Chan A H, Goresky M. Gascaded GMW sequences. IEEE Trans Inform Theory, 1993, 39: 177–183

    Article  MATH  Google Scholar 

  5. No J S. Generalization of GMW sequences and No sequences. IEEE Trans Inform Theory, 1996, 42: 260–262

    Article  MATH  Google Scholar 

  6. Gong G. Q-ary cascaded GMW sequences. IEEE Trans Inform Theory, 1996, 42: 263–267

    Article  MATH  Google Scholar 

  7. Chung H, No J S. Linear span of extended sequences and cascaded GMW sequences. IEEE Trans Inform Theory, 1999, 45: 2060–2065

    Article  MATH  Google Scholar 

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Supported by the National Natural Science Foundation of China (Grant No. 60302015), the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No. 200341), and Sichuan Youth Science Foundation (Grant No. 04ZQ026-048)

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Tang, X. On the linear span of the p-ary cascaded GMW sequences. SCI CHINA SER F 50, 551–560 (2007). https://doi.org/10.1007/s11432-007-0002-0

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  • DOI: https://doi.org/10.1007/s11432-007-0002-0

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