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Paper: New Methods to Construct Golay Complementary Sequences Over the $QAM$ Constellation

Authors:
Wenping Ma
Chen Yang
Shaohui Sun
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URL: http://eprint.iacr.org/2010/185
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Abstract: In this paper, based on binary Golay complementary sequences, we propose some methods to construct Golay complementary sequences of length $2^n$ for integer n, over the $M^2$-$QAM$ constellation and $2M$-$Q$-$PAM$ constellations, where $M=2^m$ for integer $m$. A method to judge whether a sequence constructed using the new general offset pairs over the $QAM$ constellation is Golay complementary sequence is proposed. Base on this judging rule, we can construct many new Golay complementary sequences. In particular, we study Golay complementary sequences over $16$-$QAM$ constellation and $64$-$QAM$ constellation,many new Golay complementary sequences over these constellations have been found.
BibTeX
@misc{eprint-2010-23086,
  title={New Methods to Construct Golay Complementary Sequences Over the $QAM$ Constellation},
  booktitle={IACR Eprint archive},
  keywords={foundations / Sequences},
  url={http://eprint.iacr.org/2010/185},
  note={ wp_ma@mail.xidian.edu.cn 14705 received 6 Apr 2010},
  author={Wenping Ma and Chen Yang and Shaohui Sun},
  year=2010
}