Paper 2010/163

Golay Complementary Sequences Over the QAM Constellation

Wenping Ma, Chen Yang, and Shaohui Sun

Abstract

In this paper, we present new constructions for $ M^{2}$ -QAM and $2M$ $Q$-$PAM$ Golay complementary sequences of length $2^n$ for integer $n$, where $M=2^{m}$ for integer $m$. New decision conditions are proposed to judge whether an offset pairs can be used to construct the Golay complementary sequences over constellation, and with the new decision conditions, we prove the conjecture 1 proposed by Ying Li~\cite{16}. We describe a new offset pairs and construct new $64$-$QAM$ Golay sequences based on this new offset pairs. We also study the $128$-$QAM$ Golay complementary sequences, and propose a new decision condition to judge whether the sequences are $128$-$QAM$ Golay complementary.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Published elsewhere. Unknown where it was published
Keywords
Sequences
Contact author(s)
wp_ma @ mail xidian edu cn
History
2010-03-28: received
Short URL
https://ia.cr/2010/163
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2010/163,
      author = {Wenping Ma and Chen Yang and Shaohui Sun},
      title = {Golay Complementary Sequences Over the QAM Constellation},
      howpublished = {Cryptology ePrint Archive, Paper 2010/163},
      year = {2010},
      note = {\url{https://eprint.iacr.org/2010/163}},
      url = {https://eprint.iacr.org/2010/163}
}
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