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

Wenping Ma; Chen Yang; Shaohui Sun

Paper 2010/185

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

Wenping Ma, Chen Yang, and Shaohui Sun

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.

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: 2010-04-09: received
Short URL: https://ia.cr/2010/185
License: CC BY

BibTeX

@misc{cryptoeprint:2010/185,
      author = {Wenping Ma and Chen Yang and Shaohui Sun},
      title = {New Methods to Construct Golay Complementary Sequences Over the ${QAM}$ Constellation},
      howpublished = {Cryptology {ePrint} Archive, Paper 2010/185},
      year = {2010},
      url = {https://eprint.iacr.org/2010/185}
}