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 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 for integer n, over the - constellation and -- constellations, where for integer . A method to judge whether a sequence constructed using the new general offset pairs over the 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 - constellation and - 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}
}