Paper 2010/185 Original: eprint.iacr.org/2010/185 ↗
New Methods to Construct Golay Complementary Sequences Over the $QAM$ Constellation
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
- Preprint.
- History
- 2010-04-09: last updated
- 2010-04-09: published
- Short URL
- https://ia.cr/2010/185
- License
- https://creativecommons.org/licenses/by/4.0/
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}
}