International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Shaohui Sun

Publications

Year
Venue
Title
2010
EPRINT
Golay Complementary Sequences Over the QAM Constellation
Wenping Ma Chen Yang Shaohui Sun
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.
2010
EPRINT
New Methods to Construct Golay Complementary Sequences Over the $QAM$ Constellation
Wenping Ma Chen Yang Shaohui Sun
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.

Coauthors

Wenping Ma (2)
Chen Yang (2)