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Title:
Golay Complementary Sequences Over the QAM Constellation
Authors: Wenping Ma, Chen Yang, 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.
ePrint: https://eprint.iacr.org/2010/163
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