Title
More Golay sequences
Abstract
Davis and Jedwab's construction of Golay sequences as Reed Muller codewords was believed to generate possibly all Golay sequences over Z2h of length 2m. From exhaustive search, 1024 quaternary (h=2) Golay sequences of length 16 (m=4) are found which are not within Davis and Jedwab's construction. A table of 16 characteristic sequences is presented from which all 1024 Golay sequences can be reconstructed. The pairing information and the PAPR's of associated OFDM signals are given.
Year
DOI
Venue
2005
10.1109/TIT.2004.842775
IEEE Transactions on Information Theory
Keywords
Field
DocType
exhaustive search,reed muller codewords,golay sequence,pairing information,ofdm signal,characteristic sequence,frequency,orthogonal frequency division multiplexing,autocorrelation,ofdm modulation,arithmetic,bluetooth,ofdm,reed muller codes
Discrete mathematics,Combinatorics,Complementary sequences,Reed–Muller code,Binary Golay code,Mathematics
Journal
Volume
Issue
ISSN
51
3
0018-9448
Citations 
PageRank 
References 
23
1.71
3
Authors
2
Name
Order
Citations
PageRank
Y. Li1332.70
W. B. Chu2231.71