A multi-dimensional approach to the construction and enumeration of Golay complementary sequences

DOI10.1016/j.jcta.2007.10.001zbMath1154.05012OpenAlexW2012585113MaRDI QIDQ942167

Frank Fiedler, Jonathan Jedwab, Matthew G. Parker

Publication date: 4 September 2008

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2007.10.001

zbMATH Keywords

projectionenumerationconstructionGolay arrayGolay complementary sequence

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20)

Related Items (14)

Golay complementary array pairs ⋮ New complementary sets of length \(2^m\) and size 4 ⋮ Two-dimensional Golay complementary array pairs with flexible size and large zero correlation zone ⋮ The \(q\)-ary Golay arrays of size \(2 \times 2 \times \cdots \times 2\) are standard ⋮ Complex Golay pairs up to length 28: a search via computer algebra and programmatic SAT ⋮ Quaternary Golay sequence pairs. I: Even length ⋮ Sequences with small correlation ⋮ A complementary construction using mutually unbiased bases ⋮ Close Encounters with Boolean Functions of Three Different Kinds ⋮ Three-phase Golay sequence and array triads ⋮ Walsh spectrum and nega spectrum of complementary arrays ⋮ A construction of binary Golay sequence pairs from odd‐length Barker sequences ⋮ A new source of seed pairs for Golay sequences of length \(2^m\) ⋮ Generalised Complementary Arrays

Cites Work

• The finite Heisenberg-Weyl groups in radar and communications
• Hadamard matrices, Baumert-Hall units, four-symbol sequences, pulse compression, and surface wave encodings
• Complex Golay sequences: Structure and applications
• Golay complementary array pairs
• A new construction of 16-QAM golay complementary sequences
• More Golay Sequences
• On cosets of the generalized first-order reed-muller code with low PMEPR
• How Do More Golay Sequences Arise?
• A Framework for the Construction ofGolay Sequences
• Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes
• Generalized Reed-Muller codes and power control in OFDM modulation
• A theory of ternary complementary pairs

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