On equivalence of negaperiodic Golay pairs

DOI10.1007/s10623-016-0320-6zbMath1372.05025OpenAlexW2564799651MaRDI QIDQ1675287

Ronan Egan

Publication date: 27 October 2017

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-016-0320-6

zbMATH Keywords

binary sequencesHadamard matrixrelative difference setnegaperiodic Golay pair

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Sequences and sets (11B99)

Related Items (4)

Phased unitary Golay pairs, Butson Hadamard matrices and a conjecture of Ito's ⋮ Generalizing pairs of complementary sequences and a construction of combinatorial structures ⋮ Generalized binary arrays from quasi-orthogonal cocycles ⋮ Periodic Golay pairs and pairwise balanced designs

Uses Software

• Magma

Cites Work

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• The cocyclic Hadamard matrices of order less than 40
• Hadamard matrices, Baumert-Hall units, four-symbol sequences, pulse compression, and surface wave encodings
• Cocyclic Hadamard matrices and Hadamard groups are equivalent
• The Magma algebra system. I: The user language
• Complex Golay sequences: Structure and applications
• On Hadamard groups. IV
• Signed groups, sequences, and the asymptotic existence of Hadamard matrices
• Williamson matrices and a conjecture of Ito's
• Cocyclic Hadamard matrices and difference sets
• Periodic Golay Pairs of Length 72
• Classifying Cocyclic Butson Hadamard Matrices

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