A complete description of Golay pairs for lengths up to 100
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Publication:4452174
DOI10.1090/S0025-5718-03-01576-XzbMath1052.11019MaRDI QIDQ4452174
R. A. Ferguson, Peter B. Borwein
Publication date: 12 February 2004
Published in: Mathematics of Computation (Search for Journal in Brave)
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorics in computer science (68R05) Special sequences and polynomials (11B83) Application of orthogonal and other special functions (94A11)
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Constructions of two-dimensional Z-complementary array pairs with large ZCZ ratio ⋮ Golay complementary array pairs ⋮ New Z-complementary/complementary sequence sets with non-power-of-two length and low PAPR ⋮ Periodic Golay Pairs of Length 72 ⋮ Constructions of Z-optimal type-II quadriphase Z-complementary pairs ⋮ Aperiodic/periodic complementary sequence pairs over quaternions ⋮ Orthogonal designs for computer experiments ⋮ The \(q\)-ary Golay arrays of size \(2 \times 2 \times \cdots \times 2\) are standard ⋮ Quaternary Golay sequence pairs. I: Even length ⋮ Sequences with small correlation ⋮ Paraunitary generation/correlation of QAM complementary sequence pairs ⋮ Close Encounters with Boolean Functions of Three Different Kinds ⋮ Cyclic \((v;r,s;\lambda)\) difference families with two base blocks and \(v \leq 50\) ⋮ Walsh spectrum and nega spectrum of complementary arrays ⋮ Further explorations into ternary complementary pairs ⋮ Generalised Complementary Arrays ⋮ Structured Hadamard Conjecture ⋮ Charm bracelets and their application to the construction of periodic Golay pairs ⋮ Some new periodic Golay pairs
Cites Work
- A new restriction on the lengths of Golay complementary sequences
- On Golay polynomial pairs
- Hadamard matrices, Baumert-Hall units, four-symbol sequences, pulse compression, and surface wave encodings
- Equivalence classes and representatives of Golay sequences
- Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes
- Unnamed Item
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