Legendre pairs of lengths \(\ell \equiv 0 \pmod 5\)

DOI10.1515/spma-2023-0105zbMath1530.05016arXiv2111.02105OpenAlexW4388579442MaRDI QIDQ6194287

Kenneth J. Ryan, Ilias S. Kotsireas, Jonathan S. Turner, David M. Arquette, Dursun A. Bulutoglu, Christoph Koutschan

Publication date: 14 February 2024

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.02105

zbMATH Keywords

discrete Fourier transformpower spectral densityHadamard matrixperiodic autocorrelation functionmultiplier groupcompressed vector

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Boolean and Hadamard matrices (15B34)

Cites Work

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• A Legendre pair of length 77 using complementary binary matrices with fixed marginals
• Counting the decimation classes of binary vectors with relatively prime length and density
• Compression of periodic complementary sequences and applications
• Computational methods for difference families in finite abelian groups

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