Perfect sequences over the quaternions and \((4n, 2, 4n, 2n)\)-relative difference sets in \(C_n \times Q_8\)

DOI10.1007/s12095-017-0224-yzbMath1379.05019OpenAlexW2605633475MaRDI QIDQ1696141

Heiko Dietrich, Santiago Barrera Acevedo

Publication date: 14 February 2018

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-017-0224-y

zbMATH Keywords

perfect sequencesHadamard matricesrelative difference setsquaternions

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Other designs, configurations (05B30) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Applications of design theory to circuits and networks (94C30)

Related Items (5)

Relative difference sets and Hadamard matrices from perfect quaternionic arrays ⋮ Aperiodic/periodic complementary sequence pairs over quaternions ⋮ On Hadamard full propelinear codes with associated group \(C_{2t}\times C_2\) ⋮ Unnamed Item ⋮ Generalizing pairs of complementary sequences and a construction of combinatorial structures

Cites Work

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• On non-existence of perfect and nearly perfect sequences
• A unifying construction for difference sets
• New families of semi-regular relative difference sets
• On circulant complex Hadamard matrices
• Finite geometry and character theory
• Williamson matrices and a conjecture of Ito's
• Hadamard matrices of generalized quaternion type
• Perfect Sequences of Unbounded Lengths over the Basic Quaternions
• On Automorphism Groups of Divisible Designs
• ON HADAMARD GROUPS III
• Two-dimensional perfect quaternary arrays
• Quaternions and Hadamard Matrices

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