New restrictions on possible orders of circulant Hadamard matrices

DOI10.1007/s10623-011-9493-1zbMath1242.15027OpenAlexW2040687693MaRDI QIDQ420617

Ka Hin Leung, Bernhard Schmidt

Publication date: 22 May 2012

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

Full work available at URL: https://doi.org/10.1007/s10623-011-9493-1

zbMATH Keywords

Hadamard difference setscirculant Hadamard matricesBarker sequencesfield descent

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Primes (11A41) Boolean and Hadamard matrices (15B34)

Related Items (14)

Eigenvalues of Circulant Matrices and a Conjecture of Ryser ⋮ New duality operator for complex circulant matrices and a conjecture of Ryser ⋮ A Walsh–Fourier Approach to the Circulant Hadamard Conjecture ⋮ DOUGLAS–RACHFORD FEASIBILITY METHODS FOR MATRIX COMPLETION PROBLEMS ⋮ A Real eigenvector of Circulant matrices and a conjecture of Ryser ⋮ Analytic aspects of the circulant Hadamard conjecture ⋮ The anti-field-descent method ⋮ Sequences with small correlation ⋮ Unnamed Item ⋮ Hadamard Matrices Modulo 5 ⋮ Wieferich pairs and Barker sequences, II ⋮ The peak sidelobe level of random binary sequences ⋮ Three‐Phase Barker Arrays ⋮ Unnamed Item

Cites Work

• Unnamed Item
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• Sub-difference sets of Hadamard difference sets
• A new restriction on the lengths of Golay complementary sequences
• Wieferich pairs and Barker sequences
• Necessary conditions for Menon difference sets
• Characters and cyclotomic fields in finite geometry
• The field descent method
• Character sums and difference sets
• Cyclotomic integers and finite geometry
• On Binary Sequences

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