A survey on modular Hadamard matrices

We provide constructions of 32-modular Hadamard matrices for every size n divisible by 4. They are based on the description of several families of modular Golay pairs and quadruples. Higher moduli are also considered, such as 48 , 64 , 128 and 192. Finally, we exhibit infinite families of circulant...

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Bibliographic Details
Published in:Discrete mathematics 2005-10, Vol.302 (1), p.85-106
Main Authors: Eliahou, Shalom, Kervaire, Michel
Format: Article
Language:English
Subjects:
Circulant matrices
Golay complementary sequences
Modular Hadamard matrices
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Summary:We provide constructions of 32-modular Hadamard matrices for every size n divisible by 4. They are based on the description of several families of modular Golay pairs and quadruples. Higher moduli are also considered, such as 48 , 64 , 128 and 192. Finally, we exhibit infinite families of circulant modular Hadamard matrices of various types for suitable moduli and sizes.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2005.02.021