Title	Hadamard Matrices with Few Distinct Types
Creator	Tayfeh-Rezaie, Behruz
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-07-09T10:01
Description	The notion of type of quadruples of rows is proven to be useful in the classification of Hadamard matrices. We investigate Hadamard matrices with few distinct types. Apparently, Hadamard matrices with few distinct types are very rare and have nice combinatorial properties. We show that there exists no Hadamard matrix of order larger than $12$ whose quadruples of rows are all of the same type. We then focus on Hadamard metrics with two distinct types. Among other results, the Sylvester Hadamard matrices are shown to be characterized by their spectrum of types. This is a joint work with A. Mohammadian.
Extent	29 minutes
Subject	Mathematics; Linear and multilinear algebra; matrix theory; Combinatorics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Institute for Research in Fundamental Sciences (IPM)
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-01-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0362886
URI	http://hdl.handle.net/2429/64300
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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