Algebraic Design Theory and Hadamard Matrices: ADTHM, Lethbridge, Alberta, Canada, July 2014

Research output: Book/ReportBook

1 Citation (Scopus)

Abstract

This volume develops the depth and breadth of the mathematics underlying the construction and analysis of Hadamard matrices, and their use in the construction of combinatorial designs. At the same time, it pursues current research in their numerous applications in security and cryptography, quantum information, and communications. Bridges among diverse mathematical threads and extensive applications make this an invaluable source for understanding both the current state of the art and future directions. The existence of Hadamard matrices remains one of the most challenging open questions in combinatorics. Substantial progress on their existence has resulted from advances in algebraic design theory using deep connections with linear algebra, abstract algebra, finite geometry, number theory, and combinatorics. Hadamard matrices arise in a very diverse set of applications. Starting with applications in experimental design theory and the theory of error-correcting codes, they have found unexpected and important applications in cryptography, quantum information theory, communications, and networking.

Original languageEnglish (US)
PublisherSpringer International Publishing
Number of pages259
ISBN (Print)9783319177298, 9783319177281
DOIs
StatePublished - Sep 3 2015

Fingerprint

Hadamard Matrix
Cryptography
Combinatorics
Abstract algebra
Quantum Information Theory
Combinatorial Design
Finite Geometry
Quantum Communication
Breadth
Quantum Information
Error-correcting Codes
Number theory
Experimental design
Linear algebra
Networking
Thread
Design

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Algebraic Design Theory and Hadamard Matrices : ADTHM, Lethbridge, Alberta, Canada, July 2014. / Colbourn, Charles.

Springer International Publishing, 2015. 259 p.

Research output: Book/ReportBook

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