Algebraic design theory and Hadamard matrices ADTHM, Lethbridge, Alberta, Canada, July 2014

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Körperschaft: Workshop on Algebraic Design Theory and Hadamard Matrices Lethbridge (VerfasserIn)
Weitere Verfasser: Colbourn, Charles J. 1953- (HerausgeberIn)
Format: Elektronisch Tagungsbericht E-Book
Sprache:English
Veröffentlicht: Cham Springer [2015]
Schriftenreihe:Springer Proceedings in Mathematics & Statistics 133
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Datensatz im Suchindex

DE-BY-TUM_katkey 2159814
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adam_text ALGEBRAIC DESIGN THEORY AND HADAMARD MATRICES / : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS ON (−1, 1)-MATRICES OF SKEW TYPE WITH THE MAXIMAL DETERMINANTS AND TOURNAMENTS ON GOOD MATRICES AND SKEW HADAMARD MATRICES SUITABLE PERMUTATIONS, BINARY COVERING ARRAYS, AND PALEY MATRICES DIVISIBLE DESIGN DIGRAPHS NEW SYMMETRIC (61,16,4) DESIGNS OBTAINED FROM CODES D-OPTIMAL MATRICES OF ORDERS 118, 138, 150, 154 AND 174 PERIODIC GOLAY PAIRS OF LENGTH 72 CLASSIFYING COCYCLIC BUTSON HADAMARD MATRICES SIGNED GROUP ORTHOGONAL DESIGNS AND THEIR APPLICATIONS ON SYMMETRIC DESIGNS AND BINARY 3-FRAMEPROOF CODES AN ALGORITHM FOR CONSTRUCTING HJELMSLEV PLANES MUTUALLY UNBIASED BIANGULAR VECTORS AND ASSOCIATION SCHEMES A SIMPLE CONSTRUCTION OF COMPLEX EQUIANGULAR LINES INNER PRODUCT VECTORS FOR SKEW-HADAMARD MATRICES TWIN BENT FUNCTIONS AND CLIFFORD ALGEBRAS A WALSH–FOURIER APPROACH TO THE CIRCULANT HADAMARD MATRICES A NOTE ON ORDER AND EIGENVALUE MULTIPLICITY OF STRONGLY REGULAR GRAPHS TRADES IN COMPLEX HADAMARD MATRICES THE HUNT FOR WEIGHTING MATRICES OF SMALL ORDERS MENON–HADAMARD DIFFERENCE SETS OBTAINED FROM A LOCAL FIELD BY NATURAL PROJECTIONS BIRS WORKSHOP 14W2199 JULY 11–13, 2014 PROBLEM SOLVING SESSION DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. ALGEBRAIC DESIGN THEORY AND HADAMARD MATRICES / : 2015 ABSTRACT / INHALTSTEXT 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 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spellingShingle Algebraic design theory and Hadamard matrices ADTHM, Lethbridge, Alberta, Canada, July 2014
Springer Proceedings in Mathematics & Statistics
Mathematics
Matrix theory
Algebra
Information theory
Number theory
Combinatorics
Linear and Multilinear Algebras, Matrix Theory
Number Theory
Information and Communication, Circuits
Mathematik
subject_GND (DE-588)1071861417
title Algebraic design theory and Hadamard matrices ADTHM, Lethbridge, Alberta, Canada, July 2014
title_auth Algebraic design theory and Hadamard matrices ADTHM, Lethbridge, Alberta, Canada, July 2014
title_exact_search Algebraic design theory and Hadamard matrices ADTHM, Lethbridge, Alberta, Canada, July 2014
title_full Algebraic design theory and Hadamard matrices ADTHM, Lethbridge, Alberta, Canada, July 2014 Charles J. Colbourn, editor
title_fullStr Algebraic design theory and Hadamard matrices ADTHM, Lethbridge, Alberta, Canada, July 2014 Charles J. Colbourn, editor
title_full_unstemmed Algebraic design theory and Hadamard matrices ADTHM, Lethbridge, Alberta, Canada, July 2014 Charles J. Colbourn, editor
title_short Algebraic design theory and Hadamard matrices
title_sort algebraic design theory and hadamard matrices adthm lethbridge alberta canada july 2014
title_sub ADTHM, Lethbridge, Alberta, Canada, July 2014
topic Mathematics
Matrix theory
Algebra
Information theory
Number theory
Combinatorics
Linear and Multilinear Algebras, Matrix Theory
Number Theory
Information and Communication, Circuits
Mathematik
topic_facet Mathematics
Matrix theory
Algebra
Information theory
Number theory
Combinatorics
Linear and Multilinear Algebras, Matrix Theory
Number Theory
Information and Communication, Circuits
Mathematik
Konferenzschrift 2014 Lethbridge
url https://doi.org/10.1007/978-3-319-17729-8
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