Algebraic Design Theory and Hadamard Matrices

ADTHM, Lethbridge, Alberta, Canada, July 2014

Häftad, Engelska, 2016

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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.

Produktinformation

Utgivningsdatum2016-10-22
Mått155 x 235 x 15 mm
Vikt417 g
FormatHäftad
SpråkEngelska
SerieSpringer Proceedings in Mathematics & Statistics
Antal sidor259
FörlagSpringer International Publishing AG
ISBN9783319372181

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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.