Algebraic Design Theory and Hadamard Matrices

Algebraic Design Theory and Hadamard Matrices

ADTHM, Lethbridge, Alberta, Canada, July 2014

Colbourn, Charles J.

Springer International Publishing AG

10/2016

259

Mole

Inglês

9783319372181

15 a 20 dias

4161

Descrição não disponível.
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.
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Hadamard matrices;algebraic design theory;coding theory;combinatorics;computer security;quantum information theory;matrix theory;information and communication, circuits