Orthogonal Designs: Hadamard Matrices, Quadratic Forms and Algebras

ISBN-13: 9783319865355 / Angielski / Miękka / 2018 / 453 str.

Jennifer Seberry

Spis treści

1 Orthogonal Designs.- 2 Non-existence Results.- 3 Algebraic Theory of Orthogonal Designs.- 4 Orthogonal Designs Constructed via Plug-in Matrices.- 5 Amicable Orthogonal Designs.- 6 Product Designs and Repeat Designs (Gastineau-Hills).- 7 Techniques.- 8 Robinson’s Theorem.- 9 Hadamard Matrices and Asymptotic Orthogonal Designs.- 10 Complex, Quaternion and Non Square Orthogonal Designs.- Appendix: A Orthogonal Designs in Order 12,24,48 and 3.q.- B Orthogonal Designs in Order 20, 40 and 80.- C Orthogonal Designs in Order 28 and 56.- D Orthogonal Designs in Order 36, 72.- E Orthogonal Designs in order 44.- F Orthogonal Designs in Powers of 2.- G Some Complementary Sequences.- H Product Designs.- References.

O autorze

Emeritus Professor Jennifer Seberry is an Australian cryptographer, mathematician, and computer scientist, now at the University of Wollongong. A graduate of UNSW and LaTrobe, she has taught at the Universities of Newcastle, Sydney, UNSW (ADFA) and Wollongong. Her areas of research include discrete and combinatorial mathematics, Hadamard matrices and bent functions for cryptology, and orthogonal designs. She has published over 400 papers and 7 books. She was the first person in Australia to teach computer security to university students. She is highly respected and has been made a Fellow of the International Association for Cryptologic Research and a Chartered Mathematician by the Institute of Mathematics and its Applications.

Blurb

Orthogonal designs have proved fundamental to constructing code division multiple antenna systems for more efficient mobile communications. Starting with basic theory, this book develops the algebra and combinatorics to create new communications modes. Intended primarily for researchers, it is also useful for graduate students wanting to understand some of the current communications coding theories.