Skip to main content
SpringerLink
Log in

Orthogonal Designs

Hadamard Matrices, Quadratic Forms and Algebras

  • Book
  • © 2017

Overview

Authors:
  1. Jennifer Seberry

    1. School of Computing and Information Technology, University of Wollongong, Wollongong, Australia

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Provides a unique overview of the subject

  • Provides insights into some of the current communications coding theories

  • Can be considered as the foundation of a completely new area of discrete mathematics

  • Includes supplementary material: sn.pub/extras

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xxiii
    Download chapter PDF

  2. Orthogonal Designs

    • Jennifer Seberry
    Pages 1-5

  3. Some Algebraic and Combinatorial Non-existence Results

    • Jennifer Seberry
    Pages 7-17

  4. Algebraic Theory of Orthogonal Designs

    • Jennifer Seberry
    Pages 19-61

  5. Constructions for Orthogonal Designs via Plug in and Plug into Matrices

    • Jennifer Seberry
    Pages 63-154

  6. Amicable Orthogonal Designs

    • Jennifer Seberry
    Pages 155-211

  7. Gastineau-Hills Schemes: Product Designs and Repeat Designs

    • Jennifer Seberry
    Pages 213-266

  8. Techniques

    • Jennifer Seberry
    Pages 267-294

  9. Robinson’s Theorem

    • Jennifer Seberry
    Pages 295-303

  10. Existence of Hadamard Matrices and Asymptotic Existence Results for Orthogonal Designs

    • Jennifer Seberry
    Pages 305-333

  11. Complex, Quaternion and Non Square Orthogonal Designs

    • Jennifer Seberry
    Pages 335-356

  12. Back Matter

    Pages 345-430
    Download chapter PDF
Back to top

Keywords

About this book

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.

Authors and Affiliations

  • School of Computing and Information Technology, University of Wollongong, Wollongong, Australia

    Jennifer Seberry

About the author

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.

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation