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Hadamard Matrices, Self-Dual Codes Over the Integers Modulo 4 and their Gray Images

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Sequences and their Applications

Part of the book series: Discrete Mathematics and Theoretical Computer Science ((DISCMATH))

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Abstract

We describe a new construction of codes over Z 4 from the H-equivalence classes of Hadamard matrices. We obtain by this method self-orthogonal and self-dual quaternary and binary codes which are the images of the quaternary codes under the Gray map.

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Author information

Authors and Affiliations

  1. SITACS, University of Wollongong Northfields Ave., Wollongong, NSW 2522, Australia

    C. Charnes

Authors
  1. C. Charnes
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Editor information

Editors and Affiliations

  1. Department of Computer Science, School of Computing, National University of Singapore, Lower Kent Ridge Road, Singapore, 119260

    C. Ding

  2. Department of Informatics, University of Bergen, N-5020, Bergen, Norway

    T. Helleseth

  3. Institute of Information Processing, Austrian Academy of Sciences, Sonnenfelsgasse 19, A01010, Vienna, Austria

    H. Niederreiter

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© 1999 Springer-Verlag London

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Charnes, C. (1999). Hadamard Matrices, Self-Dual Codes Over the Integers Modulo 4 and their Gray Images. In: Ding, C., Helleseth, T., Niederreiter, H. (eds) Sequences and their Applications. Discrete Mathematics and Theoretical Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-0551-0_11

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  • DOI: https://doi.org/10.1007/978-1-4471-0551-0_11

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-196-2

  • Online ISBN: 978-1-4471-0551-0

  • eBook Packages: Springer Book Archive

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