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On Generalized Hamming Weights for Codes over Finite Chain Rings

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2227))

Abstract

In this paper, we introduce the generalized Hamming weights with respect to rank (GHWR), from a module theoretical point of view, for linear codes over finite chain rings. We consider some basic properties of GHWR.

Research Fellow of the Japan Society for the Promotion of Science.

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Author information

Authors and Affiliations

  1. Kumamoto National College of Technology, 2659-2, Suya, Nishigoshi, Kikuchi, 861-1102, Kumamoto, Japan

    Hiroshi Horimoto

  2. Department of Mathematics, Kumamoto University, 2-39-1, Kurokami, 860-8555, Kumamoto, Japan

    Keisuke Shiromoto

Authors
  1. Hiroshi Horimoto
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  2. Keisuke Shiromoto
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Editor information

Editors and Affiliations

  1. Department of Mathematics, RMIT University, GPO Box 2476V, 3001, Melbourne, Australia

    Serdar Boztaş

  2. Department of Computing, Macquarie University, 2109, NSW, Australia

    Igor E. Shparlinski

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© 2001 Springer-Verlag Berlin Heidelberg

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Horimoto, H., Shiromoto, K. (2001). On Generalized Hamming Weights for Codes over Finite Chain Rings. In: Boztaş, S., Shparlinski, I.E. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2001. Lecture Notes in Computer Science, vol 2227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45624-4_15

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  • DOI: https://doi.org/10.1007/3-540-45624-4_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42911-1

  • Online ISBN: 978-3-540-45624-7

  • eBook Packages: Springer Book Archive

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