Algebraic Coding 1993: Algebraic Coding pp 263-269 | Cite as

On Plotkin-Elias type bounds for binary arithmetic codes

  • Gregory Kabatianski
  • Antoine Lobstein
Bounds for Codes
Part of the Lecture Notes in Computer Science book series (LNCS, volume 781)


We establish a new upper bound for binary arithmetic codes, which is asymptotically better than previously known bounds. We also discuss possible “candidates” such as Plotkin and Elias bounds for arithmetic codes over an arbitrary alphabet.


Association Scheme Nonzero Coefficient Maximal Cardinality Arithmetic Code Arithmetic Weight 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Gregory Kabatianski
    • 1
  • Antoine Lobstein
    • 2
  1. 1.Institute for Problems of Information TransmissionMoscowRussia
  2. 2.Dpt INFCentre National de la Recherche Scientifique Télécom ParisParis Cedex 13France

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