On three-element codes

  • Juhani Karhumäki
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 172)


We show that three-element codes have some special properties which do not hold even for four-element codes. Firstly, for each three-element code A, if u and v are words in pref(xAθ) π pref(yAθ), with x, y ∈ A, x ≠ y, then one of them is a prefix of the other, i.e., among the words which can be covered in two different ways from left to right there exists a unique maximal (possibly infinite) element. Secondly, each three-element code has a bounded delay in at least one direction.


Binary Code Primitive Root Free Monoid Bounded Delay Common Prefix 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Juhani Karhumäki
    • 1
  1. 1.Department of MathematicsUniversity of TurkuTurkuFinland

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