On the Quasi-cyclicity of the Gray Map Image of a Class of Codes over Galois Rings

  • Carlos Alberto López-Andrade
  • Horacio Tapia-Recillas
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5228)

Abstract

Results on the quasi-cyclicity of the Gray map image of a class of codes defined over the Galois ring GR(p 2,m) are given. These results generalize some appearing in [8] for codes over the ring Open image in new window of integers modulo p 2 (p a prime). The ring of (truncated) Witt vectors is a useful tool in proving the main results.

Keywords

Quasi-cyclicity Galois rings Gray map Witt ring 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Carlos Alberto López-Andrade
    • 1
    • 2
  • Horacio Tapia-Recillas
    • 2
  1. 1.Facultad de Ciencias de la ComputaciónBUAPPueblaMéxico
  2. 2.Dpto. MatemáticasUAM-ID.F.México

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