The a-invariant of some Reed-Muller Codes

  • C. Rentería
  • H. Tapia-Recillas


The a-invariant, the defining ideal and the dimension of Reed-Muller codes arising from some subsets of the projective n-space over a finite field are determined. In some cases the minimal distance of the code is given.

Key words:a-invariant, Hilbert function, defining ideal, Reed-Muller code 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • C. Rentería
    • 1
  • H. Tapia-Recillas
    • 2
  1. 1.Escuela Superior de Fí sica y Matemáticas, Instituto Politécnico Nacional, 07300 México, D.F., Mexico (e-mail:
  2. 2.Departamento de Matemáticas, Universidad Autónoma Metropolitana–I, 09340 México, D.F. Mexico (e-mail:

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