The a-invariant of some Reed-Muller Codes |
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| Authors: | C. Rentería H. Tapia-Recillas |
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| Affiliation: | (1) Escuela Superior de Fí sica y Matemáticas, Instituto Politécnico Nacional, 07300 México, D.F., Mexico (e-mail: renteri@esfm.ipn.mx), MX;(2) Departamento de Matemáticas, Universidad Autónoma Metropolitana–I, 09340 México, D.F. Mexico (e-mail: htr@xanum.uam.mx), MX |
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| Abstract: | 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. Received: May 20, 1998; revised version: April 27, 1999 |
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| Keywords: | :a-invariant Hilbert function defining ideal Reed-Muller code |
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