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Conference Papers Year : 1996

Homogeneous polynomials on a finite field vanishing on the all space

Abstract

Here is a description of an ideal that plays an important part in the construction of projective Reed-Muller codes. The use of Eagon-Northcott complex which is a generalisation of the Koszul complex gives us a method to compute dimensions of projective Reed-Muller codes. Moreover a calculus of dimensions gives us a combinatoric identity. This communication is issued from a paper admitted in the Journal of Pure and Applied Algebra and we have adjoined a straightforward and subtle proof of the combinatoric identity given by Michel Quercia.
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Dates and versions

hal-00771897 , version 1 (09-01-2013)

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  • HAL Id : hal-00771897 , version 1

Cite

Dany-Jack Mercier, R. Rolland. Homogeneous polynomials on a finite field vanishing on the all space. Caribbean Mathematical Colloquium, 1996, Pointe-à-Pitre, Guadeloupe. ⟨hal-00771897⟩

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