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.
Complete list of metadatas

https://hal.univ-antilles.fr/hal-00771897
Contributor : Pamphile Isch <>
Submitted on : Wednesday, January 9, 2013 - 3:31:59 PM
Last modification on : Wednesday, May 15, 2019 - 10:44:01 AM

Identifiers

  • HAL Id : hal-00771897, version 1

Collections

Citation

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⟩

Share

Metrics

Record views

90