Homogeneous polynomials on a finite field vanishing on the all space
Mercier, Dany-Jack ; Rolland, R.
HAL, hal-00771897 / Harvested from HAL
Text on HAL
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.
Publié le : 1996-07-05
Classification:  [MATH.MATH-IT]Mathematics [math]/Information Theory [math.IT],  [INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT] 
@article{hal-00771897,
     author = {Mercier, Dany-Jack and Rolland, R.},
     title = {Homogeneous polynomials on a finite field vanishing on the all space},
     journal = {HAL},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00771897}
}

Mercier, Dany-Jack; Rolland, R. Homogeneous polynomials on a finite field vanishing on the all space. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-00771897/