We present bounds on the number of points in algebraic curves and algebraic hypersurfaces in Pn(Fq) of small degree d, depending on the number of linear components contained in such curves and hypersurfaces. The obtained results have applications to the weight distribution of the projective Reed-Muller codes PRM(q; d; n) over the finite field Fq.
Bounds on the number of rational points of algebraic hypersurfaces over finite fields, with applications to projective Reed-Muller codes
BARTOLI, DANIELE;
2015
Abstract
We present bounds on the number of points in algebraic curves and algebraic hypersurfaces in Pn(Fq) of small degree d, depending on the number of linear components contained in such curves and hypersurfaces. The obtained results have applications to the weight distribution of the projective Reed-Muller codes PRM(q; d; n) over the finite field Fq.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
