Trinomial curves with many rational points

P.H.T. Beelen; G.R. Pellikaan

doi:10.1109/ITW.1998.706401

Trinomial curves with many rational points

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

Samenvatting

The authors discuss a method to get plane curves with many rational points and a construction to get asymptotically good codes and curves, that is closely related to finding bivariate polynomials representing designs. The number of rational points and the genus is computed for plane curves that have a defining equation with three monomials.

Originele taal-2	Engels
Titel	Proceedings Information Theory Workshop (IWT 1998, Killarney, Ireland, June 22-26, 1998)
Uitgeverij	Institute of Electrical and Electronics Engineers
Pagina's	38-39
Aantal pagina's	2
ISBN van geprinte versie	0-7803-4408-1
DOI's	https://doi.org/10.1109/ITW.1998.706401
Status	Gepubliceerd - 1998

Toegang tot document

10.1109/ITW.1998.706401

Citeer dit

@inproceedings{2fc51e3d584449739758ceb1c4fa334e,

title = "Trinomial curves with many rational points",

abstract = "The authors discuss a method to get plane curves with many rational points and a construction to get asymptotically good codes and curves, that is closely related to finding bivariate polynomials representing designs. The number of rational points and the genus is computed for plane curves that have a defining equation with three monomials.",

author = "P.H.T. Beelen and G.R. Pellikaan",

year = "1998",

doi = "10.1109/ITW.1998.706401",

language = "English",

isbn = "0-7803-4408-1",

pages = "38--39",

booktitle = "Proceedings Information Theory Workshop (IWT 1998, Killarney, Ireland, June 22-26, 1998)",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

}

TY - GEN

T1 - Trinomial curves with many rational points

AU - Beelen, P.H.T.

AU - Pellikaan, G.R.

PY - 1998

Y1 - 1998

N2 - The authors discuss a method to get plane curves with many rational points and a construction to get asymptotically good codes and curves, that is closely related to finding bivariate polynomials representing designs. The number of rational points and the genus is computed for plane curves that have a defining equation with three monomials.

AB - The authors discuss a method to get plane curves with many rational points and a construction to get asymptotically good codes and curves, that is closely related to finding bivariate polynomials representing designs. The number of rational points and the genus is computed for plane curves that have a defining equation with three monomials.

U2 - 10.1109/ITW.1998.706401

DO - 10.1109/ITW.1998.706401

M3 - Conference contribution

SN - 0-7803-4408-1

SP - 38

EP - 39

BT - Proceedings Information Theory Workshop (IWT 1998, Killarney, Ireland, June 22-26, 1998)

PB - Institute of Electrical and Electronics Engineers

ER -

Trinomial curves with many rational points

Samenvatting

Toegang tot document

Vingerafdruk

Citeer dit