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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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.

Original language	English
Title of host publication	Proceedings Information Theory Workshop (IWT 1998, Killarney, Ireland, June 22-26, 1998)
Publisher	Institute of Electrical and Electronics Engineers
Pages	38-39
Number of pages	2
ISBN (Print)	0-7803-4408-1
DOIs	https://doi.org/10.1109/ITW.1998.706401
Publication status	Published - 1998

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10.1109/ITW.1998.706401

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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",

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AU - Beelen, P.H.T.

AU - Pellikaan, G.R.

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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

Abstract

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