平面曲线上几何MDS码的主猜想

陈豪;许丽卿

数学学报 ›› 1999, Vol. 42 ›› Issue (3)

PDF(378 KB)
PDF(378 KB)
数学学报 ›› 1999, Vol. 42 ›› Issue (3) DOI: 10.12386/A1999sxxb0054
论文

平面曲线上几何MDS码的主猜想

    陈豪;许丽卿
作者信息 +

On the Main Conjecture of Geometric MDS Codes Arising from Plane Curves

    Hao CHEN,Li Qing XU
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摘要

本文用Lang-Weil的一个经典结果证明了在一定维数限制下充分大域上平面代数曲线上MDS码的主猜想成立。

Abstract

By the using of a classical theorem of Lang S. and Weil A., we prove thatfor the geometric MDS codes from plane curves, the main conjecture is true when thedimensions of codes are restricted in certain range and the ground field is sufficientlylarge.

关键词

MDS码 / 代数几何码

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陈豪;许丽卿. 平面曲线上几何MDS码的主猜想. 数学学报, 1999, 42(3) https://doi.org/10.12386/A1999sxxb0054
Hao CHEN,Li Qing XU. On the Main Conjecture of Geometric MDS Codes Arising from Plane Curves. Acta Mathematica Sinica, Chinese Series, 1999, 42(3) https://doi.org/10.12386/A1999sxxb0054
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