The Two-Point Codes with the Designed Distance on a Hermitian Curve in Even Characteristic

The Two-Point Codes with the Designed Distance on a Hermitian Curve in Even Characteristic
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DOI:
10.1007/s10623-005-5471-9
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发表时间:
2006-06
期刊:
Designs, Codes and Cryptography
影响因子:
--
通讯作者:
M. Homma;S. Kim
M. Homma;S. Kim
中科院分区:
其他
文献类型:
--
作者:
M. Homma;S. Kim

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在Homma M和Kim SJ[2]中,作者考虑了在奇特征域上定义的厄米曲线上的两点码。本文研究了偶特征域上的厄米曲线的几何性质,并对最小距离与设计最小距离一致的两点码进行了分类。
In Homma M and Kim SJ [2], the authors considered two-point codes on a Hermitian curve defined over fields of odd characteristic. In this paper, we study the geometry of a Hermitian curve over fields of even characteristic and classify the two-point codes whose minimum distances agree with the designed ones.