The Two-Point Codes on a Hermitian Curve with the Designed Minimum Distance

The Two-Point Codes on a Hermitian Curve with the Designed Minimum Distance
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DOI:
10.1007/s10623-004-5661-x
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发表时间:
2006
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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这是第二部分的一系列文件致力于确定的最小距离两点代码的厄米曲线。我们研究的情况下,最小的距离与设计的一个。为了构造一个函数,给出一个码字与设计的最小距离,我们使用的功能所产生的二次曲线在投影平面。
This is the second part of the series of papers devoted to the determination of the minimum distance of two-point codes on a Hermitian curve. We study the case where the minimum distance agrees with the designed one. In order to construct a function which gives a codeword with the designed minimum distance, we use functions arising from conics in the projective plane.