The second generalized Hamming weight for two-point codes on a Hermitian curve

The second generalized Hamming weight for two-point codes on a Hermitian curve
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DOI:
10.1007/s10623-008-9210-x
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发表时间:
2009
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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本文的目的是确定度eq + 1的埃尔米特曲线上任何两点码的第二广义海明重量。该测定涉及Coppens在平面曲线上的无基点铅笔的结果。为了避免不必要的麻烦,我们假定q> 4.
The aim of this article is the determination of the second generalized Hamming weight of any two-point code on a Hermitian curve of degreeq+ 1. The determination involves results of Coppens on base-point-free pencils on a plane curve. To avoid non- essential trouble, we assume thatq> 4.