当前位置: X-MOL 学术Finite Fields Their Appl. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Construction of long MDS self-dual codes from short codes
Finite Fields and Their Applications ( IF 1.2 ) Pub Date : 2021-02-19 , DOI: 10.1016/j.ffa.2021.101813
Derong Xie , Xiaolei Fang , Jinquan Luo

In this paper, we propose a mechanism on how to construct long MDS self-dual codes from short ones. These codes are special types of generalized Reed-Solomon (GRS) codes or extended generalized Reed-Solomon codes. The main tool is utilizing additive structure or multiplicative structure on finite fields. By applying this method, more MDS self-dual codes can be constructed.



中文翻译:

从短代码构造长MDS自对码

在本文中,我们提出了一种从短码构造长MDS自对码的机制。这些代码是特殊类型的广义Reed-Solomon(GRS)码或扩展的广义Reed-Solomon码。主要工具是在有限域上利用加法结构或乘法结构。通过应用此方法,可以构造更多的MDS自对偶代码。

更新日期:2021-02-19
down
wechat
bug