Construction of long MDS self-dual codes from short codes

作者：Xie, Derong; Fang, Xiaolei; Luo, Jinquan^*

来源：Finite Fields and their Applications, 2021, 72: 101813.

DOI：10.1016/j.ffa.2021.101813

• MDS code
• Self-dual code
• Generalized Reed-Solomon code
• Extended generalized Reed-Solomon& nbsp
• code

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.