On Euclidean Hulls of MDS Codes
Xiaolei Fang, Meiqing Liu, Jinquan Luo · arXiv (Cornell University) · 2019
In this paper, we propose a mechanism on the constructions of MDS codes with arbitrary dimensions of Euclidean hulls. Precisely, we construct (extended) generalized Reed-Solomon(GRS) codes with assigned dimensions of Euclidean hulls from self-orthogonal GRS codes. It turns out that our constructions are more general than previous works on Euclidean hulls of (extended) GRS codes.