@article{Huang2024, 
author = {Jing Huang and Jingge Liu and Dong Yu},
title = {Dimensions of the hull of generalized Reed-Solomon codes},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {13553-13569},
keywords = {hull of a code, generalized Reed-Solomon code, algebraic geometry code},
url = {https://www.sciopen.com/article/10.3934/math.2024661},
doi = {10.3934/math.2024661},
abstract = {Let GRS           k    (  α  ,  υ  ) be a    k-dimensional generalized Reed-Solomon (GRS) code over              F        q   associated with    α  =  (      α    1    ,  …  ,      α    n    ) and    υ  =  (      υ    1    ,  …  ,      υ    n    ). In this paper, we determined the dimension of the Euclidean hull GRS           k    (  α  ,  υ  )    ∩ GRS           k    (  α  ,  υ      )    ⊥  , which addresses an open problem posed in [Chen et al., IEEE-TIT, 2023]. We also presentd a new approach to generating all self-dual RS codes.}
}