227 citations · 309 across the 15 of their papers we have counts for
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Constructions of MDS Self-dual Codes from Short length
Derong Xie, Xiaolei Fang, Jinquan Luo
Systematic constructions of MDS self-dual codes is widely concerned. In this paper, we consider the constructions of MDS Euclidean self-dual codes from short length. Indeed, the ex…
On Euclidean Hulls of MDS Codes
Xiaolei Fang, Meiqing Liu, Jinquan Luo
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(GR…
New MDS Euclidean Self-orthogonal Codes
Xiaolei Fang, Meiqing Liu, Jinquan Luo
In this paper, a criterion of MDS Euclidean self-orthogonal codes is presented. New MDS Euclidean self-dual codes and self-orthogonal codes are constructed via this criterion. In p…
New Quantum MDS Codes over Finite Fields
Xiaolei Fang, Jinquan Luo
In this paper, we present three new classes of -ary quantum MDS codes utilizing generalized Reed-Solomon codes satisfying Hermitian self-orthogonal property. Among our construct…