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cs.IT2023
A new class of self-orthogonal linear codes and their applications
Yaozong Zhang, Dabin Zheng, Xiaoqiang Wang
Self-orthogonal codes are a subclass of linear codes that are contained within their dual codes. Since self-orthogonal codes are widely used in quantum codes, lattice theory and li…
cs.IT2023
The Weight Hierarchies of Linear Codes from Simplicial Complexes
Chao Liu, Dabin Zheng, Wei Lu +1
The study of the generalized Hamming weight of linear codes is a significant research topic in coding theory as it conveys the structural information of the codes and determines th…
cs.IT2023
Two classes of reducible cyclic codes with large minimum symbol-pair distances
Xiaoqiang Wang, Yue Su, Dabin Zheng +1
The high-density data storage technology aims to design high-capacity storage at a relatively low cost. In order to achieve this goal, symbol-pair codes were proposed by Cassuto an…