3 papers
cs.IT2026
Four constructions of self-dual binary cyclic codes with a lower bound on the minimum distances better than the square-root bound
Xiaoqiang Wang, Xun Song, Dabin Zheng +2
In spite of the intensive study of cyclic codes and the recent construction of an infinite family of self-dual binary cyclic codes whose minimum distances have the square-root boun…
cs.IT2024
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.IT2024
The weight hierarchies of three classes of linear codes
Wei Lu, Qingyao Wang, Xiaoqiang Wang +1
Studying the generalized Hamming weights of linear codes is a significant research area within coding theory, as it provides valuable structural information about the codes and pla…