6 papers
A Generalization of the Tang-Ding Binary Cyclic Codes
Zhonghua Sun, Ling Li, Shixin Zhu
Cyclic codes are an interesting family of linear codes since they have efficient decoding algorithms and contain optimal codes as subfamilies. Constructing infinite families of cyc…
Four infinite families of ternary cyclic codes with a square-root-like lower bound
Tingfang Chen, Cunsheng Ding, Chengju Li +1
Cyclic codes are an interesting type of linear codes and have wide applications in communication and storage systems due to their efficient encoding and decoding algorithms. Inspir…
Several families of ternary negacyclic codes and their duals
Zhonghua Sun, Cunsheng Ding
Constacyclic codes contain cyclic codes as a subclass and have nice algebraic structures. Constacyclic codes have theoretical importance, as they are connected to a number of areas…
Two Classes of Constacyclic Codes with Variable Parameters
Zhonghua Sun, Cunsheng Ding, Xiaoqiang Wang
Constacyclic codes over finite fields are a family of linear codes and contain cyclic codes as a subclass. Constacyclic codes are related to many areas of mathematics and outperfor…
Two families of negacyclic BCH codes
Xiaoqiang Wang, Zhonghua Sun, Cunsheng Ding
Negacyclic BCH codes are a subclass of neagcyclic codes and are the best linear codes in many cases. However, there have been very few results on negacyclic BCH codes. Let be a…
Several Families of Irreducible Constacyclic and Cyclic Codes
Zhonghua Sun, Xiaoqiang Wang, Cunsheng Ding
In this paper, several families of irreducible constacyclic codes over finite fields and their duals are studied. The weight distributions of these irreducible constacyclic codes a…