8 papers
Binary duadic codes and their related codes with a square-root-like lower bound
Tingting Wu, Lanqiang Li, Xiuyu Zhang +1
Binary cyclic codes have been a hot topic for many years, and significant progress has been made in the study of this types of codes. As is well known, it is hard to construct infi…
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…
On -MDS codes and a conjecture on infinite families of -MDS codes
Yang Li, Shixin Zhu, Edgar Martínez-Moro
The class of -maximum distance separable (-MDS) codes {is a} generalization of maximum distance separable (MDS) codes {that} has attracted a lot of attention due to its…
Symplectic self-orthogonal and LCD codes from the Plotkin sum construction
Shixin Zhu, Yang Li, Shitao Li
In this work, we propose two criteria for linear codes obtained from the Plotkin sum construction being symplectic self-orthogonal (SO) and linear complementary dual (LCD). As spec…
New entanglement-assisted quantum codes from negacyclic codes
Xiaojing Chen, Xingbo Lu, Shixin Zhu +2
The theory of entanglement-assisted quantum error-correcting codes (EAQECCs) is a generalization of the standard stabilizer quantum error-correcting codes, which can be possibly co…
New quantum codes from dual-containing cyclic codes over finite rings
Yongsheng Tang, Shixin Zhu, Xiaoshan Kai +1
Let , where is a finite field with elements, is a positive integer, i…