2 citations · 5 across the 6 of their papers we have counts for
9 papers
Cyclic codes and some new entanglement-assisted quantum MDS codes
Wan Jiang, Shixin Zhu, Xiaojing Chen
Entanglement-assisted quantum error correcting codes (EAQECCs) play a significant role in protecting quantum information from decoherence and quantum noise. Recently, constructing…
On the constructions of -cycle permutations
Yuting Chen, Liqi Wang, Shixin Zhu
Any permutation polynomial is an -cycle permutation. When is a specific small positive integer, one can obtain efficient permutations, such as involutions, triple-cycle pe…
New entanglement-assisted quantum MDS codes with length
Shixin Zhu, Wan Jiang, Xiaojing Chen
The entanglement-assisted stabilizer formalism can transform arbitrary classical linear codes into entanglement-assisted quantum error correcting codes (EAQECCs). In this work, we…
A Class of Narrow-Sense BCH Codes
Shixin Zhu, Zhonghua Sun, Xiaoshan Kai
BCH codes are an important class of cyclic codes which have applications in satellite communications, DVDs, disk drives, and two-dimensional bar codes. Although BCH codes have been…
Euclidean and Hermitian Hulls of MDS Codes and Their Applications to EAQECCs
Weijun Fang, Fang-Wei Fu, Lanqiang Li +1
In this paper, we construct several classes of maximum distance separable (MDS) codes via generalized Reed-Solomon (GRS) codes and extended GRS codes, where we can determine the di…
Some new bounds on LCD codes over finite fields
Binbin Pang, Shixin Zhu, Xiaoshan Kai
In this paper, we show that LCD codes are not equivalent to linear codes over small finite fields. The enumeration of binary optimal LCD codes is obtained. We also get the exact va…