26 citations · 29 across the 15 of their papers we have counts for
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The Exact Parameters of A Family of BCH Codes
Zhonghua Sun
Despite the theoretical and practical significance of BCH codes, the exact minimum distance and dimension remain unknown for many families. This paper establishes the precise minim…
A family of linear codes that are either non-GRS MDS codes or NMDS codes
Yang Li, Zhonghua Sun, Shixin Zhu
Both maximum distance separable (MDS) codes that are not equivalent to generalized Reed-Solomon (GRS) codes (non-GRS MDS codes) and near MDS (NMDS) codes have nice applications in…
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…
The extended codes of a family of reversible MDS cyclic codes
Zhonghua Sun, Cunsheng Ding
A linear code with parameters is called a maximum distance separable (MDS for short) code. A linear code with parameters is said to be almost maximum…
The Extended Codes of Some Linear Codes
Zhonghua Sun, Cunsheng Ding, Tingfang Chen
The classical way of extending an linear code $\C$ is to add an overall parity-check coordinate to each codeword of the linear code $\C$. This extended code, denoted by…
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…
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…
Reversible Codes and Its Application to Reversible DNA Codes over
Lei Chen, Jin Li, Zhonghua Sun
Coterm polynomials are introduced by Oztas et al. [a novel approach for constructing reversible codes and applications to DNA codes over the ring , Finite Fields…
A note on complete classification of -constacyclic codes of length over $\F_{p^m}+u\F_{p^m}+u^2\F_{p^m}$
Reza Sobhani, Zhonghua Sun, Liqi Wang +1
For units and in $\F_{p^m}$, the structure of -constacyclic codes of length over is studied and sel…
A note on the Singleton bounds for codes over finite rings
Yongsheng Tang, Heqian Xu, Zhonghua Sun
In this paper, we give a notation on the Singleton bounds for linear codes over a finite commutative quasi-Frobenius ring in the work of Shiromoto [5]. We show that there exists a…
The reversible negacyclic codes over finite fields
Shixin Zhu, Binbin Pang, Zhonghua Sun
In this paper, by investigating the factor of the , we deduce that the structure of the reversible negacyclic code over the finite field , where is an od…
The symbol-pair distance distribution of repeated-root cyclic codes over
Shixin Zhu, Zhonghua Sun, Liqi Wang
Symbol-pair codes are proposed to protect against pair errors in symbol-pair read channels. One of the most important task in symbol-pair coding theory is to determine the minimum…