6 papers
Construction of Minimal Ternary Linear Codes with Dimension Via Krawtchouk Polynomials
Haibo Liu, Xin Guo, Qunying Liao
Recently, minimal linear codes have been extensively studied due to their applications in secret sharing schemes, secure two-party computations, and so on. Constructing minimal lin…
A class of optimal authentication codes with secrecy
Haibo Liu, Chengzhi Wei, Qunying Liao
In this paper, a class of linear authentication codes with secrecy, which are equipped with simple encoding rules and can be easily implemented, is constructed. By means of a speci…
Several classes of three-weight or four-weight linear codes
Qunying Liao, Zhaohui Zhang, Peipei Zheng
In this manuscript, we construct a class of projective three-weight linear codes and two classes of projective four-weight linear codes over F2 from the defining sets construction,…
On the Ding and Helleseth's 9th open problem about optimal ternary cyclic codes
Peipei Zheng, Dong He, Qunying Liao
The cyclic code is a subclass of linear codes and has applications in consumer electronics, data storage systems and communication systems as they have efficient encoding and decod…
On the Ding and Helleseth's 8th open problem about optimal ternary cyclic codes
Dong He, Peipei Zheng, Qunying Liao
The cyclic code is a subclass of linear codes and has applications in consumer electronics, data storage systems and communication systems due to the efficient encoding and decodin…
The error-correcting pair for several classes of NMDS linear codes
Dong He, Zhaohui Zhang, Qunying Liao
The error-correcting pair is a general algebraic decoding method for linear codes. The near maximal distance separable (NMDS) linear code is a subclass of linear codes and has appl…