3 papers
cs.IT2025
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,…
cs.IT2025
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…
cs.IT2025
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…