3 papers
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…
cs.IT2025
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…