Jingjun Bao

collaborators

2 papers

cs.IT2026

Counterexamples, Constructions, and Nonexistence Results for Optimal Ternary Cyclic Codes

Jingjun Bao, Hanlin Zou

Cyclic codes are an important subclass of linear codes with wide applications in communication systems and data storage systems. In 2013, Ding and Helleseth presented nine open pro…

math.CO2024

Partial Difference Sets with Denniston Parameters in Elementary Abelian $p$ -Groups

Jingjun Bao, Qing Xiang, Meng Zhao

Denniston \cite{D1969} constructed partial difference sets (PDS) with parameters $(2^{3 m}, (2^{m + r} - 2^{m} + 2^{r}) (2^{m} - 1), 2^{m} - 2^{r} + (2^{m + r} - 2^{m} + 2^{r}) (2^{r} - 2), (2^{m + r} - 2^{m} + 2^{r}) (2^{r} - 1))$ in…

Counterexamples, Constructions, and Nonexistence Results for Optimal Ternary Cyclic Codes

Partial Difference Sets with Denniston Parameters in Elementary Abelian p-Groups

Partial Difference Sets with Denniston Parameters in Elementary Abelian $p$ -Groups