I obtained my Ph.D. degree in Applied Mathematics from The Hong Kong Polytechnic University, and will join the Hong Kong University of Science and Technology in January 2026. My research focuses on Coding Theory and Matrix Theory.
📂 Dimension and Bose distance of primitive BCH codes.
The table below lists the dimensions and Bose distances of several primitive BCH codes. These parameters are computed using the formulas given in Theorems 3, 5, 6, and 7 of paper [1]. The Python programs implementing these formulas are provided here. In addition, all parameters were verified using Magma, and the corresponding Magma programs are also available.[1] R. Zheng, N. S. Sze and Z. Huang, "The Dimension and Bose Distance of Certain Primitive BCH Codes," IEEE Transactions on Information Theory, vol. 71, no. 10, pp. 7670-7687, Oct. 2025, doi: 10.1109/TIT.2025.3587496.📂 Dimension and Bose distance of BCH codes of length $q^m-1/\lambda$.
The table below lists the dimensions and Bose distances of several BCH codes of length $q^m-1/\lambda$, where $\lambda$ is a positive divisor of $q-1$. These parameters are computed using the formulas given in Theorems 1, 2, 3, and 4 of paper [2]. The Python programs implementing these formulas are provided here. In addition, all parameters were verified using Magma, and the corresponding Magma programs are also available.[2] R. Zheng, N. S. Sze and Z. Huang, “The dimension and Bose distance of some BCH codes of length $q^m-1/\lambda$. Submitted to IEEE Transactions on Information Theory. DOI.10.48550/arXiv.2510.02020.