Weight distributions of subfield codes from special functions
Abstract
In this paper, we first determine the weight distributions of some subfield codes $ \mathcal{C}_{f}^{(p)} $ and punctured codes $ \mathcal{C}_{f}^{*(p)} $ constructed from special functions, both of which are few-weight codes. Furthermore, we derive the parameters of their dual codes. Notably, some of these codes and their duals turn out to be optimal or almost distance-optimal. As an application, two classes of 2-designs are constructed from some codes.
Fields of Study & Subjects
Coding theory and cryptography
Advanced Combinatorial Mathematics
Finite Group Theory Research
Publication details
- Journal / source
- AIMS Mathematics
- Volume
- 11
- Issue
- 1
- Pages
- 2797–2815
- Publication date
- 1 January 2026