@article{Liu2026, 
author = {Shanshan Liu and Yan Liu and Xiaoyu Yu},
title = {Weight distributions of subfield codes from special functions},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {1},
pages = {2797-2815},
keywords = {subfield code, weight distribution, few weight, punctured code, design},
url = {https://www.sciopen.com/article/10.3934/math.2026112},
doi = {10.3934/math.2026112},
abstract = {In this paper, we first determine the weight distributions of some subfield codes              C              f              (      p      )       and punctured codes              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.}
}