Some three-weight linear codes and their complete weight enumerators and weight hierarchies
<|reference_start|>Some three-weight linear codes and their complete weight enumerators and weight hierarchies: Linear codes with a few weights can be applied to secrete sharing, authentication codes, association schemes and strongly regular graphs. For an odd prime power $q$, we construct a class of three-weight $\F_q$-linear codes from quadratic functions via a bivariate construction and then determine the complete weight enumerators and weight hierarchies of these linear codes completely. This paper generalizes some results in Li et al. (2022) and Hu et al. (2024).<|reference_end|>
@article{li2024some,
    title={Some three-weight linear codes and their complete weight enumerators and
  weight hierarchies},
    author={Xiumei Li, Zongxi Chen and Fei Li},
    journal={arXiv preprint arXiv:2410.02209},
    year={2024},
    archivePrefix={arXiv},
    eprint={2410.02209},
    primaryClass={cs.IT math.IT math.NT}
}