Five-Lee-weight linear codes over $\mathbbF_q+u\mathbbF_q$
<|reference_start|>Five-Lee-weight linear codes over $\mathbbF_q+u\mathbbF_q$: In this study, linear codes having their Lee-weight distributions over the semi-local ring $\mathbb{F}_{q}+u\mathbb{F}_{q}$ with $u^{2}=1$ are constructed using the defining set and Gauss sums for an odd prime $q $. Moreover, we derive complete Hamming-weight enumerators for the images of the constructed linear codes under the Gray map. We finally show an application to secret sharing schemes.<|reference_end|>
@article{kumar2024five-lee-weight,
    title={Five-Lee-weight linear codes over $\mathbb{F}_{q}+u\mathbb{F}_{q}$},
    author={Pavan Kumar and Noor Mohammad Khan},
    journal={arXiv preprint arXiv:2406.18307},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.18307},
    primaryClass={cs.IT math.IT}
}