Linear codes with few weights over $\mathbbF_p+u\mathbbF_p$
<|reference_start|>Linear codes with few weights over $\mathbbF_p+u\mathbbF_p$: For any positive integer $m$ and an odd prime $p$; let $\mathbb{F}_{q}+u\mathbb{F}_{q}$, where $q=p^{m}$, be a ring extension of the ring $\mathbb{F}_{p}+u\mathbb{F}_{p}.$   In this paper, we construct linear codes over $\mathbb{F}_{p}+u\mathbb{F}_{p}$ by using trace function defined on $\mathbb{F}_{q}+u\mathbb{F}_{q}$ and determine their Hamming weight distributions by employing symplectic-weight distributions of their Gray images.<|reference_end|>
@article{kumar2024linear,
    title={Linear codes with few weights over $\mathbb{F}_{p}+u\mathbb{F}_{p}$},
    author={Pavan Kumar and Noor Mohammad Khan},
    journal={arXiv preprint arXiv:2406.18325},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.18325},
    primaryClass={cs.IT math.IT}
}