Double skew cyclic codes over $\mathbbF_q+v\mathbbF_q$
<|reference_start|>Double skew cyclic codes over $\mathbbF_q+v\mathbbF_q$: In this study, in order to get better codes, we focus on double skew cyclic codes over the ring $\mathrm{R}= \mathbb{F}_q+v\mathbb{F}_q, ~v^2=v$ where $q$ is a prime power. We investigate the generator polynomials, minimal spanning sets, generator matrices, and the dual codes over the ring $\mathrm{R}$. As an implementation, the obtained results are illustrated with some good examples. Moreover, we introduce a construction for new generator matrices and thus achieve codes with improved parameters compared to those found in existing literature. Finally, we tabulate our obtained block codes over the ring $\mathrm{R}$.<|reference_end|>
@article{singh2024double,
    title={Double skew cyclic codes over $\mathbb{F}_q+v\mathbb{F}_q$},
    author={Ashutosh Singh, Tulay Yildirim, Om Prakash},
    journal={arXiv preprint arXiv:2403.16833},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.16833},
    primaryClass={cs.IT math.IT}
}