New topological subsystem codes from semi-regular tessellations
<|reference_start|>New topological subsystem codes from semi-regular tessellations: In this work, we present new constructions for topological subsystem codes using semi-regular Euclidean and hyperbolic tessellations. They give us new families of codes, and we also provide a new family of codes obtained through an already existing construction, due to Sarvepalli and Brown. We also prove new results that allow us to obtain the parameters of these new codes.<|reference_end|>
@article{da silva2024new,
    title={New topological subsystem codes from semi-regular tessellations},
    author={Eduardo Brandani da Silva and Evandro Mazetto Brizola},
    journal={arXiv preprint arXiv:2402.18814},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.18814},
    primaryClass={cs.IT math.IT}
}