New topological subsystem codes from semi-regular tessellations
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866929259212177408 |
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| author | da Silva, Eduardo Brandani Brizola, Evandro Mazetto |
| author_facet | da Silva, Eduardo Brandani Brizola, Evandro Mazetto |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18814 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New topological subsystem codes from semi-regular tessellations da Silva, Eduardo Brandani Brizola, Evandro Mazetto Information Theory 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. |
| title | New topological subsystem codes from semi-regular tessellations |
| topic | Information Theory |
| url | https://arxiv.org/abs/2402.18814 |