New Quantum Stabilizer Codes from generalized Monomial-Cartesian Codes constructed using two different generalized Reed-Solomon codes
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914207321030656 |
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| author | Campion, Oisin Hernando, Fernando McGuire, Gary |
| author_facet | Campion, Oisin Hernando, Fernando McGuire, Gary |
| contents | In this work, we define Generalized Monomial Cartesian Codes (GMCC), which constitute a natural extension of generalized Reed-Solomon codes. We describe how two different generalized Reed-Solomon codes can be combined to construct one GMCC. We further establish sufficient conditions ensuring that the GMCC are Hermitian self-orthogonal, thus leading to new constructions of quantum codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16482 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New Quantum Stabilizer Codes from generalized Monomial-Cartesian Codes constructed using two different generalized Reed-Solomon codes Campion, Oisin Hernando, Fernando McGuire, Gary Information Theory 81P70, 94B05, 14G50, 11T71 In this work, we define Generalized Monomial Cartesian Codes (GMCC), which constitute a natural extension of generalized Reed-Solomon codes. We describe how two different generalized Reed-Solomon codes can be combined to construct one GMCC. We further establish sufficient conditions ensuring that the GMCC are Hermitian self-orthogonal, thus leading to new constructions of quantum codes. |
| title | New Quantum Stabilizer Codes from generalized Monomial-Cartesian Codes constructed using two different generalized Reed-Solomon codes |
| topic | Information Theory 81P70, 94B05, 14G50, 11T71 |
| url | https://arxiv.org/abs/2512.16482 |