New Quantum MDS Codes with Flexible Parameters from Hermitian Self-Orthogonal GRS 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_ | 1866911204808589312 |
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| author | Campion, Oisin Hernando, Fernando McGuire, Gary |
| author_facet | Campion, Oisin Hernando, Fernando McGuire, Gary |
| contents | Let $q$ be a prime power.
Let $λ>1$ be a divisor of $q-1$, and let $τ>1$ and $ρ>1$ be divisors of $q+1$.
Under certain conditions we prove that there exists an MDS stabilizer quantum code with length
$n=λτσ$ where $2\le σ\le ρ$.
This is a flexible construction, which
includes new MDS parameters not known before. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17010 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New Quantum MDS Codes with Flexible Parameters from Hermitian Self-Orthogonal GRS Codes Campion, Oisin Hernando, Fernando McGuire, Gary Information Theory 81P45, 94B65, 11T71 Let $q$ be a prime power. Let $λ>1$ be a divisor of $q-1$, and let $τ>1$ and $ρ>1$ be divisors of $q+1$. Under certain conditions we prove that there exists an MDS stabilizer quantum code with length $n=λτσ$ where $2\le σ\le ρ$. This is a flexible construction, which includes new MDS parameters not known before. |
| title | New Quantum MDS Codes with Flexible Parameters from Hermitian Self-Orthogonal GRS Codes |
| topic | Information Theory 81P45, 94B65, 11T71 |
| url | https://arxiv.org/abs/2501.17010 |