Quasi-cyclic Hermitian construction of binary quantum codes
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866917098889936896 |
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| author | Lu, Liangdong Zhang, Gaochi Feng, Ganyu Ma, Wenzheng |
| author_facet | Lu, Liangdong Zhang, Gaochi Feng, Ganyu Ma, Wenzheng |
| contents | In this paper, we propose a sufficient condition for a family of 2-generator self-orthogonal quasi-cyclic codes with respect to Hermitian inner product. Supported in the Hermitian construction, we show algebraic constructions of good quantum codes. 30 new binary quantum codes with good parameters improving the best-known lower bounds on minimum distance in Grassl's code tables \cite{Grassl:codetables} are constructed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_04487 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Quasi-cyclic Hermitian construction of binary quantum codes Lu, Liangdong Zhang, Gaochi Feng, Ganyu Ma, Wenzheng Information Theory In this paper, we propose a sufficient condition for a family of 2-generator self-orthogonal quasi-cyclic codes with respect to Hermitian inner product. Supported in the Hermitian construction, we show algebraic constructions of good quantum codes. 30 new binary quantum codes with good parameters improving the best-known lower bounds on minimum distance in Grassl's code tables \cite{Grassl:codetables} are constructed. |
| title | Quasi-cyclic Hermitian construction of binary quantum codes |
| topic | Information Theory |
| url | https://arxiv.org/abs/2210.04487 |