Quantum codes from affine variety codes and their subfield-subcodes

Galindo Carlos; Hernando Fernando

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Quantum codes from affine variety codes and their subfield-subcodes

机译：仿射变种代码中的量子代码及其子场子代码

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摘要

We use affine variety codes and their subfield-subcodes to obtain quantum stabilizer codes via the CSS code construction. With this procedure we get codes with good parameters, some of them exceeding the CSS quantum Gilbert-Varshamov bound given by Feng and Ma.

机译：我们使用仿射变种代码及其子域子代码通过CSS代码构造来获取量子稳定器代码。通过此过程，我们可以获得具有良好参数的代码，其中一些参数超出了Feng和Ma给出的CSS量子Gilbert-Varshamov界限。

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来源
《Designs, Codes and Crytography》 |2015年第1期|89-100|共12页
作者
Galindo Carlos; Hernando Fernando;
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作者单位

Univ Jaume 1, Inst Univ Matemat & Aplicac Castellon, Castellon de La Plana 12071, Spain|Univ Jaume 1, Dept Matemat, Castellon de La Plana 12071, Spain;

Univ Jaume 1, Inst Univ Matemat & Aplicac Castellon, Castellon de La Plana 12071, Spain|Univ Jaume 1, Dept Matemat, Castellon de La Plana 12071, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Affine variety codes; Quantum codes; Subfield-subcodes;

机译：仿射变种代码;量子代码;子域子代码;

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1. Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement [J] . Galindo Carlos, Hernando Fernando, Ruano Diego Quantum information processing . 2015,第9期

机译：J仿射变种码和新的类似Steane的扩展的稳定剂量子码
2. Affine Variety Codes over a Hyperelliptic Curve [J] . Patanker N., Singh S. K. Problems of information transmission . 2021,第1期

机译：通过高温曲线仿射品种代码
3. Locally recoverable J-affine variety codes [J] . Galindo Carlos, Hernando Fernando, Munuera Carlos Finite fields and their applications . 2020,第Juna期

机译：本地可恢复的J-acrifin常态代码
4. Subfield-subcodes of Generalized Toric codes [C] . Hernando Fernando, OSullivan Michael E., Popovici Emanuel, 2010 IEEE International Symposium on Information Theory Proceedings . 2010

机译：广义复曲面代码的子字段子代码
5. Quantum error correcting codes: From stabilizer codes to induced codes. [D] . Loeb, Edward A., III. 2006

机译：量子纠错码：从稳定器码到诱导码。
6. Reverse-Micelle Synthesis of Electrochemically Encoded Quantum Dot Barcodes: Application to Electronic Coding of a Cancer Marker [O] . Yun Xiang, Yuyong Zhang, Yue Chang, -1

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7. Quantum codes from affine variety codes and their subfield-subcodes [O] . Galindo Pastor Carlos, Hernando Carrillo Fernando Javier 2015

机译：来自仿射变换码及其子场子码的量子码
8. Some Results on Cyclic Codes Which Are Invariant under the Affine Group. [R] . Kasami, T., Lin, S., Peterson, W. W. 1966

机译：关于仿射群下不变循环码的一些结果。

Quantum codes from affine variety codes and their subfield-subcodes

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