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https://hdl.handle.net/10356/138703| Title: | Good stabilizer codes from quasi-cyclic codes over F4 and F9 | Authors: | Ezerman, Martianus Frederic Ling, San Özkaya, Buket Solé, Patrick |
Keywords: | Engineering::Computer science and engineering::Information systems Science::Mathematics::Applied mathematics::Information theory |
Issue Date: | 2019 | Source: | Ezerman, M. F., Ling, S., Özkaya, B., & Solé, P. (2019). Good stabilizer codes from quasi-cyclic codes over F4 and F9. Proceeding of the 2019 IEEE International Symposium on Information Theory (ISIT), 2898-2902. doi:10.1109/ISIT.2019.8849416 | Conference: | 2019 IEEE International Symposium on Information Theory (ISIT) | Abstract: | We apply quantum Construction X on quasi-cyclic codes with large Hermitian hulls over F 4 and F 9 to derive good qubit and qutrit stabilizer codes, respectively. In several occasions we obtain quantum codes with stricly improved parameters than the current record. In numerous other occasions we obtain quantum codes with best-known performance. For the qutrit ones we supply a systematic construction to fill some gaps in the literature. | URI: | https://hdl.handle.net/10356/138703 | DOI: | 10.1109/ISIT.2019.8849416 | Schools: | School of Physical and Mathematical Sciences | Rights: | © 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: https://doi.org/10.1109/ISIT.2019.8849416 | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
| Appears in Collections: | SPMS Conference Papers |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| construction-x-ISIT.pdf | accepted version | 307.08 kB | Adobe PDF |  View/Open |
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