Good stabilizer codes from quasi-cyclic codes over F4 and F9
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 obta...
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sg-ntu-dr.10356-1387032023-02-28T19:17:35Z Good stabilizer codes from quasi-cyclic codes over F4 and F9 Ezerman, Martianus Frederic Ling, San Özkaya, Buket Solé, Patrick School of Physical and Mathematical Sciences 2019 IEEE International Symposium on Information Theory (ISIT) Engineering::Computer science and engineering::Information systems Science::Mathematics::Applied mathematics::Information theory Construction X Hermitian Hull 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. Accepted version 2020-05-12T03:03:11Z 2020-05-12T03:03:11Z 2019 Conference Paper 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 https://hdl.handle.net/10356/138703 10.1109/ISIT.2019.8849416 9781538692912 2-s2.0-85073143979 2898 2902 en © 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 application/pdf |
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Nanyang Technological University |
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NTU Library |
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Asia |
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Singapore Singapore |
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| language |
English |
| topic |
Engineering::Computer science and engineering::Information systems Science::Mathematics::Applied mathematics::Information theory Construction X Hermitian Hull |
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Engineering::Computer science and engineering::Information systems Science::Mathematics::Applied mathematics::Information theory Construction X Hermitian Hull Ezerman, Martianus Frederic Ling, San Özkaya, Buket Solé, Patrick Good stabilizer codes from quasi-cyclic codes over F4 and F9 |
| description |
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. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Ezerman, Martianus Frederic Ling, San Özkaya, Buket Solé, Patrick |
| format |
Conference or Workshop Item |
| author |
Ezerman, Martianus Frederic Ling, San Özkaya, Buket Solé, Patrick |
| author_sort |
Ezerman, Martianus Frederic |
| title |
Good stabilizer codes from quasi-cyclic codes over F4 and F9 |
| title_short |
Good stabilizer codes from quasi-cyclic codes over F4 and F9 |
| title_full |
Good stabilizer codes from quasi-cyclic codes over F4 and F9 |
| title_fullStr |
Good stabilizer codes from quasi-cyclic codes over F4 and F9 |
| title_full_unstemmed |
Good stabilizer codes from quasi-cyclic codes over F4 and F9 |
| title_sort |
good stabilizer codes from quasi-cyclic codes over f4 and f9 |
| publishDate |
2020 |
| url |
https://hdl.handle.net/10356/138703 |
| _version_ |
1759855660937248768 |