Good Stabilizer Codes from Quasi-Cyclic Codes over F-4 and F-9

Date

2019-01-01

Author

Ezerman, Martianus Frederic
Ling, San
Özkaya, Buket
Sole, Patrick

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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.

Subject Keywords

Construction X, Hermitian hull, quantum stabilizer code, quasi-cyclic code

URI

https://hdl.handle.net/11511/103414

Conference Name

IEEE International Symposium on Information Theory (ISIT)

Collections

Graduate School of Applied Mathematics, Conference / Seminar

Citation Formats

M. F. Ezerman, S. Ling, B. Özkaya, and P. Sole, “Good Stabilizer Codes from Quasi-Cyclic Codes over F-4 and F-9,” presented at the IEEE International Symposium on Information Theory (ISIT), Paris, Fransa, 2019, Accessed: 00, 2023. [Online]. Available: https://hdl.handle.net/11511/103414.