Ezerman, Martianus Frederic and Grass, Markus and Ling, San and Özbudak, Ferruh and Ozkaya, Buket (2025) Characterization of nearly self-orthogonal Quasi-twisted codes and related quantum codes. IEEE Transactions on Information Theory, 71 (1). pp. 499-517. ISSN 0018-9448 (Print) 1557-9654 (Online)
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Official URL: https://dx.doi.org/10.1109/TIT.2024.3503420
Abstract
Quasi-twisted codes are used here as the classical ingredients in the so-called Construction X for quantum error-control codes. The construction utilizes nearly self-orthogonal codes to design quantum stabilizer codes. We expand the choices of the inner product to also cover the symplectic and trace-symplectic inner products, in addition to the original Hermitian one. A refined lower bound on the minimum distance of the resulting quantum codes is established and illustrated. We report numerous record breaking quantum codes from our randomized search for inclusion in the updated online database.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Construction X; Hermitian hull; quantum stabilizer code; quasi-twisted code |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Ferruh Özbudak |
| Date Deposited: | 11 Feb 2025 16:03 |
| Last Modified: | 11 Feb 2025 16:03 |
| URI: | https://research.sabanciuniv.edu/id/eprint/50827 |
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