Kırcalı, Mustafa and Özbudak, Ferruh (2024) New q-ary quantum MDS codes of length strictly larger than q+1. Quantum Information Processing, 23 (12). ISSN 1570-0755 (Print) 1573-1332 (Online)
Full text not available from this repository. (Request a copy)
Official URL: https://dx.doi.org/10.1007/s11128-024-04598-1
Abstract
Quantum information and quantum computation have become a hot topic in recent decades. Quantum error-correcting codes are useful and have many applications in quantum computations and quantum communications. We construct a new class of quantum Maximum Distance Separable (MDS) codes. Our construction is based on a recent result of Ball and Vilar (IEEE Trans Inf Theory 68:3796–3805, 2022). We study a large class of explicit polynomials and obtain their required arithmetical properties which imply construction of new q-ary quantum MDS codes of length strictly larger than q+1, when q is odd.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Hermitian self-orthogonal code; Quantum MDS codes; Reed-Solomon code; Truncated code |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Ferruh Özbudak |
| Date Deposited: | 04 Feb 2025 15:01 |
| Last Modified: | 04 Feb 2025 15:01 |
| URI: | https://research.sabanciuniv.edu/id/eprint/50818 |
Actions (login required)
- View Item