On Quantum and Classical BCH Codes
| dc.creator | Aly, Salah A. | |
| dc.creator | Klappenecker, Andreas | |
| dc.creator | Sarvepalli, Pradeep Kiran | |
| dc.date | 2006-04-14 | |
| dc.date.accessioned | 2026-07-07T07:11:52Z | |
| dc.date.available | 2026-07-07T07:11:52Z | |
| dc.description | Classical BCH codes that contain their (Euclidean or Hermitian) dual codes can be used to construct quantum stabilizer codes; this correspondence studies the properties of such codes. It is shown that a BCH code of length n can contain its dual code only if its designed distance d=O(sqrt(n)), and the converse is proved in the case of narrow-sense codes. Furthermore, the dimension of narrow-sense BCH codes with small design distance is completely determined, and - consequently - the bounds on their minimum distance are improved. These results make it possible to determine the parameters of quantum BCH codes in terms of their design parameters. | |
| dc.description | 17 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0604102 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0604102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111920 | |
| dc.subject | Quantum Physics | |
| dc.title | On Quantum and Classical BCH Codes | |
| dc.type | text |