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On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes.
- Source :
- Designs, Codes & Cryptography; May2022, Vol. 90 Issue 5, p1103-1112, 10p
- Publication Year :
- 2022
-
Abstract
- Many q-ary stabilizer quantum codes can be constructed from Hermitian self-orthogonal q 2 -ary linear codes. This result can be generalized to q 2 m -ary linear codes, m > 1 . We give a result for easily obtaining quantum codes from that generalization. As a consequence we provide several new binary stabilizer quantum codes which are records according to Grassl (Bounds on the minimum distance of linear codes, http://www.codetables.de, 2020) and new q-ary ones, with q ≠ 2 , improving others in the literature. [ABSTRACT FROM AUTHOR]
- Subjects :
- LINEAR codes
GENERALIZATION
ORTHOGRAPHIC projection
Subjects
Details
- Language :
- English
- ISSN :
- 09251022
- Volume :
- 90
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Designs, Codes & Cryptography
- Publication Type :
- Academic Journal
- Accession number :
- 156499058
- Full Text :
- https://doi.org/10.1007/s10623-022-01018-2