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An explicit construction of quantum codes from one-generator generalized quasi-cyclic codes
- Source :
- MATEC Web of Conferences, Vol 336, p 04001 (2021)
- Publication Year :
- 2021
- Publisher :
- EDP Sciences, 2021.
-
Abstract
- In this paper, we take advantage of a class of one-generator generalized quasi-cyclic (GQC) codes of index 2 to construct quantum error-correcting codes. By studying the form of Hermitian dual codes and their algebraic structure, we propose a sufficient condition for self-orthogonality of GQC codes with Hermitian inner product. By comparison, the quantum codes we constructed have better parameters than known codes.
- Subjects :
- Engineering (General). Civil engineering (General)
TA1-2040
Subjects
Details
- Language :
- English, French
- ISSN :
- 2261236X and 20213360
- Volume :
- 336
- Database :
- Directory of Open Access Journals
- Journal :
- MATEC Web of Conferences
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.9a680a1eeebd4b06a661427eec1e1935
- Document Type :
- article
- Full Text :
- https://doi.org/10.1051/matecconf/202133604001