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A class of Hermitian dual-containing constacyclic codes and related quantum codes.
- Source :
-
Quantum Information Processing . Dec2023, Vol. 22 Issue 12, p1-27. 27p. - Publication Year :
- 2023
-
Abstract
- In this paper, we study a class of Hermitian dual-containing constacyclic codes of length n = q 2 m - 1 q + 1 , where q is a power of 2 and m ≥ 2 is an integer. We apply the Hermitian construction to gain quantum constacyclic codes, and lots of codes obtained in the present paper have parameters better than those of the known quantum codes. The Hermitian hull of a linear code is defined to be the intersection of itself and its Hermitian dual. We construct a family of entanglement-assisted quantum error-correcting (EAQEC) codes with n = 4 m - 1 3 via determining the dimensions of the Hermitian Hulls. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR codes
*INTEGERS
Subjects
Details
- Language :
- English
- ISSN :
- 15700755
- Volume :
- 22
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Quantum Information Processing
- Publication Type :
- Academic Journal
- Accession number :
- 174759489
- Full Text :
- https://doi.org/10.1007/s11128-023-04171-2