Dimension of the Hermitian Hull of Constacyclic Codes with Length <i>n</i> = $\frac{q^4+1}{2}$
In this paper, we present a new classification method for the defining sets of η-constacyclic codes of length $n=\frac{q^4+1}{2}$. This classification can simplify the calculation of the dimensions of the Hermitian hulls for these codes, while deriving the numbers of sharing pre-shared maximally entangled states of the corresponding entanglement-assisted quantum error-correcting codes under various design distances.
Authors
- Ming Yan (ORCID: https://orcid.org/0000-0002-8686-3530)
- Tongjiang Yan (ORCID: https://orcid.org/0000-0002-9647-503X)
- Yuhua Sun (ORCID: https://orcid.org/0000-0002-9046-1091)
- Xiaoni Du (ORCID: https://orcid.org/0000-0003-3997-7196)
Institutions
- China University of Petroleum, East China (CN)
- Northwest Normal University (CN)
Publication Details
- Journal
- IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
- Published
- 2025-05-22
- DOI
- https://doi.org/10.1587/transfun.2025eal2035
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Shandong Province
- Fundamental Research Funds for the Central Universities