Work

Dimension of the Hermitian Hull of Constacyclic Codes with Length n = $\frac{q^4+1}{2}$

Year: 2025

Type: article

Abstract: 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.

Source: IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences

DOI: 10.1587/transfun.2025eal2035

Authors: Ming YAN, Tongjiang YAN, Yuhua SUN, Xiaoni DU

Institutions: China University of Petroleum, East China, Northwest Normal University

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, Natural Science Foundation of Shandong Province, Fundamental Research Funds for the Central Universities

Awards: G2470523224, G8036984857