Quantum Codes and Entanglement-Assisted Quantum Codes Derived from One-Generator Quasi-Twisted Codes

摘要

In this paper, we consider a special class of one-generator quasi-twisted (QT) codes of index 2 and explore their algebraic structure. By studying the form of Hermitian dual codes, a sufficient condition for self-orthogonality with Hermitian inner product is proposed. Using some one-generator QT codes, we construct some quantum codes on small finite fields. Moreover, a new method is provided to construct maximal-entanglement entanglement-assisted quantum codes via the class of QT codes. By comparison, our quantum codes and maximal-entanglement entanglement-assisted quantum codes have better parameters than any known codes.