In this paper, we establish the necessary and sufficient conditions for quasi-cyclic (QC)
codes with index even to be symplectic self-orthogonal. Subsequently, we present the lower …

One of the main objectives of quantum error-correction theory is to construct quantum codes
with optimal parameters and properties. In this paper, we propose a class of 2-generator …

This paper considers three kinds of quasi-cyclic codes of index two with one generator or
two generators and their applications in quantum code construction. In accordance with the …

We study the binary linear code families associated with certain types of multivariable
functions. We observe that a majority of these codes are not optimal codes nor few weight …

In this paper, we use the principal ideals of group rings to construct quantum codes. We use
multivariate polynomial rings to represent group rings and use multivariate polynomials to …

In this paper, we propose a class of 1-generator quasi-twisted codes with special structures
and investigate their application to construct ternary quantum codes. We discuss the …

In this paper, we propose a sufficient condition for a family of 2-generator self-orthogonal
quasi-cyclic codes with respect to Hermitian inner product. Supported in the Hermitian …

In this paper, we consider group rings and skew group rings and use them to construct
binary quantum error-correcting codes (QECCs, for short). We study three classes of groups …

This article studies one-generator and two-generator quasi-cyclic codes over finite fields. We
present two versions of necessary and sufficient conditions for the symplectic …

This paper considers three kinds of quasi-cyclic codes of index two with one generator or
two generators and their applications in quantum code construction. In accordance with the …