Linear l-intersection pair of codes is the general-ization of LCP of codes and hull of codes. The $\ell$ represents the dimension of the intersection of a given pair of codes over a finite field $\mathbb{F}_{q}$ . The l-intersection is useful in obtaining some good Entanglement assisted quantum error-correcting (EAQEC) codes and for some cases MDS EAQEC codes. In this paper, the l-intersection is studied on Monomial Cartesian (MC) and Decreasing Monomial Cartesian (DMC) codes, and their char- acterizations are given. As an application, some good parameter EAQEC codes are obtained and presented in a tabular form.Linear l-intersection pair of codes is the general-ization of LCP of codes and hull of codes. The$\ell$represents the dimension of the intersection of a given pair of codes over a finite field$\mathbb{F}_{q}$. The l-intersection is useful in obtaining some good Entanglement assisted quantum error-correcting (EAQEC) codes and for some cases MDS EAQEC codes. In this paper, the l-intersection is studied on Monomial Cartesian (MC) and Decreasing Monomial Cartesian (DMC) codes, and their char- acterizations are given. As an application, some good parameter EAQEC codes are obtained and presented in a tabular form.

IEEE International Students' Conference on Electrical, Electronics and Computer Science (SCEECS)Feb 18, 20230 citations

Linear l-intersection pair of codes is the general-ization of LCP of codes and hull of codes. The

\ell

represents the dimension of the intersection of a given pair of codes over a finite field

\mathbb{F}_{q}

. The l-intersection is useful in obtaining some good Entanglement assisted quantum error-correcting (EAQEC) codes and for some cases MDS EAQEC codes. In this paper, the l-intersection is studied on Monomial Cartesian (MC) and Decreasing Monomial Cartesian (DMC) codes, and their char- acterizations are given. As an application, some good parameter EAQEC codes are obtained and presented in a tabular form.