Locally repairable codes have become a key instrument in large-scale distributed storage
systems. This paper focuses on the construction of locally repairable codes with-locality that …

In 2020, Cao et al. proved that any repeated-root constacyclic code is monomially equivalent
to a matrix product code of simple-root constacyclic codes. In this paper, we study a family of …

Symbol-pair codes are used to protect against symbol-pair errors in high density data
storage systems. One of the most important tasks in symbol-pair coding theory is to design …

In this paper, we use the CSS and Steane's constructions to establish quantum error-
correcting codes (briefly, QEC codes) from cyclic codes of length 3 ps over F pm. We obtain …

As a further development and deepening of two examples in the paper (Fan and Zhang,
2017), we construct MDS Galois self-dual constacyclic codes over finite fields. First, we give …

In this paper, we use the CSS and Steane's constructions to establish quantum error-
correcting codes (briefly, QEC codes) from cyclic codes of length over. We obtain several …

In this article, we construct some MDS quantum error-correcting codes (QECCs) from
classes of constacyclic codes over R s= F p+ u 1 F p+···+ us F p, ui 2= ui, uiuj= ujui= 0, for …

Let p≠ 3 be any prime. The structures of all λ-constacyclic codes of length 3p s over the
finite commutative chain ring Fp m+ uFp m (u 2= 0) are established in the term of their …

Matrix product codes are generalizations of some well-known classes of codes, including
generalized Reed-Muller codes and repeated-root constacyclic codes. Recently, a bound for …

In this paper, we provide methods for constructing Hermitian dual-containing (HDC) matrix-
product codes over F _ q^ 2 F q 2 from some non-singular matrices and a special sequence …