The ℓ ℓ-Galois hull h_ ℓ (C) h ℓ (C) of an n, k linear code C over the finite field F _q F q is the
intersection of C and C^\bot _ ℓ C⊥ ℓ, where C^\bot _ ℓ C⊥ ℓ denotes the ℓ ℓ-Galois dual of …

Let SLAut (F qn) denote the group of all semilinear isometries on F qn, where q= pe is a
prime power. In this paper, we investigate some general properties of linear codes …

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 …

Abstract Properties of matrix product codes over finite commutative Frobenius rings are
investigated. The minimum distance of matrix product codes constructed with several types …

Stabilizer codes obtained via the CSS code construction and the Steane's enlargement of
subfield-subcodes and matrix-product codes coming from generalized Reed–Muller …

Matrix-product (MP) codes are a type of long codes formed by combining several
commensurate constituent codes with a defining matrix. In this paper, we study the MP code …

The study of entanglement-assisted quantum error-correcting codes (EAQECCs) is currently
a hot topic in coding theory and quantum information theory. As far as we know, there are …

For any prime number p, positive integers m, k, n, where n satisfies gcd (p, n)= 1, and for any
non-zero element λ 0 of the finite field F pm of cardinality pm, we prove that any λ 0 p k …

We derive a general lower bound for the generalized Hamming weights of nested matrix-
product codes, with a particular emphasis on the cases with two and three constituent codes …

In this paper, we provide a method to construct quantum codes from matrix-product codes
which the constituent codes have no restrictions. Then, we construct several classes of …