Quasi-twisted codes are generalizations of the familiar linear quasi-cyclic codes. In this
paper, an algebraic method is used to investigate the relationship between quasi-twisted …

Quasi-twisted codes of fixed index> 1 have been shown recently to be asymptotically good
(A. Alahmadi, C. Güneri, H. Shoaib, P. Solé, 2017). We use this result to construct …

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 …

For a simple-root λ-constacyclic code C over F q, let< ρ> and< ρ, M> be the subgroups of the
automorphism group of C generated by the cyclic shift ρ, and by the cyclic shift ρ and the …

In this paper, we introduce a new class of additive codes over finite fields, viz. multi-twisted
(MT) additive codes, which are generalizations of constacyclic additive codes. We study their …

Let F q be a finite field and t be a positive integer. We first generalize the construction of
algebraic-geometric codes to the setting of F q-linear F q t-codes. Then we show that such …

For any simple-root constacyclic code $\mathcal {C} $ over a finite field $\mathbb {F} _q $, as
far as we know, the group $\mathcal {G} $ generated by the multiplier, the constacyclic shift …

Multi-twisted (MT) additive codes over finite fields constitute a special class of additive codes
and are generalizations of cyclic additive codes. In this paper, we study a class of 1 …

In this paper, we introduce and study a new class of additive codes over finite fields, viz.
additive quasi-abelian (QA) codes, which is an extension of (linear) quasi-abelian codes …

An additive code is an $\mathbb {F} _q $-linear subspace of $\mathbb {F} _ {q^ m}^ n $ over
$\mathbb {F} _ {q^ m} $, which is not a linear subspace over $\mathbb {F} _ {q^ m} $. Linear …