Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …

Linear complementary dual codes are linear codes that intersect with their dual trivially.
Quasi-cyclic codes that are complementary dual are characterized and studied by using …

Generalized quasi-cyclic (GQC) codes form a natural generalization of quasi-cyclic (QC)
codes. They are viewed here as mixed alphabet codes over a family of ring alphabets …

In this paper, we introduce Toeplitz codes of index t, which are a generalization of quasi-
cyclic codes of index t. We show that such codes meet the asymptotic Gilbert-Varshamov …

An index ℓ, length m ℓ quasi-cyclic code can be viewed as a cyclic code of length m over the
field F q ℓ via a basis of the extension F q ℓ∕ F q. However, this cyclic code is only linear …

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 …

In this work, our main objective is to construct quantum codes from quasi-twisted (QT) codes.
At first, a necessary and sufficient condition for Hermitian self-orthogonality of QT codes is …

In this paper, an application of the theoretical algebraic notion of a separable ring extension
in the realm of cyclic convolutional codes or, more generally, ideal codes, is investigated. It …

Abstract Quasi-2-dimensional cyclic (Q2DC) codes over finite fields are important linear
codes. They are asymptotically good, and have deep connection with convolutional codes …

We introduce multidimensional analogues of quasi-cyclic (QC) codes and study their
algebraic structure. We demonstrate a concatenated structure for multidimensional QC …