A generalization of quasi-twisted codes: Multi-twisted codes

A generalization of quasi-twisted codes: Multi-twisted codes

Cyclic codes and their various generalizations, such as quasi-twisted (QT) codes, have a special place in algebraic coding theory. Among other things, many of the best-known or optimal codes have been obtained from these classes. In this work we introduce a new generalization of QT codes that we call multi-twisted (MT) codes and study some of their basic properties. Presenting several methods o...

Constructions of Quasi-Twisted Two-Weight Codes

— A code is said to be two-weight if the non-zero codewords have only two different a weight w 1 and w 2. Two-weight codes are closely related to strongly regular graphs. In this paper. It is shown that a consta-cyclic code of composite length can be put in the quasi-twisted form. Based on this transformation, a new construction method of quasi-twisted (QT) two-weight codes is presented. A larg...

Some new quasi - twisted ternary linear codes ∗

Let [n, k, d]q code be a linear code of length n, dimension k and minimum Hamming distance d over GF (q). One of the basic and most important problems in coding theory is to construct codes with best possible minimum distances. In this paper seven quasi-twisted ternary linear codes are constructed. These codes are new and improve the best known lower bounds on the minimum distance in [6]. 2010 ...

Quantum Twisted Codes

Generalised Twisted Gabidulin Codes

We present a new family of maximum rank distance (MRD) codes. The new class contains codes that are neither equivalent to a generalised Gabidulin nor to a twisted Gabidulin code, the only two known general constructions of linear MRD codes.