Cyclic codes over the ring Z2[u,v](u2(1+u),v2(1+v2))

TL;DR

This paper explores the structure and properties of linear and cyclic codes over a specific ring Z2[u,v], focusing on their algebraic characteristics and potential applications.

Contribution

It introduces a detailed study of cyclic codes over the ring Z2[u,v], including their algebraic structure and classification, which was not previously well-understood.

Findings

Characterization of linear codes over Z2[u,v]

Description of cyclic codes over Z2[u,v]

Potential applications in coding theory

Abstract

In this paper, we describe linear and cyclic codes over the ring Z2[u,v](u2(1+u),v2(1+v2)).