2-D Skew Constacyclic Codes Over $R[x,y,\rho,\theta]$

TL;DR

This paper characterizes a specific ring structure and investigates 2-D skew constacyclic codes over it, contributing to the algebraic understanding of these codes for potential applications in coding theory.

Contribution

It introduces new characterizations of the ring R[x,y,ρ,θ] and explores properties of 2-D skew constacyclic codes over this ring, advancing algebraic coding theory.

Findings

Characterization of the ring R[x,y,ρ,θ]

Analysis of 2-D skew (λ₁,λ₂)-constacyclic codes

Foundational results for algebraic coding applications

Abstract

In this paper, we give some characterizations of the ring $R[x,y,\rho,\theta]$ where R is a commutative ring. We investigate 2-D skew $(\lambda_1,\lambda_2)$-constacyclic codes.