Systems of MDS codes from units and idempotents

TL;DR

This paper introduces algebraic methods using units and idempotents to construct systems that generate series of maximum distance separable (MDS) codes, advancing coding theory techniques.

Contribution

It presents a novel algebraic framework for deriving MDS codes from units and idempotents, expanding the toolkit for code construction.

Findings

New algebraic systems for MDS code construction

Framework based on units and idempotents

Potential for generating diverse MDS codes

Abstract

Algebraic systems are constructed from which series of maximum distance separable (mds) codes are derived. The methods use unit and idempotent schemes.