Perfect Codes for Generalized Deletions from Minuscule Elements of Weyl Groups

TL;DR

This paper explores the relationship between insertion/deletion codes and minuscule elements of Weyl groups, providing new insights into coding theory through algebraic structures.

Contribution

It establishes a novel connection between ID codes and minuscule Weyl group elements, advancing the theoretical understanding of code construction.

Findings

Identifies a correspondence between ID codes and minuscule Weyl group elements

Provides a framework for constructing perfect codes using algebraic structures

Enhances the theoretical foundation of deletion-correcting codes

Abstract

This paper discusses a connection between insertion/deletion (ID) codes and minuscule elements of Weyl groups.