E-Polynomials and Terwilliger algebra related to codes
Nur Hamid
TL;DR
This paper explores the structure of Terwilliger algebras and invariant rings associated with codes, providing new insights into algebraic combinatorics and coding theory.
Contribution
It introduces generators of invariant rings related to E-polynomials and analyzes the Terwilliger algebra of specific group association schemes linked to codes.
Findings
Identification of generators of invariant rings via E-polynomials
Analysis of the Terwilliger algebra structure for certain association schemes
Connections established between algebraic structures and coding theory
Abstract
This paper investigates the Terwilliger algebra of some group association schemes related to codes. In addition, it also shows the generators of invariant rings appearing by E-polynomials.
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Taxonomy
TopicsCoding theory and cryptography · Algebraic structures and combinatorial models · Finite Group Theory Research