Centralizer algebras of the group associated to ${\mathbb Z}_4$-codes
Masashi Kosuda, Manabu Oura
TL;DR
This paper investigates the structure of a finite group related to Type II Z4-codes and characterizes its centralizer algebras through generators and relations, contributing to algebraic coding theory.
Contribution
It provides a detailed characterization of the finite group associated with Type II Z4-codes and determines the structure of its centralizer algebras.
Findings
Finite group characterized by generators and relations.
Structure of centralizer algebras determined.
Insights into algebraic properties of Z4-codes.
Abstract
The purpose of this paper is to investigate the finite group which appears in the study of the Type II -codes. To be precise, it is characterized in terms of generators and relations, and we determine the structure of the centralizer algebras of the tensor representations of this group.
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Taxonomy
TopicsCoding theory and cryptography · Finite Group Theory Research · graph theory and CDMA systems