Asymptotics for the Enumeration of Commuting Matrices over Finite Fields

We give asymptotic expressions for the number of commuting matrices over finite fields. For this, we use product expansions for the corresponding generating functions.

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Publication Details

Journal
Symmetry Integrability and Geometry Methods and Applications
Published
2026-02-19
DOI
https://doi.org/10.3842/sigma.2026.016
Primary Topic
Coding theory and cryptography
Type
article
Field-Weighted Citation Impact
0.00

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article

Asymptotics for the Enumeration of Commuting Matrices over Finite Fields

Bernhard E. Heim, Johann Franke, Shane Chern, Kathrin Bringmann
Symmetry Integrability and Geometry Methods and Applications
Coding theory and cryptography
article

Asymptotics for the Enumeration of Commuting Matrices over Finite Fields

Bernhard E. Heim, Johann Franke, Shane Chern, Kathrin Bringmann
article en

Abstract

We give asymptotic expressions for the number of commuting matrices over finite fields. For this, we use product expansions for the corresponding generating functions.

Symmetry Integrability and Geometry Methods and Applications
European Commission, Austrian Science Fund
Openalex Percentile: Top 100%
Coding theory and cryptography
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