Integral automorphisms of affine spaces over finite fields
Istv\'an Kov\'acs, Klavdija Kutnar, J\'anos Ruff, Tam\'as Sz\H{o}nyi

TL;DR
This paper classifies all integral automorphisms of affine spaces over finite fields for dimensions three and higher, expanding understanding of symmetries preserving integral distances.
Contribution
It completes the classification of integral automorphisms of affine spaces over finite fields for dimensions n ≥ 3.
Findings
Complete classification of integral automorphisms for n ≥ 3
Identification of symmetries preserving integral distances
Extension of previous partial results
Abstract
A permutation of the point set of the affine space is called an integral automorphism if it preserves the integral distance defined among the points. In this paper, we complete the classification of the integral automorphisms of for .
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Taxonomy
TopicsCoding theory and cryptography · Finite Group Theory Research · Cooperative Communication and Network Coding
