Integral automorphisms of affine spaces over finite fields

István Kovács, Klavdija Kutnar, János Ruff, Tamás Szőnyi

Research output: Contribution to journalArticle


A permutation of the point set of the affine space AG (n, q) 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 AG (n, q) for n≥ 3.

Original languageEnglish
Pages (from-to)181-188
Number of pages8
JournalDesigns, Codes, and Cryptography
Issue number1-2
Publication statusPublished - Jul 1 2017


  • Affine space
  • Finite field
  • Integral automorphism

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics

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