Recently Budaghyan et al. (Cryptogr. Commun. 12, 85–100, 2020) introduced a procedure for investigating if CCZ-equivalence can be more general than EA-equivalence together with inverse transformation (when applicable). In this paper, we show that it is possible to use this procedure for classifying, up to EA-equivalence, all known APN functions in dimension 6. We also give some discussion for dimension 7, 8 and 9. In particular, in these cases it is possible to give an upper bound on the EA-classes contained in the CCZ-classes of the known APN functions.

On the EA-classes of known APN functions in small dimensions / Calderini, M.. - In: CRYPTOGRAPHY AND COMMUNICATIONS. - ISSN 1936-2447. - 12:5(2020), pp. 821-840. [10.1007/s12095-020-00427-1]

On the EA-classes of known APN functions in small dimensions

Calderini M.
2020

Abstract

Recently Budaghyan et al. (Cryptogr. Commun. 12, 85–100, 2020) introduced a procedure for investigating if CCZ-equivalence can be more general than EA-equivalence together with inverse transformation (when applicable). In this paper, we show that it is possible to use this procedure for classifying, up to EA-equivalence, all known APN functions in dimension 6. We also give some discussion for dimension 7, 8 and 9. In particular, in these cases it is possible to give an upper bound on the EA-classes contained in the CCZ-classes of the known APN functions.
5
Calderini, M.
On the EA-classes of known APN functions in small dimensions / Calderini, M.. - In: CRYPTOGRAPHY AND COMMUNICATIONS. - ISSN 1936-2447. - 12:5(2020), pp. 821-840. [10.1007/s12095-020-00427-1]
File in questo prodotto:
File Dimensione Formato  
Calderini-2020-Cryptography_and_Communications.pdf

accesso aperto

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Creative commons
Dimensione 444.9 kB
Formato Adobe PDF
444.9 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11572/339493
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 6
social impact