A Note on "Differential Properties of x \mapsto x^-1}"

A Note on "Differential Properties of x \mapsto x^-1}"

Blondeau and colleagues recently conjectured a characterization of when x 2t-1 is an almost perfect nonlinear function on F 2 n . In this paper, we will prove the conjecture when n is even. The short proof uses a theorem of Hou and colleagues concerning reversed Dickson polynomials and a theorem of...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on information theory 2012-11, Vol.58 (11), p.6986-6988
1. Verfasser: Gologlu, F.
Format: Artikel
Sprache:eng
Schlagworte:
APN function
Correlation
Cryptography
Dickson polynomial
Galois fields
Gold
Materials
permutation polynomial
Polynomials
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Blondeau and colleagues recently conjectured a characterization of when x 2t-1 is an almost perfect nonlinear function on F 2 n . In this paper, we will prove the conjecture when n is even. The short proof uses a theorem of Hou and colleagues concerning reversed Dickson polynomials and a theorem of Payne.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2012.2208447