Title :
A Note on “Differential Properties of $x \mapsto x^{2^{t}-1}$”
Author_Institution :
Claude Shannon Institute, University College Dublin, Dublin, Ireland
Abstract :
Blondeau and colleagues recently conjectured a characterization of when x2t-1 is an almost perfect nonlinear function on F2n. 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.
Keywords :
"Polynomials","Gold","Materials","Cryptography","Galois fields","Correlation"
Journal_Title :
IEEE Transactions on Information Theory
DOI :
10.1109/TIT.2012.2208447
