A perfect nonlinear S-box is a substitution transformation with evenly distributed directional
derivatives. Since the method of differential cryptanalysis presented by E. Biham and A …

The security of DES-like cryptosystems depends heavily on the strength of the Substitution
boxes (S-boxes) used. The design of new S-boxes is therefore an important concern in the …

This book covers novel research on construction and analysis of optimal cryptographic
functions such as almost perfect nonlinear (APN), almost bent (AB), planar and bent …

A general explicit construction of bent functions is described, which unifies well known
constructions due to Maiorana-McFarland and Dillon as two opposite extremal cases. Within …

Block ciphers use substitution boxes (S-boxes) whose aim is to create confusion into the
cryptosystems. Functions used as S-boxes should have low differential uniformity, high …

Linear cryptanalysis, introduced last year by Matsui, will most certainly open-up the way to
new attack methods which may be made more efficient when compared or combined with …

While there is evidence that large substitution boxes (S-boxes) have better cryptographic
properties than small S-boxes, they are much harder to design. The difficulty arises from the …

Almost bent functions oppose an optimum resistance to linear and differential cryptanalysis.
We present basic properties of almost bent functions; particularly we give an upper bound …

Nonlinearity criteria for Boolean functions are classified in view of their suitability for
cryptographic design. The classification is set up in terms of the largest transformation group …

Three of the most important criteria for cryptographically strong Boolean functions are the
balancedness, the nonlinearity and the propagation criterion. This paper studies systematic …