A fundamental objective of cryptography is to enable two persons to communicate over an
insecure channel (a public channel such as the internet) in such a way that any other person …

The book introduces new techniques that imply rigorous lower bounds on the com plexity of
some number-theoretic and cryptographic problems. It also establishes certain attractive …

We use the notion of covering sequence, introduced by C. Carlet and Y. Tarannikov, to give
a simple characterization of bent functions. We extend it into a characterization of plateaued …

We investigate the existence of Boolean degree $ d $ functions on the Grassmann graph of
$ k $-spaces in the vector space $\mathbb {F} _q^ n $. For $ d= 1$ several non-existence …

In this paper we derive several important results towards a better understanding of
propagation characteristics of resilient Boolean functions. We first introduce a new upper …

The substitution box (S-box) is the core component of any block cipher that creates
confusion in the ciphertext. This research contributes to creating a substitution box based on …

On the supports of the Walsh transforms of Boolean functions Page 77 Boolean Functions:
Cryptography and Applications Fonctions Booléennes: Cryptographie & Applications BFCA'05 …

We present a method to iteratively construct new bent functions of n+ 2 variables from a bent
function of n variables and its cyclic shift permutations using minterms of n variables and …

In public-key cryptography the discrete logarithm has gained increasing interest as a one-
way function. This paper deals with the particularly interesting case of the discrete logarithm …

In the first half of the paper we give a brief review of plateaued functions, regular functions
and related topics including connections with problems on subgraphs of the Hamming …