In this paper, we discuss some of theory of provable security against differential and linear cryptanalysis. We also review the design principles of the block cipher KASUMI—especially its resistance against the basic forms of linear and differential cryptanalysis.

We give an overview of some of the mathematical results of Dominique de Caen. These include a short proof of König’s theorem, results on Turán numbers, biclique partitions, clique coverings, hypergraphical Steiner systems, p-ranks, stellar permutations, the construction of new distance-regular graphs, large sets of equiangular lines, a bound on the probability of a union, and more.

binary decision diagram (in short bdd) is an efficient data structure which has been used widely in computer science and engineering. bdd-based attack in key stream cryptanalysis is one of the best forms of attack in its category. in this paper, we propose a new key stream attack which is based on zdd(zero-suppressed bdd). we show how a zdd-based key stream attack is more efficient in time and ...

Differential and Linear Cryptanalysis are two most popular techniques that have been widely used to attacks block ciphers to reveal its weakness in substitution and permutation network. Most of the block ciphers which are resistant against Differential and Linear Cryptanalysis may not be immune to their latest extensions such as Impossible Differential Cryptanalysis (IDC) and Zero Correlation L...

We introduce KFC, a block cipher based on a three round Feistel scheme. Each of the three round functions has an SPN-like structure for which we can either compute or bound the advantage of the best d-limited adaptive distinguisher, for any value of d. Using results from the decorrelation theory, we extend these results to the whole KFC construction. To the best of our knowledge, KFC is the fir...

Recent block ciphers have been designed to be resistant against differential cryptanalysis. Nevertheless it has been shown that such resistance claims may not be as accurate as wished due to recent advances in this field. One of the main improvements to differential cryptanalysis is the use of many differentials to reduce the data complexity. In this paper we propose a general model for underst...