In this chapter we treat difference propagation and input-output correlation in Boolean mappings and iterated Boolean transformations. Difference propagation is specifically exploited in differential cryptanalysis (DC), invented by Eli Biham and Adi Shamir [BiSh91]. Input-output correlation is exploited in linear cryptanalysis (LC), invented by Mitsuru Matsui [Ma93]. Both DC and LC were success...

In this paper we propose a novel cryptanalytic method against multivariate schemes, which adapts differential cryptanalysis to this setting. In multivariate quadratic systems, the differential of the public key is a linear map and has invariants such as the dimension of the kernel. Using linear algebra, the study of this invariant can be used to gain information on the secret key. We successful...

In this paper, we consider the statistical decision processes behind a linear and a differential cryptanalysis. By applying techniques and concepts of statistical hypothesis testing, we describe precisely the shape of optimal linear and differential distinguishers and we improve known results of Vaudenay concerning their asymptotic behaviour. Furthermore, we formalize the concept of “sequential...

Subspace trail cryptanalysis is a very recent new cryptanalysis technique, and includes differential, truncated differential, impossible differential, and integral attacks as special cases. In this paper, we consider PRINCE, a widely analyzed block cipher proposed in 2012. After the identification of a 2.5 rounds subspace trail of PRINCE, we present several (truncated differential) attacks up t...

In this paper we give a short overview of the state of the art of secret key block ciphers. We focus on the main application of block ciphers, namely for encryption. The most important known attacks on block ciphers are linear cryptanalysis and differential cryptanalysis. Linear cryptanalysis makes use of so-called linear hulls i.e., the parity of a subset of plaintext bits which after a certai...

SHA-3 Cryptographic Hash Algorithm Competition is a competition raised by NIST in response to recent advances of cryptanalysis, aiming at selecting new hash algorithm instead of SHA-2 like AES selection. The compression function of a hash function could be written in the form of multivariate boolean function. In this paper, we introduce our algorithms of evaluating boolean function and applied ...

MISTY and the Design Intent Behind it MISTY is the family name for two 64-bit blockcipher algorithms, MISTY1 and MISTY2, that have 128-bit keys, designed by the corporation with detailed specifications announced in academic conferences in 1996 and 1997.[1] [2] In terms of security, MISTY has the major benefit of “provable security,” in which the security is proven mathematically against differe...

We present a birthday attack against DES. It is entirely based on the relationship Li+1 = Ri and the simple key schedule in DES. It requires about 2 ciphertexts of the same R16, encrypted by the same key K. We conjecture it has a computational complexity of 2. Since the requirement for the birthday attack is more accessible than that for Differential cryptanalysis, Linear cryptanalysis or Davie...

We give a survey of recent applications of group rings to combinatorics and to cryptography, including their use in the differential cryptanalysis of block ciphers.

In this paper presents the Linear Cryptanalysis on S-DES and Symmetric Block Ciphers Using Hill Cipher Method. As a vehicle of demonstration of this concept, choose simple yet representative block ciphers such as computationally tractable versions of S-DES, for the studies. The attack presented in this paper is applicable to block structure independently of the key scheduling. The attack needs ...