Abstract

Block ciphers and hash functions are important cryptographic primitives that are used to secure the exchange of critical information. With the continuous increase in computational power available to attackers, information security systems including their underlying primitives need continuous improvements. Various cryptanalysis methods are used to examine the strength and weakness of hash functions and block ciphers.
In this work, we study the Lesamnta-512 and DHA-256 hash functions and the LAC authenticated encryption scheme. In particular, we study the resistance of the underlying block cipher of the Lesamnta-512 hash function against impossible differential attacks, the resistance of the DHA-256 compression function against collision attacks. We also study MAC forgery attacks against LAC. Throughout our analysis, we use different automated methods to facilitate our analysis.
For the cryptanalysis of Lesamnta-512, two automated methods are studied for finding an impossible differential path with the maximum length. Using the obtained impossible differential path, impossible differential cryptanalysis of Lesamnta-512 is performed for 16 rounds. For the DHA-256 hash function, we used an algebraic method to find collisions for its 17-step reduced compression function by deriving difference equations for each step and then solving them when the conditions for collisions are imposed on these equations.
For LAC, the differential behavior of the different operations of the cipher is represented into a set of linear equations. Then, a Mixed Integer Linear Programming (MILP) approach is used to find a high probability characteristic. This characteristic is then used to perform a forgery attack on LAC encryption authenticated cipher.