Improved Meet-in-the-Middle Attacks on Round-Reduced Crypton-256

The meet-in-the-middle (MITM) attack has prove to be efficient in analyzing the AES block cipher. Its efficiency has been increasing with the introduction of various techniques such as differential enumeration, key-dependent sieve, super-box etc. The recent MITM attack given by Li and Jin has successfully mounted to 10-round AES-256. Crypton is an AES-like block cipher. In this paper, we apply the MITM method to the cryptanalysis of Crypton-256. Following Li and Jin\u27s idea, we give the first 6-round distinguisher for Crypton. Based on the distinguisher as well as the properties of Crypton\u27s simple key schedule, we successfully launch MITM attacks on Crypton-256 reduced to 9 and 10 rounds. For 9-round Crypton-256, our MITM attack can recover the 256-bit key with a time complexity $2^{173.05}$, a memory complexity $2^{241.17}$. For the 10-round version, we give two MITM attacks. The basic attack requires a time complexity $2^{240.01}$ and memory complexity $2^{241.59}$. The time/memory complexity of the advanced MITM attack on 10-round Crypton is $2^{245.05}/2^{209.59}$. Our MITM attacks share the same data complexity $2^{113}$ and their error rates are negligible

Design and Analysis of Cryptographic Hash Functions

Wydział Matematyki i InformatykiKryptograficzne funkcje haszujące stanowią element składowy wielu algorytmów kryptograficznych. Przykładowymi zastosowaniami kryptograficznych funkcji haszujących są podpisy cyfrowe oraz kody uwierzytelniania wiadomości. Ich własności kryptograficzne mają znaczący wpływ na poziom bezpieczeństwa systemów kryptograficznych wykorzystujących haszowanie. W dysertacji analizowane są kryptograficzne funkcje haszujące oraz omówione główne zasady tworzenia bezpiecznych kryptograficznych funkcji haszujących. Analizujemy bezpieczeństwo dedykowanych funkcji haszujących (BMW, Shabal, SIMD, BLAKE2, Skein) oraz funkcji haszujących zbudowanych z szyfrów blokowych (Crypton, Hierocrypt-3, IDEA, SAFER++, Square). Głównymi metodami kryptoanalizy użytymi są skrócona analiza różnicowa, analiza rotacyjna i przesuwna. Uzyskane wyniki pokazują słabości analizowanych konstrukcji.Cryptographic Hash Functions (CHFs) are building blocks of many cryptographic algorithms. For instance, they are indispensable tools for efficient digital signature and authentication tags. Their security properties have tremendous impact on the security level of systems, which use cryptographic hashing. This thesis analyzes CHFs and studies the design principles for construction of secure and efficient CHFs. The dissertation investigates security of both dedicated hash functions (BMW, Shabal, SIMD, BLAKE2, Skein) and hash functions based on block ciphers (Crypton, Hierocrypt-3, IDEA, SAFER++, Square). The main cryptographic tools applied are truncated differentials, rotational and shift analysis. The findings show weaknesses in the designs

A General Proof Framework for Recent AES Distinguishers

In this paper, a new framework is developed for proving and adapting the recently proposed multiple-of-8 property and mixture-differential distinguishers. The above properties are formulated as immediate consequences of an equivalence relation on the input pairs, under which the difference at the output of the round function is invariant. This approach provides a further understanding of these newly developed distinguishers. For example, it clearly shows that the branch number of the linear layer does not influence the validity of the property, on the contrary of what was previously believed. We further provide an extension of the mixture-differential distinguishers and multiple-of-8 property to any SPN and to a larger class of subspaces. These adapted properties can then be exhibited in a systematic way for other ciphers than the AES. We illustrate this with the examples of Midori, Klein, LED and Skinny

Tuple Cryptanalysis: Slicing and Fusing Multisets

International audienceIn this paper, we revisit the notions of Square, saturation, integrals, multisets, bit patterns and tuples, and propose a new Slice & Fuse paradigm to better exploit multiset type properties of block ciphers, as well as relations between multisets and constituent bitslice tuples. With this refined analysis, we are able to improve the best bounds proposed in such contexts against the following block ciphers: Threefish, Prince, Present and Rectangle

Overview of attacks on AES-128: to the 15th anniversary of AES

Представлен обзор работ, опубликованных до 2016 г. и посвящённых криптоанализу алгоритма AES-128 (Advanced Encryption Standard). Перечислены основные криптографические методы, используемые при анализе AES. Приведены сложностные характеристики 88 атак на редуцированные варианты алгоритма AES-128. Указано необходимое для проведения атак количество известных пар шифрованных и открытых текстов с условиями на них. В поле зрения не попали атаки по побочным каналам и атаки с ограничением на используемые ключи

Multi-operation data encryption mechanism using dynamic data blocking and randomized substitution

Existing cryptosystems deal with static design features such as fixed sized data blocks, static substitution and apply identical set of known encryption operations in each encryption round. Fixed sized blocks associate several issues such as ineffective permutations, padding issues, deterministic brute force strength and known-length of bits which support the cracker in formulating of modern cryptanalysis. Existing static substitution policies are either not optimally fit for dynamic sized data blocks or contain known S-box transformation and fixed lookup tables. Moreover, static substitution does not directly correlate with secret key due to which it has not been shown safer especially for Advanced Encryption Standard (AES) and Data Encryption Standard (DES). Presently, entire cryptosystems encrypt each data block with identical set of known operations in each iteration, thereby lacked to offer dynamic selection of encryption operation. These discussed, static design features are fully known to the cracker, therefore caused the practical cracking of DES and undesirable security pitfalls against AES as witnessed in earlier studies. Various studies have reported the mathematical cryptanalysis of AES up to full of its 14 rounds. Thus, this situation completely demands the proposal of dynamic design features in symmetric cryptosystems. Firstly, as a substitute to fixed sized data blocks, the Dynamic Data Blocking Mechanism (DDBM) has been proposed to provide the facility of dynamic sized data blocks. Secondly, as an alternative of static substitution approach, a Randomized Substitution Mechanism (RSM) has been proposed which can randomly modify session-keys and plaintext blocks. Finally, Multi-operation Data Encryption Mechanism (MoDEM) has been proposed to tackle the issue of static and identical set of known encryption operations on each data block in each round. With MoDEM, the encryption operation can dynamically be selected against the desired data block from the list of multiple operations bundled with several sub-operations. The methods or operations such as exclusive-OR, 8-bit permutation, random substitution, cyclic-shift and logical operations are used. Results show that DDBM can provide dynamic sized data blocks comparatively to existing approaches. Both RSM and MoDEM fulfill dynamicity and randomness properties as tested and validated under recommended statistical analysis with standard tool. The proposed method not only contains randomness and avalanche properties but it also has passed recommended statistical tests within five encryption rounds (significant than existing). Moreover, mathematical testing shows that common security attacks are not applicable on MoDEM and brute force attack is significantly resistive

A Meet-in-the-Middle Attack on Round-Reduced mCrypton Using the Differential Enumeration Technique

This paper describes a meet-in-the-middle (MITM) attack against the round reduced versions of the block cipher mCrypton-64/96/128. We construct a 4-round distinguisher and lower the memory requirement from $2^{100}$ to $2^{44}$ using the differential enumeration technique. Based on the distinguisher, we launch a MITM attack on 7-round mCrypton-64/96/128 with complexities of $2^{44}$ 64-bit blocks and $2^{57}$ encryptions. Then we extend the basic attack to 8 rounds for mCrypton-128 by adding some key-bridging techniques. The 8-round attack on mCrypton-128 requires a time complexity $2^{100}$ and a memory complexity $2^{44}$. Furthermore, we construct a 5-round distinguisher and propose a MITM attack on 9-round mCrypton-128 with a time complexity of $2^{115}$ encryptions and a memory complexity of $2^{113}$ 64-bit blocks