Differential-linear cryptanalysis was introduced by Langford and Hellman in 1994 and has been extensively studied since then. In 2019, Bar-On et al. presented the Differential-Linear Connectivity Table (DLCT), which connects the differential part and the linear part, thus an attacked cipher is divided to 3 subciphers: the differential part, the DLCT part, and the linear part. In this paper, we firstly present an accurate mathematical formula which establishes a relation between...

In 1994, Langford and Hellman introduced differential-linear (DL) cryptanalysis, with the idea of decomposing the block cipher E into two parts, EU and EL, such that EU exhibits a high-probability differential trail, while EL has a high-correlation linear trail.Combining these trails forms a distinguisher for E, assuming independence between EU and EL. The dependency between the two parts of DL distinguishers remained unaddressed until EUROCRYPT 2019, where Bar-On et al. introduced the DLCT...

Automatic tools to search for boomerang distinguishers have seen significant advances over the past few years. However, most previous work has focused on ciphers based on a Substitution Permutation Network (SPN), while analyzing the Feistel structure is of great significance. Boukerrou et al. recently provided a theoretical framework to formulate the boomerang switch over multiple Feistel rounds, but they did not provide an automatic tool to find distinguishers. In this paper, by enhancing...

Post-quantum cryptography has attracted much attention from worldwide cryptologists. In ISIT 2010, Kuwakado and Morii gave a quantum distinguisher with polynomial time against 3-round Feistel networks. However, generalized Feistel schemes (GFS) have not been systematically investigated against quantum attacks. In this paper, we study the quantum distinguishers about some generalized Feistel schemes. For $d$-branch Type-1 GFS (CAST256-like Feistel structure), we introduce ($2d-1$)-round...

Linear cryptanalysis of DES, proposed by Matsui in 1993, has had a seminal impact on symmetric-key cryptography, having seen massive research efforts over the past two decades. It has spawned many variants, including multidimensional and zero-correlation linear cryptanalysis. These variants can claim best attacks on several ciphers, including PRESENT, Serpent, and CLEFIA. For DES, none of these variants have improved upon Matsui's original linear cryptanalysis, which has been the best...

Division property is a generalized integral property proposed by Todo at Eurocrypt 2015. Previous tools for automatic searching are mainly based on the Mixed Integer Linear Programming (MILP) method and trace the division property propagation at the bit level. In this paper, we propose automatic tools to detect ARX ciphers' division property at the bit level and some specific ciphers' division property at the word level. For ARX ciphers, we construct the automatic searching tool relying on...

CLEFIA is a block cipher developed by Sony Corporation in 2007. It is a recommended cipher of CRYPTREC, and has been adopted as ISO/IEC international standard in lightweight cryptography. In this paper, some new 9-round zero-correlation linear distinguishers of CLEFIA are constructed with the input masks and output masks being independent, which allow multiple zero-correlation linear attacks on 14/15-rounds CLEAIA-192/256 with the partial sum technique. Furthermore, the relations between...

The key whitening is a technique intended to enhance the strength of a block cipher. Although some research work involves DPA attacks against the key whitening layer in the compact architecture, there are no literatures dedicated in the influence of the key whitening layers in the loop architecture from the standpoint of DPA. In this paper, we propose a practical chosen message power analysis approach against the loop architecture of ciphers with the key whitening layers, thus proving that...

Improved meet-in-the-middle cryptanalysis with efficient tabulation technique has been shown to be a very powerful form of cryptanalysis against SPN block ciphers. However, few literatures show the effectiveness of this cryptanalysis against Balanced-Feistel-Networks (BFN) and Generalized-Feistel-Networks (GFN) ciphers due to the stagger of affected trail and special truncated differential trail. In this paper, we describe a versatile and powerful algorithm for searching the best improved...

Lightweight cryptography is an emerging field that will play a critical role in areas like pervasive computing and Internet of Things (IoT). In recent years, many lightweight ciphers have been designed that are better suited for small scale embedded security. Lightweight ciphers like PRESENT, KLEIN, Hummingbird 2, XTEA, CLEFIA etc. are the ciphers known for compact hardware implementations. Recently SIMON and SPECK ciphers have been introduced which are Feistel based designs. SIMON and SPECK...

Impossible differential cryptanalysis has shown to be a very powerful form of cryptanalysis against block ciphers. These attacks, even if extensively used, remain not fully understood because of their high technicality. Indeed, numerous are the applications where mistakes have been discovered or where the attacks lack optimality. This paper aims in a first step at formalizing and improving this type of attacks and in a second step at applying our work to block ciphers based on the Feistel...

Differential Fault Analysis is a powerful cryptanalytic tool to reveal secret keys of cryptographic algorithms. By corrupting the computation of an algorithm, an attacker gets additional information about the secret key. In 2012, several Differential Fault Analyses on the AES cipher were analyzed from an information-theoretic perspective. This analysis exposed whether or not the leaked information was fully exploited. It revealed if an analysis was already optimal or if it could still be...

The integral attack is one of the most powerful attack against block ciphers. In this paper, we propose two new techniques for the integral attack, the FFT technique and the key concealment technique. The FFT technique is useful for the integral attack with enormous chosen plaintexts. As the previous result using FFT, Collard et al. showed a new technique which reduces the complexity for the linear attack. In this paper, we review the result of Collard et al. to estimate the complexity in...

So far, low probability differentials for the key schedule of block ciphers have been used as a straightforward proof of security against related-key differential attacks. To achieve the resistance, it is believed that for cipher with $k$-bit key it suffices the upper bound on the probability to be $2^{-k}$. Surprisingly, we show that this reasonable assumption is incorrect, and the probability should be (much) lower than $2^{-k}$. Our counter example is a related-key differential analysis...

CLEFIA is a 128-bit block cipher proposed by Sony Corporation in 2007. Our paper introduces a new chosen text attack, the impossible differential-linear attack, on iterated cryptosystems. The attack is efficient for $16$-round CLEFIA with whitening keys. In the paper, we construct a $13$-round impossible differential-linear distinguisher. Based on the distinguisher, we present an effective attack on 16-round CLEFIA-$128$ with data complexity of $2^{122.73}$, recovering $96$-bit subkeys in...

In this paper we propose a new differential fault analysis (DFA) on CLEFIA of 128-bit key. The proposed attack requires to induce byte faults at the fourteenth round of CLEFIA encryption. The attack uses only two pairs of fault-free and faulty ciphertexts and uniquely determines the 128-bit secret key. The attacker does not need to know the plaintext. The most efficient reported fault attack on CLEFIA, needs fault induction at the fifteenth round of encryption and can be performed with two...

Impossible differential cryptanalysis is a powerful technique to recover the secret key of block ciphers by exploiting the fact that in block ciphers specific input and output differences are not compatible. This paper introduces a novel tool to search truncated impossible differentials for word-oriented block ciphers with bijective Sboxes. Our tool generalizes the earlier $\mathcal{U}$-method and the UID-method. It allows to reduce the gap between the best impossible differentials found by...

Estimating immunity against differential and linear cryptanalysis is essential in designing secure block ciphers. A practical measure to achieve it is to find the minimal number of active S-boxes, or a lower bound for this minimal number. In this paper, we provide a general algorithm using integer programming, which not only can estimate a good lower bound of the minimal differential active S-boxes for various block cipher structures, but also provides an efficient way to select new...

Linear cryptanalysis, along with differential cryptanalysis, is an important tool to evaluate the security of block ciphers. This work introduces a novel extension of linear cryptanalysis: zero-correlation linear cryptanalysis, a technique applicable to many block cipher constructions. It is based on linear approximations with a correlation value of exactly zero. For a permutation on $n$ bits, an algorithm of complexity $2^{n-1}$ is proposed for the exact evaluation of correlation....

In this paper we present a new statistical cryptanalytic technique that we call improbable differential cryptanalysis which uses a differential that is less probable when the correct key is used. We provide data complexity estimates for this kind of attacks and we also show a method to expand impossible differentials to improbable differentials. By using this expansion method, we cryptanalyze 13, 14, and 15-round CLEFIA for the key sizes of length 128, 192, and 256 bits, respectively. These...

This paper examines the strength of CLEFIA against multiple bytes differential fault attack. Firstly, it presents the principle of CLEFIA algorithm and differential fault analysis; then, according to injecting faults into the rth,r-1th,r-2th CLEFIA round three conditions, proposes three fault models and corresponding analysis methods; finally, all of the fault model and analysis methods above have been verified through software simulation. Experiment results demonstrate that: CLEFIA is...

The 128-bit block cipher TWIS was proposed by Ojha et al in 2009. It is a lightweight block cipher and its design is inspired from CLEFIA. In this paper, we first study the properties of TWIS structure, and as an extension we also considered the generalized TWIS-type structure which can be called G-TWIS cipher, where the block size and round number can be arbitrary values. Then we present a series of 10-round differential distinguishers for TWIS and a n-round differential distinguisher for...

This paper presents an improved Cache trace attack on AES and CLEFIA by considering Cache miss trace information and S-box misalignment. In 2006, O. Acıiçmez et al. present a trace driven Cache attack on AES first two rounds, and point out that if the Cache element number of the Cache block is 16, at most 48-bit of AES key can be obtained in the first round attack. Their attack is based on the ideal case when S-box elements are perfected aligned in the Cache block. However, this paper...

The paper presents a differential cache trace attack against CLEFIA, a $128$ bit block cipher designed by Sony Corporation. The attack shows that such ciphers based on the generalized Feistel structures leak information of the secret key if the cache trace pattern is revealed to an adversary. The attack that we propose is a three staged attack and reveals the entire key with $2^{43}$ CLEFIA encryptions. The attack is simulated on an Intel Core 2 Duo Processor with a cache architecture with...

This paper mainly discussed the impossible differerential crypt- analysis on CLEFIA which was proposed in FSE2007. New 9-round impossible differentials which are difrererent from the previous ones are discovered. Then these differerences are applied to the attack of reduced-CLEFIA. For 128-bit case, it is possible to apply an impossible differen-tial attack to 12-round CLEFIA which requires 2^110.93 chosen plaintexts and the time complexity is 2^111. For 192/256-bit cases, it is possible to...

This paper presents an improved impossible differential attack on the new block cipher CLEFIA which is proposed by Sony Corporation at FSE 2007. Combining some observations with new tricks, we can filter out the wrong keys more efficiently, and improve the impossible differential attack on 11-round CLEFIA-192/256, which also firstly works for CLEFIA-128. The complexity is about $2^{103.1}$ encryptions and $2^{103.1}$ chosen plaintexts. By putting more constraint conditions on plaintext...