cryptanalytic attack using related key

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Cryptanalytic Attacks on IDEA Block Cipher

Cryptanalytic Attacks on IDEA Block Cipher

3.1.9 Schneier 21 , et al. in their attack on IDEA exploited its key schedule since key schedule of IDEA is quite simple, sub keys are calculated by simply circularly shifting the original key 25 times in key scheduling algorithm. For 3-round IDEA, authors proposed a chosen key differential attack; it recovers 32 bits of key with 6 chosen plaintexts (PT). Out of these 6 PT, two are used with first key and the remaining four with the second key. In order to recover another 64 bits of key it needs 2 17 chosen PT under third key. Rest of the 32 bits is recovered using brute forcedly trying all 2 32 , choices. Schneier, et al. also proposed other variant of attack which is applicable on non reduced round IDEA with COA timing attack model. This attack enquires about 5x 2 17 , related keys and it encrypts 10, 48,576 (2 20 ) random chosen unknown PT blocks with these related keys. But, the difficult part of this attack is to accurately measure the timings of these encryptions.
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A cryptanalytic attack of simplified-AES using ant colony optimization

A cryptanalytic attack of simplified-AES using ant colony optimization

Generally, the performances of any evolutionary computation algorithm are closely related to the parameters values. Therefore, one of the main challenge is to find the optimal parameters setting allowing to improve efficiency of our algorithm. The values of parameters assumed in this paper such as α, β (weight of pheromone and heuristic value), N (Number of Ants), C (Number of Cycle), ‘Q’ and σ were fine-tuned by a combination of several experiments in order to optimize the cryptanalysis process. The default value of the parameters was α=1, β=1, Q=2, 𝜎=0.97 and 𝜏 0 = 5. We have implemented our algorithm with C++ language. 5.1. Key space analysis
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Generic  related-key   and  induced  chosen  IV  attacks  using  the  method  of  key  differentiation

Generic related-key and induced chosen IV attacks using the method of key differentiation

Related-key and chosen IV attacks are well known cryptanalytic tools in crypt- analysis of stream ciphers. Though the related-key model is considered to be much more unrealistic scenario than the chosen IV model we show that under certain cir- cumstances the attack assumptions may become equivalent. We show that the key differentiation method induces a generic attack in a related-key model whose time com- plexity in the on-line phase is less than the exhaustive key search. The case of formal equivalency between the two scenarios arises when so-called differentiable polynomials with respect to some subset of key variables are a part of the state bit expressions (from which the output keystream bits are built). Then the differentiation over a key cube has the same effect as the differentiation over the corresponding IV cube, so that a generic nature of a related-key model is transferred into a more practical chosen IV model. The existence of such polynomials is confirmed for the reduced round stream cipher TRIVIUM up to some 710 rounds and an algorithm for their detection is pro- posed. The key differentiation method induces a time/related-key trade-off (TRKTO) attack which (assuming the existence of differentiable polynomials) can be run in a chosen IV model. The resulting trade-off curve of our TMDTO attack is given by T 2 M 2 D 2 = (KV ) 2 (V denoting the IV space), which is a significant improvement
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Related-Key  Impossible-Differential  Attack  on  Reduced-Round  SKINNY

Related-Key Impossible-Differential Attack on Reduced-Round SKINNY

Impossible-differential attacks were introduced independently by Biham et al. [4] and Knudsen [6]. They are widely used as an important cryptanalytic technique. The attack starts with finding an input difference that can never result in an output difference, which makes up an impossible differential. By adding rounds before and/or after the impossible differential, one can collect pairs with certain plaintext and ciphertext differences. If there exists a pair that meets the input and output values of the impossible differential under some subkey, these subkeys must be wrong. In this way, we can filter as many wrong keys as possible and exhaustively search the rest of the keys.
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A  Polynomial-Time  Key-Recovery  Attack  on  MQQ  Cryptosystems

A Polynomial-Time Key-Recovery Attack on MQQ Cryptosystems

Multivariate quadratic (MQ) public key schemes are cryptosystems based on the NP-hard problem of solving polynomial systems of quadratic equations over finite fields, also known as the MQ-problem. Until the mid 2000’s, MQ cryptography was developing very rapidly, producing many interesting and versatile design ideas such as C ∗ [1], HFE [2], SFLASH [3], UOV [4], TTM [5], TTS [6]. However, many of them were soon successfully cryptanalysed, and the biggest surprise was probably the break of SFLASH in 2007 [7], shortly after it was chosen by the NESSIE European Consortium [8] as one of the three recommended public key signature schemes. As a consequence, the confidence in MQ cryptosystems declined, and as a result, did the research in this area as well.
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Conditional beam-splitting attack on quantum key distribution

Conditional beam-splitting attack on quantum key distribution

In a quantum optical implementation, the sender (Al- ice) encodes a random bit value “0” and “1” in the orthogonal polarization states of a single photon. She chooses at random either a linear or a circular polariza- tion basis. The receiver (Bob) uses a polarization bases chosen at random from these two bases. In the follow- ing classical communication, Alice and Bob identify those signals for which they used the same basis, and the cor- responding bit values form the sifted key. Either due to noise or due to eavesdropping, Alice’s and Bob’s version of the sifted key differ. As long as the error rate is be- low some threshold, they can correct these errors and perform privacy amplification [5] to obtain a secure key. The theoretical security analysis of this scheme has been a subject of intense research and only recently a full proof of security for the whole protocol has been given [6–9].
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Detection and Prevention of Black Hole Attack In Ad Hoc Network Using Cryptographic (Key Exchange) Techniques

Detection and Prevention of Black Hole Attack In Ad Hoc Network Using Cryptographic (Key Exchange) Techniques

Mobile ad hoc network is a self-governing system, where nodes or stations are connected with each other through wireless links. There is no limit on the nodes to join or depart the network, therefore the nodes join or left freely. Mobile ad hoc network has dynamic topology that can change promptly because the nodes move freely and can arrange themselves randomly. This property of the nodes makes the mobile ad hoc networks unpredictable from the point of view of scalability and topology decentralized wireless systems. MANET consists of mobile nodes that are free in moving in and out in the network. Nodes can be a device or host i.e. mobile phone, laptop, personal, MP3 player and personal computer that are participating in the network and are mobile. These nodes can act as host or router or both at same time. They can form illogical topologies depending on their connectivity with each other in the network. These nodes have the facility to configure themselves and because of their self configuration ability, they can be deployed urgently without the need of any infrastructure. Security in Mobile Ad Hoc Network is the most important concern for the basic functionality of network. Accessibility of network services, privacy and integrity of the data can be achieved by assuring that security issues have been met. MANET often endure from security attacks because of its nature like medium changing its topology dynamically, MANET work without any centralized medium there is no base station required. In MANET node can communicates with each other on the base of mutual trust. This characteristics makes the MANET more exposed to be exploited by an attacker from inside the network. Wireless links also makes the MANET more liable to attacks which make it easy for the attacker to go inside the network and can easily access to the ongoing communication Mobile nodes present within the range of wireless link can overhear and even participate in the network. MANET must have a secure way for transmission of data and communication and this is quite demanding and impetrative issue as there is increasing threats of attack on the Mobile Network. Security is the most important issue of the day. In order to provide secure communication and data transmission engineer must understand different types of attacks and their effects on the MANETs. Wormhole attack, Black hole attack, flooding attack, routing table overflow attack, Denial of Service selfish node, impersonation attack are kind of attacks that a MANET can suffer from. MANET is more open to these kinds of attacks because communication is based on mutual trust between the nodes, there is no central point for network management, any authorization facility, and vigorously changing topology
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Key Node Oriented Black Hole Attack and Detection

Key Node Oriented Black Hole Attack and Detection

This paper uses the detection method of the key node oriented black hole attack based on neighbor node behaviors. That is recognize the key node at first, then let key node maintain a continuous counter of the number of continual packet loss for each neighbor nodes, and monitoring how its neighbor nodes process those received package. If a node was monitored that it dropped a data packet, the relevant counter of the node will plus one. If a counter relevant one node reached the threshold, the node will be reported as black hole. If a node transmitted a packet as usual before its counter reached threshold, reset the counter. The procedure of the detection of key node oriented black hole attack is as follows.
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ANALYZING CRYPTANALYTIC TECHNIQUES OF BLOCK CIPHERS FOR SYMMETRIC ENCRYPTION

ANALYZING CRYPTANALYTIC TECHNIQUES OF BLOCK CIPHERS FOR SYMMETRIC ENCRYPTION

There is a lot of research going on the cryptanalysis techniques. Many authors have suggested different cryptanalytic techniques for Symmetric and Asymmetric Encryptions but this paper discusses the Cryptanalytic techniques of Block Ciphers for Symmetric Encryption. This research work is being carried out after a thorough review on primary cryptanalytic techniques that are done on Block Ciphers such as Differential Cryptanalysis, Linear Cryptanalysis, the exploitation of weak keys and Algebraic attacks. A Smart card can be viewed as an intelligent data carrier which can store data like PINS, sensitive personal data and private keys in a secured manner and ensure data security during transactions but smart card industry is facing a lot many problems which is addressed in this work. The security issues are one major area of hindrance in smart card development and the level of threat imposed by malicious attacks on the integrated software is of high concern today. So SAFER++ proposed in this research work will be a very good solution for the problems faced by the smart cards industry.
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From  Related-Key  Distinguishers  to  Related-Key-Recovery  on  Even-Mansour  Constructions

From Related-Key Distinguishers to Related-Key-Recovery on Even-Mansour Constructions

Remark. If the padding of the nonce in Prøst-OTR were done on the most significant bits, no attack similar to Step 2 could recover the corresponding key bits: the modular addition is a triangular function (meaning that the result of a + b on a bit i only depends on the value of bits of position less than i in a and b), and therefore no XOR in the nonce in the less significant bits could control modular differences introduced in the padding in the more significant bits. An attack in that case would thus most likely be applicable to general ciphers when using only the φ + class, and it is proven that no such attack is efficient. However, one could always imagine using a related-key class using an addition operation reading the bits in reverse. While admittedly unorthodox, this would not result in a stronger model than using φ + , strictly speaking.
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Quantum  Key-recovery  Attack  on  Feistel  Structures

Quantum Key-recovery Attack on Feistel Structures

In this study, we considered the first quantum key-recovery attack against Feistel structures. Inspired by Leander and May’s works, we combined Grover’s and Simon’s algorithms to construct the attack. Our attacks required 2 nr/4−3n/4 quantum queries. When compared with the quantum brute-force search, the time complexity is reduced by a factor of 2 0.75n . When compared with the best classical attacks, the time

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A  Key-recovery  Attack  on 855-round  Trivium

A Key-recovery Attack on 855-round Trivium

Most symmetric cryptographic primitives can be described by boolean functions over secret variables and public variables. The secret variables are often key bits, the public variables are often plaintext bits for block ciphers and IV bits for stream ciphers. The ANF (algebraic normal form) representation of the output is usually very complex by repeatedly executing a simple iterative function, where the iterative function is a round function for block ciphers or a feedback function for stream ciphers based on nonlinear feedback shift registers. For stream ciphers, obtaining the exact output boolean functions is usually impossible. But if its degree is low, the cipher can not resist on many known attacks, such as higher order differential attacks [15,13], cube attacks [1,4], and integral attacks [14]. Hence, it is important to reduce the degree of polynomials for cryptanalysis of stream ciphers.
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A  Comparison  of  Perfect  Table  Cryptanalytic  Tradeoff  Algorithms

A Comparison of Perfect Table Cryptanalytic Tradeoff Algorithms

Let us mention one more issue that is not necessarily specific to the perfect rainbow tradeoff, but is closely related to this work. The work [2] claimed that each entry in the pre-computation table for the DP tradeoff can be represented by half the number of bits required for the rainbow tradeoff, but their explanation was rather brief. They followed this claim with a short argument stating that, if the effects of false alarms were to be ignored, one must conclude that the DP tradeoff is twice as efficient as the rainbow tradeoff. An attempt to refute this was made by [1], which maintained that the claim of [2] concerning the required storage bits per table entry was incorrect. With neither [2] nor [1] providing any detail, the work [11] clarified that, in the case of non-perfect tradeoffs, the storage requirement comparison of [2] was correct, but that the rainbow tradeoff may still be seen as being advantageous over the DP tradeoff in typical environments. However, the case of the perfect tradeoffs was left untreated.
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Efficient  Dissection  of  Bicomposite  Problems  with  Cryptanalytic  Applications

Efficient Dissection of Bicomposite Problems with Cryptanalytic Applications

Abstract. In this paper we show that a large class of diverse prob- lems have a bicomposite structure which makes it possible to solve them with a new type of algorithm called dissection, which has much better time/memory tradeoffs than previously known algorithms. A typical ex- ample is the problem of finding the key of multiple encryption schemes with r independent n-bit keys. All the previous error-free attacks re- quired time T and memory M satisfying T M = 2 rn , and even if “false negatives” are allowed, no attack could achieve T M < 2 3rn/4 . Our new technique yields the first algorithm which never errs and finds all the possible keys with a smaller product of T M, such as T = 2 4n time and M = 2 n memory for breaking the sequential execution of r=7 block ci- phers. The improvement ratio we obtain increases in an unbounded way as r increases, and if we allow algorithms which can sometimes miss solutions, we can get even better tradeoffs by combining our dissection technique with parallel collision search. To demonstrate the generality of the new dissection technique, we show how to use it in a generic way in order to improve rebound attacks on hash functions and to solve with better time complexities (for small memory complexities) hard combina- torial search problems, such as the well known knapsack problem.
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Some  Cryptanalytic  Results  on  Zipper  Hash   and  Concatenated  Hash

Some Cryptanalytic Results on Zipper Hash and Concatenated Hash

Among the different hash function designs, Merkle-Damg˚ ard [34, 16] or MD hash function has been the most popular and widely used design. Naturally, it is the most studied design as well. The cryptanalysis of MD hash has revealed several weaknesses in the design. Dean [17] first showed that the fixed points (i.e., f (h, m) = h) in the underlying compression function can be used for a long message second preimage attack in O(2 n/2 ) complexity. Later, the seminal work by Joux [25] suggested a new efficient way to construct multicollision 1 on the MD hash. Immediately after his work, Kelsey and Schneier [28] applied the ideas of Joux attack to Deans attack, and eliminated the requirement of fixed points in the compression function by building a new structure called [a, b]-expandable message. 2
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Avoiding Key Off Set attack in a Pairing Free Certificateless Key Agreement Protocol based on ECC

Avoiding Key Off Set attack in a Pairing Free Certificateless Key Agreement Protocol based on ECC

In this paper, a security flaw of Haiyan Sun's protocol has been identified and then a modification has been proposed to design a new paring-free key agreement protocol based on elliptic curve cryptography. A certificateless key agreement protocol without bilinear pairings is proposed which is an extension to the first proposed one. The security analysis of the proposed paring free this key agreement protocol has been discussed. It is found that the proposed protocol achieves all security requirements and avoids the key-off set attack. The performance of the proposed protocol is compared with other protocols and it is found that the proposed protocol is requires computations with improved security properties. The proposed protocol has been implemented using the Mathematica(7) program.
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Secure RSA Variant System to Avoid Factorization Attack using Phony Modules and Phony Public Key Exponent

Secure RSA Variant System to Avoid Factorization Attack using Phony Modules and Phony Public Key Exponent

Fig. 1. Asymmetric Key Cryptography Process [16] Public key algorithms are created dependent on some number theoretic idea which includes number-crunching tasks. Longer the keys and operands increasingly secure the algorithms is. RSA is considered as more secured, efficient and well-known Public Key Cryptosystem (PKC) which ruled public key cryptosystem from most recent 4 decades. RSA algorithm remains on the numerical capacities, for example, factorization, Euler totient work and modular exponent. During development of PKC discrete logarithms and integer factorization’s are the
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Related-Key  Forgeries  for  Prst-OTR

Related-Key Forgeries for Prst-OTR

Our attack is generic and exploits the combination of the OTR mode of oper- ation with an Even-Mansour block cipher construction. It is independent of the used permutation, and thus does not use any particular properties or weaknesses of the Prøst permutation. Consequently, the other members of the Prøst fam- ily, Prøst-COPA and Prøst-APE, are not affected or endangered by the attack. However, the attack demonstrates the possible complications of using an Even- Mansour construction as a block cipher in otherwise secure modes of operation. The Even-Mansour approach of creating a block cipher from a pseudorandom permutation by xoring a secret key before and after applying the permutation to the plaintext has been studied extensively [6,7,8,9,13,18]. It has been proven secure under different notions of security, with detailed bounds relating the secu- rity level with the key length. However, it is inherently susceptible to related-key attacks. The OTR mode of operation allows to “lift” this property to the full en- cryption and authentication scheme. This unfortunate combination of otherwise secure building blocks shows two things: that the Even-Mansour construction should only be used very cautiously, and that related-key properties are not well covered by the classical security notions, although they can lead to powerful forgery attacks.
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Distributed pre-computation for a cryptanalytic time-memory trade-off

Distributed pre-computation for a cryptanalytic time-memory trade-off

The second and more important reason that using the relative speed doesn’t work in this scenario is that the conditions on the nodes doing work are subject to change and are outside of the control of the parallel application. As noted in section 4.5, system memory was not considered a significant enough factor in determining the differences between processor types, but it was measured at 10%, which is statistically significant for this scenario. In the case of this testing, the process using the additional memory was a database server. Over the course of 72 hours, this becomes 7.2 hours of additional processing that must take place on that processor, which creates a significant amount of idle time on the other processors. In a 10 node system, this alone reduces the efficiency from 100% to 90%, as per the following equation.
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Design, Analysis, and Implementation of ARPKI: An Attack-Resilient Public-Key Infrastructure

Design, Analysis, and Implementation of ARPKI: An Attack-Resilient Public-Key Infrastructure

The research community has proposed new PKI archi- tectures to address these issues. Recent proposals include Certificate Transparency (CT) [5] and Sovereign Keys [6], which add accountability by using log servers to make compromises visible, and the Accountable Key Infrastructure (AKI) [7] that prevents attacks by using checks-and-balances to prevent a compromised CA from impersonating domains. Although such proposals provide good starting points and building blocks, they require many interacting entities and thus are inherently highly complex. History has shown that humans will miss cases when considering the security of such complex systems. Moreover, a PKI architecture must satisfy efficiency requirements and fit with existing business models, as well as offer improved security. Finally, even advanced proposals such as CT and AKI are still incomplete (as they do not handle all corner cases in the certificate life cycle) and have been designed in an ad-hoc fashion, without a formal proof of correctness. We will discuss the limitations of the existing state-of-the-art further in Section 3.
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