Cryptanalysis of CIKS-128 and CIKS-128H Suitable for Intelligent Multimedia and Ubiquitous Computing Systems

Recently, data-dependent permutations (DDP) that are very suitable for intelligent multimedia and ubiquitous computing systems have been introduced as a new cryptographic primitive for the design of fast encryption systems. The CIKS-128 and CIKS-128H block ciphers are the typical examples of DDP-based encryption algorithms. In this paper, we show that CIKS-128 and CIKS-128H are vulnerable to related-key differential attacks. We first describe how to construct their full-round related-key differential characteristics with high probabilities and then we exploit them to break the full-round CIKS-128 and CIKS-128H with 2^44, and 2^48 data/time complexities, respectively

Various Security Analysis of a pfCM-MD Hash Domain Extension and Applications based on the Extension

We propose a new hash domain extension \textit{a prefix-free-Counter-Masking-MD (pfCM-MD)}. And, among security notions for the hash function, we focus on the indifferentiable security notion by which we can check whether the structure of a given hash function has any weakness or not. Next, we consider the security of HMAC, two new prf constructions, NIST SP 800-56A key derivation function, and the randomized hashing in NIST SP 800-106, where all of them are based on the pfCM-MD. Especially, due to the counter of the pfCM-MD, the pfCM-MD are secure against all of generic second-preimage attacks such as Kelsey-Schneier attack \cite{KeSc05} and Elena {\em et al.}\u27 attck \cite{AnBoFoHoKeShZi08}. Our proof technique and most of notations follow those in \cite{BeDaPeAs08,Bellare06,BeCaKr96a}

Classification of 4-bit S-boxes for BOGI-permutation

In this paper, we present all 4-bit S-boxes which are able to support BOGI logic. We exhaustively show that only 2,413 PXE classes of 4-bit S-box are BOGI-applicable among the 142,090,700 PXE classes. We evaluate the whole BOGI-applicable S-boxes in terms of the security and implementation costs. The security evaluation includes security strength of the S-boxes themselves, and how they affect the resistance of GIFT-64 against differential and linear cryptanalysis (DC and LC). The security evaluation shows that all the BOGI-applicable S-boxes fulfill the security criteria of GIFT designers as long as they have the differential uniformity and linearity as 6 and 8, respectively. It will also be shown that the security of GIFT-64 against DC and LC can be improved only by changing the S-box. Moreover, we evaluate the implementation costs of the BOGI-applicable S-boxes by finding their optimal implementation. The results show that GIFT S-box is well-chosen considering existence of fixed-points, and suggest a set of S-boxes providing the same implementation cost as GIFT S-box. Finally, we suggest a set of potentially better S-boxes for GIFT-64 based on our investigations

Linear and Differential Cryptanalysis of Reduced SMS4 Block Cipher

SMS4 is a 128-bit block cipher with a 128-bit user key and 32 rounds, which is used in WAPI, the Chinese WLAN national standard. In this paper, we present a linear attack and a differential attack on a 22-round reduced SMS4; our 22-round linear attack has a data complexity of 2^{117} known plaintexts, a memory complexity of 2^{109} bytes and a time complexity of 2^{109.86} 22-round SMS4 encryptions and 2^{120.39} arithmetic operations, while our 22-round differential attack requires 2^{118} chosen plaintexts, 2^{123} memory bytes and 2^{125.71} 22-round SMS4 encryptions. Both of our attacks are better than any previously known cryptanalytic results on SMS4 in terms of the number of attacked rounds. Furthermore, we present a boomerang and a rectangle attacks on a 18-round reduced SMS4. These results are better than previously known rectangle attacks on reduced SMS4. The methods presented to attack SMS4 can be applied to other unbalanced Feistel ciphers with incomplete diffusion

Efficient Differential Trail Searching Algorithm for ARX Block Ciphers

In this paper, we suggest an advanced method searching for differential trails of block cipher with ARX structure. We use two techniques to optimize the automatic search algorithm of differential trails suggested by Biryukov et al. and obtain 2~3 times faster results than the previous one when implemented in block cipher SPECK

Notions and relations for RKA-secure permutation and function families

The theory of designing block ciphers is mature, having seen signi¯cant progress since the early 1990s for over two decades, especially during the AES devel- opment e®ort. Nevertheless, interesting directions exist, in particular in the study of the provable security of block ciphers along similar veins as public-key primitives, i.e. the notion of pseudorandomness (PRP) and indistinguishability (IND). Furthermore, recent cryptanalytic progress has shown that block ciphers well designed against known cryptanalysis techniques including related-key attacks (RKA) may turn out to be less secure against related-key attacks than expected. The notion of provable security of block ciphers against related-key attacks was initiated by Bellare and Kohno, and sub- sequently treated by Lucks. Concrete block cipher constructions were proposed therein with provable security guarantees. In this paper, we are interested in the security no- tions for RKA-secure block ciphers

Biclique Cryptanalysis of Lightweight Block Ciphers PRESENT, Piccolo and LED

In this paper, we evaluate the security of lightweight block ciphers PRESENT, Piccolo and LED against biclique cryptanalysis. To recover the secret key of PRESENT-80/128, our attacks require $2^{79.76}$ full PRESENT-80 encryptions and $2^{127.91}$ full PRESENT-128 encryptions, respectively. Our attacks on Piccolo-80/128 require computational complexities of $2^{79.13}$ and $2^{127.35}$, respectively. The attack on a $29$-round reduced LED-64 needs $2^{63.58}$ 29-round reduced LED-64 encryptions. In the cases of LED-80/96/128, we propose the attacks on two versions. First, to recover the secret key of $45$-round reduced LED-80/96/128, our attacks require computational complexities of $2^{79.45}, 2^{95.45}$ and $2^{127.45}$, respectively. To attack the full version, we require computational complexities of $2^{79.37}, 2^{95.37}$ and $2^{127.37}$, respectively. However, in these cases, we need the full codebook. These results are superior to known biclique cryptanalytic results on them

New Impossible Differential Characteristic of SPECK64 using MILP

Impossible differential attack is one of powerful methods for analyzing block ciphers. When designing block ciphers, it must be safe for impossible differential attacks. In case of impossible differential attack, the attack starts from finding the impossible differential characteristic. However, in the case of the ARX-based block cipher, these analyzes were difficult due to the addition of modulus. In this paper, we introduce 157 new six-round impossible differential characteristics of ARX-basef block cipher, SPECK64, using Mixed Integer Linear Programming (MILP) base impossible differential characteristic search proposed by Cui [3] etc

Shining Light on the Shadow: Full-round Practical Distinguisher for Lightweight Block Cipher Shadow

Shadow is a lightweight block cipher proposed at IEEE IoT journal 2021. Shadow’s main design principle is adopting a variant 4- branch Feistel structure in order to provide a fast diffusion rate. We define such a structure as Shadow structure and prove that it is al- most identical to the Generalized Feistel Network, which invalidates the design principle. Moreover, we give a structural distinguisher that can distinguish Shadow structure from random permutation with only two plaintext/ciphertext pairs. By exploiting the key schedule, the distin- guisher can be extended to key recovery attack with only one plain- text/ciphertext pair. Furthermore, by considering Shadow’s round func- tion, only certain forms of monomials can appear in the ciphertext, re- sulting in an integral distinguisher of four plaintext/ciphertext pairs. Even more, the algebraic degree does not increase more than 12 for Shadow-32 and 20 for Shadow-64 regardless of rounds used. Our results show that Shadow is highly vulnerable to algebraic attacks, and that algebraic attacks should be carefully considered when designing ciphers with AND, rotation, and XOR operations