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We consider Feistel ciphers instantiated with tweakable block ciphers (TBCs) and ideal ciphers (ICs). The indistinguishability security of the TBC-based Feistel cipher is known, and the indifferentiability security of the IC-based Feistel cipher is also known, where independently keyed TBCs and independent ICs are assumed. In this paper, we analyze the security of a single-keyed TBC-based Feistel cipher and a single IC-based Feistel cipher. We characterize the security depending on the number of rounds. More precisely, we cover the case of contracting Feistel ciphers that have d ≥ 2 lines, and the results on Feistel ciphers are obtained as a special case by setting d = 2. Our indistinguishability security analysis shows that it is provably secure with d + 1 rounds. Our indifferentiability result shows that, regardless of the number of rounds, it cannot be secure. Our attacks are a type of a slide attack, and we consider a structure that uses a round constant, which is a well-known countermeasure against slide attacks. We show an indifferentiability attack for the case d = 2 and 3 rounds.
Mohamed TOLBA Ahmed ABDELKHALEK Amr M. YOUSSEF
Kiasu-BC is a recently proposed tweakable variant of the AES-128 block cipher. The designers of Kiasu-BC claim that no more than 7-round Meet-in-the-Middle (MitM) attack can be launched against it. In this letter, we present a MitM attack, utilizing the differential enumeration technique, on the 8-round reduced cipher. The attack has time complexity of 2116 encryptions, memory complexity of 286 128-bit blocks, and data complexity of 2116 plaintext-tweak combinations.
Hayato KOBAYASHI Kazuhiko MINEMATSU Tetsu IWATA
An Authenticated Encryption scheme is used to guarantee both privacy and authenticity of digital data. At FSE 2014, an authenticated encryption scheme called CLOC was proposed. CLOC is designed to handle short input data efficiently without needing heavy precomputation nor large memory. This is achieved by making various cases of different treatments in the encryption process depending on the input data. Five tweak functions are used to handle the conditional branches, and they are designed to satisfy 55 differential probability constraints, which are used in the security proof of CLOC. In this paper, we show that all these 55 constraints are necessary. This shows the design optimality of the tweak functions in CLOC in that the constraints cannot be relaxed, and hence the specification of the tweak functions cannot be simplified.
In this note we suggest a new parallelizable mode of operation for message authentication codes (MACs). The new MAC algorithm iterates a pseudo-random function (PRF) FK:{0,1}m → {0,1}n, where K is a key and m,n are positive integers such that m ≥ 2n. The new construction is an improvement over a sequential MAC algorithm presented at FSE2008, solving positively an open problem posed in the paper – the new mode is capable of fully parallel execution while achieving rate-1 efficiency and “full n-bit” security. Interestingly enough, PMAC-like parallel structure, rather than CBC-like serial iteration, has beneficial side effects on security. That is, the new construction is provided with a more straightforward security proof and with an even better (“
Tweakable pseudorandom permutations have wide applications such as the disk sector encryption, and the underlying primitive for efficient MACs and authenticated encryption schemes. Goldenberg et al. showed constructions of a tweakable pseudorandom permutation based on the Feistel structure. In this paper, we explore the possibility of designing tweakable pseudorandom permutations based on the Generalized Feistel Structure. We show that tweakable pseudorandom permutations can be obtained without increasing the number of rounds compared to the non-tweakable versions. We also present designs that take multiple tweaks as input.
Kazuhiko MINEMATSU Toshiyasu MATSUSHIMA
This paper describes an extension of XEX* mode, which is a method to convert a block cipher into a tagged tweakable block cipher, a notion introduced by Rogaway in 2004 as an extension of the tweakable block cipher by Liskov et al. Our extension attaches an additional encryption function to the original XEX*, which has some limitation but is slightly faster than the encryption implemented by XEX*. We prove our scheme's security in a general form, where the offset function, a key component of our construction, is not restricted to the one used by XEX*. We also provide some applications of our result, in particular to OCB 2.0, an authenticated encryption based on XEX*.