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In this paper, we present new preimage attacks on KECCAK-384 and KECCAK-512 for 2, 3 and 4 rounds. The attacks are based on non-linear structures (structures that contain quadratic terms). These struc...
In this paper we study cryptanalysis with non-linear polynomials cf. Eurocrypt’95 (adapted to Feistel ciphers at Crypto 2004). Previously researchers had serious difficulties in making such attacks wo...
LowMC is a block cipher family that is optimized for practical instantiations of multi-party computation, fully homomorphic encryption, and zero-knowledge proofs. It was designed in 2015 by Albrecht e...
Abstract. We investigate the security of a public-key encryption scheme, the Indeterminate Equation Cryptosystem (IEC), introduced by Akiyama, Goto, Okumura, Takagi, Nuida, and Hanaoka at SAC 2017 as ...
In this paper, we propose a post-quantum public-key encryption scheme whose security depends on a problem arising from a multivariate non-linear indeterminate equation. The security of lattice cryptos...
In image processing, algorithms for object classification are typically based around machine learning. From the algorithm developer's perspective, these can involve a considerable amount of effort and...
In this paper, we propose a reduction technique that can be used to determine the density of IV terms of a complex multivariable boolean polynomial. Using this technique, we revisit the dynamic cube a...
In recent years, methods to securely mask S-boxes against side-channel attacks by representing them as polynomials over finite binary fields have become quite efficient. A good cost model for this is ...
In this paper, we present new adaptively secure identity-based encryption (IBE) schemes. One of the distinguishing property of the schemes is that it achieves shorter public parameters than previous s...
Design of SP networks in which the non-linear layer is applied to only a part of the state in each round was suggested by Gérard et al.~at CHES 2013. Besides performance advantage on certain platforms...
Pseudorandom generators, which produce keystreams for stream ciphers by the exclusive-or sum of output bits from alternately clocked linear feedback shift registers, are vulnerable to cryptanalysis. ...
It is well known that three and four rounds of balanced Feistel cipher or Luby-Rackoff (LR) encryption for two blocks messages are pseudorandom permutation (PRP) and strong pseudorandom permutation ...
We propose a general framework to develop fully homomorphic encryption schemes (FHE) without using the Gentry's technique. The security relies on the difficulty of solving systems of non-linear equati...
Solving non-linear and in particular Multivariate Quadratic equations over finite fields is an important cryptanalytic problem. Apart from needing exponential time in general, we also need very large ...
Solving non-linear and in particular Multivariate Quadratic equations over finite fields is an important cryptanalytic problem. Apart from needing exponential time in general, we also need very large ...

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