[PDF] Top 20 New candidates for multivariate trapdoor functions

... a new method for building pairs of HFE polynomials of high degree, such that the map constructed with such a pair is easy to ...build new candidates for multivariate trapdoor ... See full document

... 6. Patarin, J.: Hidden Field Equations (HFE) and Isomorphisms of Polynomials (IP): two new families of asymmetric algorithms. In: Maurer, U.M. (Ed.) Advances in Cryptology - EUROCRYPT 1996. LNCS, vol. 1070, pp. ... See full document

... the trapdoor used in our scheme, the other one is a multiple targets version of the decoding problem (3), the so called “Decoding One Out of Many” problem (DOOM in short) ...sampleable functions is given ... See full document

... one-way trapdoor function, and then propose a new multivariate public key cryptosystem called TOT, which can be used for encryption, signature and ... See full document

... Trapdoor functions (TDFs) are a fundamental primitive in cryptography. Yet, the current set of assumptions known to imply TDFs is surprisingly limited, when compared to public-key encryption. We present a ... See full document

... a new line of research that envisages designing multilinear maps from iO ...iO candidates themselves rely on leveled multilinear maps, which raises the legitimate question of how much trust can be placed in ... See full document

... are new, it should be noted that the concepts of unclonability and uniqueness have been used extensively in the past for other applications ...One-Way Functions and popularized in 2001 ... See full document

... Our new solution removes these two problems. As discussed above, we can instantiate our proto- cols over RSA moduli, and prove their security under the DDH/RSA/Factoring Assumptions over such groups, therefore ... See full document

... hash functions from any one-way function; circumventing the black-box separation results of Impagliazzo and Rudich [IR89] and of Simon [Sim98], respectively? Conversely, can one enhance the aforementioned ... See full document

... seen new candidates and strategies emerge for multivariate ...Previously, multivariate schemes centered around bijective functions that map from vector spaces of size n back into a ... See full document

... secure multivariate public key were unsuccessful, but the research of the development of new candidates for secure multivariate public keys is going on (see for instance [3] and further ... See full document

... On the other hand, building TDFs turns out to be much more difficult than building PKE, mostly due to the requirement of recovering the entire input, which in turn is the reason behind the lack of black-box ... See full document

... Porras et al. proposed a new central trapdoor which they call ZHFE [24]. Up until this point, the extension field polynomial in HFE-based cryptosystem required the number of nonzero coefficients to be small ... See full document

... our new definition of partial lossiness under mild hardness assumptions in groups of prime ...our new version of partial lossiness) against adaptive adversaries for hierarchies of constant ...of ... See full document

... Trapdoor permutations (TDPs) [RSA78, Rab79] are a family of permutations, where each permu- tation in the family is easy to compute given the underlying index key, and also easy to invert given a corresponding ... See full document

... reward functions of constant rates, defined on a semi-Markov process, first were studied by Masuda and Sumita, ...reward functions were introduced in Soltani, ...a multivariate process Z ( t ) = ( Z ... See full document

... This paper is organized as follows. In Section 2, we include some known results that are necessary later in the paper. Section 3 is dedicated to the proof of Theorem 1.3. Based on it, we prove Theorem 1.1 in Section 4. ... See full document

... the trapdoor mechanism is to replace the original circuit C with a trapdoor circuit Trap[C] that the receiver faking algorithm can then use to program the output in some ... See full document

... In this section we have given simulation study and real data application of the proposed multivariate Weibull distribution. The simulation study has been conducted to see the performance of maximum likelihood ... See full document

... More research is needed to establish a better matching function. The results of Experiment 1 show that, although inclusion is very high, it is still impossible to identify matching Twitter accounts due to a lack of ... See full document