[PDF] Top 20 RNS Modular Computations for Cryptographic Applications

... I splits operands into 2 parts: − → X = −−→ ( K x ) × −−−→ (M a ) + −−→ ( R x ) allows to replace 2n moduli by only 3 2 n I reuses split result in various computation patterns I requires an hypothesis on P: OK for ... Voir le document complet

... critical applications, ...[13]. For this purpose, prior works showed that RNS naturally provides a Leak Resistant Arithmetic ...Again, RNS owns a natural detection solution through the use of ... Voir le document complet

... of computations resources and time making them unacceptable for an optimization ...just for magnetic components: indeed, these components have currently fully developed numerical simulation ... Voir le document complet

... of modular inversion algorithms have been imple- mented on ...of cryptographic RNS processors for ECC applications in the future, we use an architecture similar to the state-of-art one ... Voir le document complet

... new RNS modular multiplication algorithm which only requires a single base bit width instead of a double ...selected for very efficient computations in ...an RNS modular ... Voir le document complet

... VII. C ONCLUSION A new fast RNS modular inversion algorithm has been proposed. This algorithm is based on the binary extended Eu- clidean algorithm, as the state-of-the-art one proposed in [10]. In the new ... Voir le document complet

... algorithm for multiplication in binary finite field extensions is one of the aims of this thesis, thus the thorough analysis of existing methods and solutions is ...aimed for ECC applications thus they ... Voir le document complet

... the computations use different representations from one execution to ...on RNS representation based on the Chinese Remainder ...randomized RNS arithmetic offers a good opportunity to randomize ... Voir le document complet

... of cryptographic operation, like an RSA modular exponentiation [12], can be attacked by side channel ...implements modular arithmetic in residue number sys- tem (RNS) and randomizes the ... Voir le document complet

... in cryptographic applications. In this paper, we propose a new RNS modular multiplication algorithm over F P with a reduced number of moduli in base ...operations for large ... Voir le document complet

... and for N 1/e  M  √ N , we will use more recent results proved by Wooley ...since for M ≤ N 1/e , it is possible in polynomial-time to recover x ≤ M given the k ≥ M least significant bits of f (x) as we ... Voir le document complet

... at applications level (functionalities) as well as deployment level (software tasks, exe- cution ...Control for Discrete Event Systems (DES), where the space of configura- tions at the different levels are ... Voir le document complet

... OTAWA. For example, the concept of l-block, a partition of basic blocks according cache blocks bounds, is used in each instruction cache ...is for the cache modelling data structures that are used by the ... Voir le document complet

... 101 - 54602 Villers lès Nancy Cedex France Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex France Unité de recherche INRIA Rhône-Alpes : 65[r] ... Voir le document complet

... 47 Figure 8. Animal models of inducible and spontaneous SSc by Batteux, Current Opinion in Rheumatology, 2011. In these mice, except for fibrosis, they are other clinical abnormalities like vasculitis, alopecia ... Voir le document complet

... Fig. 3. Board used to acquire side-channel information on the Stratix FPGA. Fig. 4. Customization of the commercial board shown in Fig. 3 for better power measurement. and Correlation Power Attack (CPA), as ... Voir le document complet

... law, for other models it may require some computations to obtain it (see for instance ...relations for theta functions, we generalize Miller’s algorithm to all abelian ... Voir le document complet

... Many approaches have been proposed over the years to improve the composability of C projects, but seemingly few of them have resulted in tangible improvements for programming in C on the language level. In ... Voir le document complet

... search for the optimal design. For solving the design problem, the designer almost always has to correct either the mathematical model, the dimension of the vectors of design variables and criteria, the ... Voir le document complet

... 1.3.1 Chain-of-Custody Security Current voting solutions use some type of voting machine to assist voters in preparing and casting a ballot. The machines are built by private companies, according to various state- ... Voir le document complet