Final Considerations. The work presented in this paper proposes two area- optimized FPGA structures for the computation of the Xxxxxxxxxx modular multiplication algorithm for generic primes, targeting low–power IGLOO® 2 FPGAs from Mi- crosemi. The proposed structures impose a very low usage of the available FPGA resources while still achieving good performances. To achieve this performance with a low area, the Math Blocks and embedded memories were used to- gether with a careful scheduling to assure a full pipeline usage and a low number of computation cycles. While the first structure achieves the lowest area, the second one allows to approximately half the computation time at the cost of twice the amount of embedded memories and Math Blocks and only 35% more LUTs and registers. Future work will consist of adding wrapping and control logic to allow for the full computation of the ECC scalar multiplication. The main challenge will be to minimize the additional memory and control resources needed to store and process the intermediate values. References [1] X. X. Xxxxxxxxxx, “Modular Multiplication without Trial Division,” Mathematics of Computation, vol. 44, no. 170, pp. 519–521, 1985. [2] X. X. Xxxxxx, X. Xxxxxx, and X. Xxxxxxx, “A method for obtaining digital signatures and public-key cryptosystems,” Communications of the ACM, vol. 21, no. 2, pp. 120–126, feb 1978. [3] X. Xxxxxx, “Use of Elliptic Curves in Cryptography,” in Advances in Cryptology - CRYPTO 85 Proceedings, ser. Lecture Notes in Computer Science. Berlin, Germany: Springer Berlin / Heidelberg, 1986, vol. 218, pp. 417–426. [4] X. Xxxxxx, “Xxxxxxxxxx exponentiation needs no final subtractions,” Electronics Letters, vol. 35, no. 21, pp. 1831–1832, Oct 1999. [5] X. Xxxxxx, X. Xxxxx-Xxxxxxxx, and S. B. Örs, “Flexible Hardware Design for RSA and Elliptic Curve Cryptosystems,” in Topics in Cryptology – CT-RSA 2004, ser. Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2004, vol. 2964, pp. 250–263. [6] X. XxXxxx, X. XxXxxxx, and X. X. XxXxxxx, “FPGA Xxxxxxxxxx multiplier architectures - a comparison,” in Field-Programmable Cus- xxx Computing Machines, 2004. FCCM 2004. 12th Annual IEEE Symposium on, April 2004, pp. 279–282. [7] X. Xxxxxxx, X. Xxxxxxx, X. Xxxxx, X. Xxxxxxx, X. Xxxxxx, X. Xxxxxxx, and X. Xxxxxxxxxxx, “A compact FPGA-based architecture for elliptic curve cryptography over prime fields,” in Application-specific Systems Architectures and Processors (ASAP), 2010 21st IEEE International Conference o...
Final Considerations. 21.1. This MOU, which will also be referred to as “NATO SFA XXX Operational MOU”, consists of twenty-one Sections and seven annexes. The Annexes are integral parts of this MOU.
Final Considerations. Volunteer service work for the Bright Futures scholarship must be volunteer work and prohibits any student from receiving remuneration or academic credit for such work • Final paper or presentation evaluating and reflecting on community/volunteer service performed is required Signatures of Agreement: Student signature: Date Parent signature: Date Site Supervisor: Date Address: Phone: School Counselor/Designee signature: Date
Final Considerations. In the event of a significant change in the number of investors, as a result of an event resolved upon by the company, Bradesco reserves the right to review service prices, by mutual agreement with the issuer.
Final Considerations. Each of the signing parties may designate representatives with the delegated ability to sign the addendums that are agreed to as part of this Agreement. The agreement will comply with current legislation in the jurisdiction of both signing Parties. The duration of the Agreement will be for an indefinite period of time, and neither Party can terminate it unilaterally. This agreement can be terminated with three months notice and the consent of both parties. The Agreement has been drafted in two versions, one in English and the other one in Spanish both having congruent content and identical validity. For the Province of Manitoba For the Region of Valparaiso Original signed Original signed Date: October 24, 2000 "Accord on the Support of Small and Medium Sized Businesses from the Valparaiso Region on their Penetration of the North American Market"
Final Considerations. 11.1 The law governing the General Conditions as well as agreements between the Parties shall be the law of Poland. The Polish Civil Code shall apply to matters not governed herein.
Final Considerations. Community service work for the Bright Futures scholarship must be volunteer work and prohibits any student from receiving compensation or academic credit for such work Paper/Reflection evaluating and reflecting on community volunteer service performed is required. Once approved student is responsible to upload into iPortfolio.
Final Considerations. We have presented a Circus model of FMI with focus on the behavioural and reactive aspects of master algorithms and FMUs. Our model enables us first to verify that implementations of master algorithms are conformant with the restrictions imposed by the FMI standard [1]. Secondly, it can be used to construct a concrete model of a given co-simulation, based on the relational (or, for deterministic FMUs functional) description of FMU behaviour. Such a concrete model allows us to prove properties of the particular interactions that can be observed, using the FMI API. Most interestingly, this may use the fmi2Get function to probe outputs during co-simulation step. As already mentioned, our FMI Circus model complements the relational FMI model in INTO-CPS Deliverable D2.3a. Whereas the relational FMI model is most useful for proving universal and safety properties of co-simu- lations, the reactive model facilitates the design of master algorithms (which are only implicit in the relational model). It thus subsumes the relational model, and, as explained in the previous section, we can construct specific FMUs as Circus processes from their relational characterisations. In the next section, we report on our mechanisation of the Circus FMI model in the theorem prover Isabelle/UTP.
Final Considerations. We have illustrated how our Circus model of FMI co-simulations can be instantiated with an industrial case study from ClearSy (France), one of our project partners. This allows for proof-based analysis of the co-simulation model. The focus of such analysis here complements the approach proposed in INTO-CPS Deliverable D2.3a that targets functional properties of co- simulations, and provides additional guarantees of correctness. Our approach facilitates refinement all the way down to code, which can then be translated into executable languages such as C/C++ and Java. Our experiments show that Isabelle’s code generation comes in useful here, as it enables us to verify tools that efficiently perform symbolic manipulations and refinements of, for instance, Circus models. Our technique brings together many aspects of our foundational work on FMI co-simulations, relying on the semantic embedding of languages for de- scribing co-simulation models, encoding of CPS and Circus, and the linking of theories. Isabelle/UTP has proved to be an invaluable tool to mechanise and reason about this ensemble of languages.
Final Considerations. 1. This Memorandum of Understanding does not imply any commitment to the transfer of financial resources between the Parties.
