Design Of A Reconfigurable Processor For Elliptic Curve Cryptography Over Nist Prime Fields PDF Download
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Release | : 2001 |
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Download Design of a Reconfigurable Processor for Elliptic Curve Cryptography Over NIST Prime Fields Book in PDF, ePub and Kindle
Exchange of information must integrate a means of protecting data against unauthorized access. Cryptography plays an important role in achieving information security. It is used for (1) encrypting or signing data at the source before transmission, and then (2) decrypting or validating the signature of the received message at the destination. This thesis focuses on the study of the hardware implementation of a reconfigurable processor supporting elliptic curve cryptography (ECC) over prime fields GF(p). The proposed processor can be reconfigured to work with any of the five prime fields recommended by N1ST (192 to 521 bits). Our processor can be programmed to execute any sequence of basic modular operations (add, subtract, multiply, invert) used in higher level ECC arithmetic. The architecture has been prototyped on a Xilinx FPGA. Its performance is competitive with existing hardware implementation, despite the overhead needed to support datapath reconfigurations for different prime sizes.
Author | : Kendall Ananyi |
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Total Pages | : |
Release | : 2006 |
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Download Design of a Reconfigurable Processor for Elliptic Curve Cryptography Over NIST Prime Fields Book in PDF, ePub and Kindle
Author | : Hamad Alrimeih |
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Release | : 2012 |
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Download Fast and Flexible Hardware Support for Elliptic Curve Cryptography Over Multiple Standard Prime Finite Fields Book in PDF, ePub and Kindle
Exchange of private information over a public medium must incorporate a method for data protection against unauthorized access. Elliptic curve cryptography (ECC) has become widely accepted as an efficient mechanism to secure private data using public-key protocols. Scalar multiplication (which translates into a sequence of point operations each involving several modular arithmetic operations) is the main ECC computation, where the scalar value is secret and must be secured. In this dissertation, we consider ECC over five standard prime finite fields recommended by the National Institute of Standard and Technology (NIST), with the corresponding prime sizes of 192, 224, 256, 384, and 521 bits. This dissertation presents our general hardware-software approach and technical details of our novel hardware processor design, aimed at accelerating scalar multiplications with flexible security-performance tradeoffs. To enhance performance, our processor exploits parallelism by pipelining modular arithmetic computations and associated input/output data transfers. To enhance security, modular arithmetic computations and associated data transfers are grouped into atomically executed computational blocks, in order to make curve point operations indistinguishable and thus mask the scalar value. The flexibility of our processor is achieved through the software-controlled hardware programmability, which allows for different scenarios of computing atomic block sequences. Each scenario is characterized by a certain trade-off between the processor's security and performance. As the best trade-off scenario is specific to the user and/or application requirements, our approach allows for such a scenario to be chosen dynamically by the system software, thus facilitating system adaptation to dynamically changing requirements. Since modular multiplications are the most critical low-level operation in ECC computations, we also propose a novel modular multiplier specifically optimized to take full advantage of the fast reduction algorithms associated with the five NIST primes. The proposed architecture has been prototyped on a Xilinx Virtex-6 FPGA and takes between 0.30 ms and 3.91 ms to perform a typical scalar multiplication. Such performance figures demonstrate both flexibility and efficiency of our proposed design and compares favourably against other systems reported in the literature.
Author | : Darrel Hankerson |
Publisher | : Springer Science & Business Media |
Total Pages | : 328 |
Release | : 2006-06-01 |
Genre | : Computers |
ISBN | : 0387218467 |
Download Guide to Elliptic Curve Cryptography Book in PDF, ePub and Kindle
After two decades of research and development, elliptic curve cryptography now has widespread exposure and acceptance. Industry, banking, and government standards are in place to facilitate extensive deployment of this efficient public-key mechanism. Anchored by a comprehensive treatment of the practical aspects of elliptic curve cryptography (ECC), this guide explains the basic mathematics, describes state-of-the-art implementation methods, and presents standardized protocols for public-key encryption, digital signatures, and key establishment. In addition, the book addresses some issues that arise in software and hardware implementation, as well as side-channel attacks and countermeasures. Readers receive the theoretical fundamentals as an underpinning for a wealth of practical and accessible knowledge about efficient application. Features & Benefits: * Breadth of coverage and unified, integrated approach to elliptic curve cryptosystems * Describes important industry and government protocols, such as the FIPS 186-2 standard from the U.S. National Institute for Standards and Technology * Provides full exposition on techniques for efficiently implementing finite-field and elliptic curve arithmetic * Distills complex mathematics and algorithms for easy understanding * Includes useful literature references, a list of algorithms, and appendices on sample parameters, ECC standards, and software tools This comprehensive, highly focused reference is a useful and indispensable resource for practitioners, professionals, or researchers in computer science, computer engineering, network design, and network data security.
Author | : E-Jen Lien |
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Total Pages | : 65 |
Release | : 2012 |
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Download Efficient Implementation Of Elliptic Curve Cryptography In Reconfigurable Hardware Book in PDF, ePub and Kindle
Elliptic curve cryptography (ECC) has emerged as a promising public-key cryptography approach for data protection. It is based on the algebraic structure of elliptic curves over finite fields. Although ECC provides high level of information security, it involves computationally intensive encryption/decryption process, which negatively affects its performance and energy-efficiency. Software implementation of ECC is often not amenable for resource-constrained embedded applications. Alternatively, hardware implementation of ECC has been investigated - in both application specific integrated circuit(ASIC) and field programmable gate array (FPGA) platforms - in order to achieve desired performance and energy efficiency. Hardware reconfigurable computing platforms such as FPGAs are particularly attractive platform for hardware acceleration of ECC for diverse applications, since they involve significantly less design cost and time than ASIC. In this work, we investigate efficient implementation of ECC in reconfigurable hardware platforms. In particular, we focus on implementing different ECC encryption algorithms in FPGA and a promising memory array based reconfigurable computing framework, referred to as MBC. MBC leverages the benefit of nanoscale memory, namely, high bandwidth, large density and small wire delay to drastically reduce the overhead of programmable interconnects. We evaluate the performance and energy efficiency of these platforms and compare those with a purely software implementation. We use the pseudo-random curve in the prime field and Koblitz curve in the binary field to do the ECC scalar multiplication operation. We perform functional validation with data that is recommended by NIST. Simulation results show that in general, MBC provides better energy efficiency than FPGA while FPGA provides better latency.
Author | : Cetin K. Koc |
Publisher | : |
Total Pages | : 372 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662164693 |
Download Cryptographic Hardware and Embedded Systems - Ches 2000 Book in PDF, ePub and Kindle
Author | : Orr Dunkelman |
Publisher | : Springer |
Total Pages | : 531 |
Release | : 2016-03-17 |
Genre | : Computers |
ISBN | : 3319313010 |
Download Selected Areas in Cryptography - SAC 2015 Book in PDF, ePub and Kindle
This book contains revised selected papers from the 22nd International Conference on Selected Areas in Cryptography, SAC 2015, held in Sackville, NB, Canada in August 2015. The 26 full papers and 3 short papers presented in this volume were carefully reviewed and selected from 91 submissions. They are organized in topical sections named: privacy enhancing technologies; cryptanalysis of symmetric-key primitives; implementation of cryptographic schemes; short papers; privacy preserving data processing; side channel attacks and defenses; new cryptographic constructions; authenticated encryption; on the hardness of mathematical problems; and cryptanalysis of authenticated encryption schemes.
Author | : Aarti Malik |
Publisher | : |
Total Pages | : 206 |
Release | : 2005 |
Genre | : Cryptography |
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Download Reconfigurable Elliptic Curve Cryptography Book in PDF, ePub and Kindle
"This work proposes a generic architecture for elliptic curve cryptosystem on a Field Programmable Gate Array (FPGA) that performs an elliptic curve scalar multiplication in 1.16 milliseconds for GF (2163), which is considerably faster than most other documented implementations. One of the benefits of the proposed processor architecture is that it is easily reprogrammable to use different algorithms and is adaptable to any field order. Also through reconfiguration the arithmetic unit can be optimized for different area/speed requirements. The mathematics involved uses binary extension field of the form GF (2n) as the underlying field and polynomial basis for the representation of the elements in the field. A significant gain in performance is obtained by using projective coordinates for the points on the curve during the computation process"--Abstract.
Author | : Leibo Liu |
Publisher | : Springer |
Total Pages | : 395 |
Release | : 2018-05-16 |
Genre | : Technology & Engineering |
ISBN | : 9811088993 |
Download Reconfigurable Cryptographic Processor Book in PDF, ePub and Kindle
This book focuses on the design methods for reconfigurable computing processors for cryptographic algorithms. It covers the dynamic reconfiguration analysis of cryptographic algorithms, hardware architecture design, and compilation techniques for reconfigurable cryptographic processors, and also presents a case study of implementing the reconfigurable cryptographic processor “Anole” designed by the authors’ team. Moreover, it features discussions on countermeasures against physical attacks utilizing partially and dynamically reconfigurable array architecture to enhance security, as well as the latest trends for reconfigurable cryptographic processors. This book is intended for research scientists, graduate students, and engineers in electronic science and technology, cryptography, network and information security, as well as computer science and technology.
Author | : Francisco Rodriguez-Henriquez |
Publisher | : Springer Science & Business Media |
Total Pages | : 362 |
Release | : 2007-04-03 |
Genre | : Technology & Engineering |
ISBN | : 0387366822 |
Download Cryptographic Algorithms on Reconfigurable Hardware Book in PDF, ePub and Kindle
Software-based cryptography can be used for security applications where data traffic is not too large and low encryption rate is tolerable. But hardware methods are more suitable where speed and real-time encryption are needed. Until now, there has been no book explaining how cryptographic algorithms can be implemented on reconfigurable hardware devices. This book covers computational methods, computer arithmetic algorithms, and design improvement techniques needed to implement efficient cryptographic algorithms in FPGA reconfigurable hardware platforms. The author emphasizes the practical aspects of reconfigurable hardware design, explaining the basic mathematics involved, and giving a comprehensive description of state-of-the-art implementation techniques.