Point multiplication
Fast point multiplication algorithms for binary elliptic curves with and without precomputation
... the point multiplication operation on binary and prime elliptic ...Montgomery-LD point doubling efficiency, which costs 49% less than a point halving, the GLS- Montgomery-LD-double-and-add ...
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Design of logarithm based floating point multiplication and division on FPGA
... floating point or logarithmic number ...floating point and logarithm based arithmetic circuits to be applicable to ...floating point arithmetic units on FPGA ...floating point representation ...
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Throughput/Area-efficient ECC Processor Using Montgomery Point Multiplication on FPGA
... Abstract—High throughput while maintaining low resource is a key issue for Elliptic Curve Cryptography (ECC) hardware implementations in many applications. In this paper, an ECC processor architecture over Galois Fields ...
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Design of Single Precision Floating Point Multiplication Algorithm with Vector Support
... floating point multiplier capable of supporting wide range of application domains like scientific computing and multimedia ...floating point units consume less power and small part of total ...floating ...
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Throughput/Area-efficient ECC Processor Using Montgomery Point Multiplication on FPGA
... Abstract —High throughput while maintaining low resource is a key issue for Elliptic Curve Cryptography (ECC) hardware implementations in many applications. In this paper, an ECC processor architecture over Galois Fields ...
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Architectural design of 8 bit floating point multiplication unit
... Thus an efficient floating point multiplication unit has been designed. To increase the computation speed pipelined registers are used. This makes the hardware implementation of the design to be easier. It ...
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GPU and ASIC Acceleration of Elliptic Curve Scalar Point Multiplication
... scalar point multiplication began with the VLSI implementation of a recently proposed finite field reordered nor- mal basis multiplier architecture [4], which, in turn, would lead to greatly improved scalar ...
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Analysis of Multibase Scalar Point Multiplication Scheme in ECC
... In proposed approach Zeckendorf representation is com- bined with multibase concept.First by using Algorithm 1 Sets are generated [20]. After generation of sets point mul- tiplication is computed by Algorithm 2. ...
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Elliptic Curve Point Multiplication Using MBNR and Point Halving
... scalar multiplication, which is the most important operation in elliptic curve ...all point doublings and quadrupling can be replaced by faster point halving while maintaining the tripling ...scalar ...
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On the Implementation of Unified Arithmetic on Binary Huff Curves
... n-bit point multiplication based on the proposed Unified Huff curve arithmetic costs ...fast point multiplication [16] trick which costs only 6n ...the point addition is complete only on ...
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Comparative Analysis of Arithmetic Operations in an ECC Processor using RSD and CSD based Representation
... scalar point multiplication in which a point on the curve is multiplied by a ...scalar point multiplication is done through point additions and point doubling which in ...
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Survey of Matrix Multiplication using IEEE 754 Floating Point for Digital Image Compression
... floating point representation, 8 bit Exponent field in single precision floating point (SP FP) representation and 11 bit in double precision floating point (DP FP) representation are need to add with ...
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Virtex 4 Field Programmable Gate Array Based 32 bit FPM
... floating- point is ubiquitous in computer ...Floating Point numbers represented in IEEE 754 format are used in most of the DSP ...Floating point arithmetic is useful in applications where a large ...
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Improved Arithmetic on Elliptic Curves over Prime Field
... [3] Ian F. Blake, Gadiel Seroussi, and Nigel Smart. Elliptic Curves in Cryptography. London Mathematical Society Lecture Note Series 265. Cambridge University Press, Cambridge, 1999. [4] Eric Brier and Marc Joye. Fast ...
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PLANT GROWTH MODELING OF ZINNIA ELEGANS JACQ USING FUZZY MAMDANI AND L SYSTEM APPROACH WITH MATHEMATICA
... scalar point multiplication to perform digital signature signing, verification and key ...computing point multiplication and also increases the performance of ECDSA through for creating ...
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Ultra Low-Power implementation of ECC on the ARM Cortex-M0+
... random point multiplication, and ...fixed-point multiplication. On average our implementation of the random point multiplication requires 2814827 cycles, and ...fixed ...
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A Light Weight Implementation of ECC Cryptosystem on FPGA for nodes in Wireless Sensor Networks
... field multiplication, out of which Karatsuba algorithm is termed as a fast multiplication algorithm published in the year ...conventional multiplication method, multiplying two integers of n-bits ...
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Data Compression and Security in Elliptic Curve Cryptography with Run Length Encoding
... scalar multiplication to determine the secret signing key ...of point addition and doubling in Verilog system which is used in elliptic curve point multiplication for modular addition, ...
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Performance Evaluation of FPM on Spartan Family FPGAs and Analyze Its Effect on Bonded IOBs
... floating- point is ubiquitous in computer ...Floating Point numbers represented in IEEE 754 format are used in most of the DSP ...Floating point arithmetic is useful in applications where a large ...
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Commutative Law for the Multiplication of Matrices as Viewed in Terms of Hankel's Principle
... where λ is a scalar. As shown in the previous section, this form is not proper from the viewpoint of matrix multiplication. In standard textbooks on linear algebra (for example, [1]), however, this form is used as ...
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