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Single Precision Modular Multiplication on the GPU

Single-Precision and Double-Precision Merged Floating-Point Multiplication and Addition Units on FPGA

Single-Precision and Double-Precision Merged Floating-Point Multiplication and Addition Units on FPGA

... one multiplication and addition operation is performed with only one rounding instead of ...a single FPGA chip, more computing units can be placed that is expected to further improve the computing ...

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Multivariate Polynomial Multiplication on GPU

Multivariate Polynomial Multiplication on GPU

... return polynomial result The first kernel computes all the terms of the product. The result can be thought of as a matrix of terms as seen in Figure 2. Each thread reads the coefficients and exponents of two terms, computes ...

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Design of Single Precision Floating Point Multiplication Algorithm with Vector Support

Design of Single Precision Floating Point Multiplication Algorithm with Vector Support

... a single precision floating point multiplication algorithm with vector ...The single precision floating point multiplier is having a path delay of 72ns and also having the operating ...

8

Tripartite Modular Multiplication using Toom-Cook Multiplication

Tripartite Modular Multiplication using Toom-Cook Multiplication

... for modular multiplication of large numbers and evaluated them with respect to their accuracy, computation performance and ...No single algorithm provides a perfect solution to meet all demands; ...

5

Optimizing Sparse Matrix-Matrix Multiplication for the GPU

Optimizing Sparse Matrix-Matrix Multiplication for the GPU

... The localized shared memory sorting routine is implemented using the highly efficient CTA oriented radix sorting implementation exposed by the CUB branch of B40C library[17]; we implement thread and warp variants. To ...

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Reproducible and Accurate Matrix Multiplication for GPU Accelerators

Reproducible and Accurate Matrix Multiplication for GPU Accelerators

... As a baseline we consider the vectorized and parallelized non-deterministic double precision matrix multiplication. Figs. 3a and 3b present the measured time achieved by the matrix multiplication ...

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Long  Modular  Multiplication  for  Cryptographic  Applications

Long Modular Multiplication for Cryptographic Applications

... These frequent correction steps cannot be avoided with one digit scaling. It corre- sponds to a division of single digits and they don't provide good quotient estimates. The S10 algorithm below uses an extra bit, ...

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Hardware  Aspects  of  Montgomery  Modular  Multiplication

Hardware Aspects of Montgomery Modular Multiplication

... a modular multiplica- tion algorithm, it should be clear that there is a need to protect other aspects of cryptographic exponentiation implementations from critical side channel leak- ...a multiplication ...

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Performance Portable GPU Code Generation for Matrix Multiplication

Performance Portable GPU Code Generation for Matrix Multiplication

... matrix multiplication. Starting from a single high-level program, our compiler auto- matically generate highly optimized and specialized imple- ...matrix multiplication on Nvidia and even outperforms ...

11

High-Performance Modular Multiplication on the Cell Processor

High-Performance Modular Multiplication on the Cell Processor

... The Multi-Precision Math (MPM) Library by IBM (single stream) Costigan and Schwabe (AFR09): special 255-bit prime (multi-stream) Bernstein et al... Contributions?[r] ...

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Fast Modular Reduction for Large-Integer Multiplication

Fast Modular Reduction for Large-Integer Multiplication

... the modular reduction as an independent step of modular multiplication, which is the central operation in public-key ...the single-precision multiplication prevalent in many of ...

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Montgomery  Modular  Multiplication  on  ARM-NEON  Revisited

Montgomery Modular Multiplication on ARM-NEON Revisited

... Finally this resource access conflicts results in pipeline stalls. In order to resolve this problem, we rescheduled the order of operations to achieve a latency-hidden design. We implemented the Coarsely Integrated ...

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Performance comparison of single-precision SPICE Model-Evaluation on FPGA, GPU, Cell, and multi-core processors

Performance comparison of single-precision SPICE Model-Evaluation on FPGA, GPU, Cell, and multi-core processors

... a single-chip and can be customized to implement irregular floating-point ...of single-precision floating-point graphics pipelines (newer GPUs support ...

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GPU and ASIC Acceleration of Elliptic Curve Scalar Point Multiplication

GPU and ASIC Acceleration of Elliptic Curve Scalar Point Multiplication

... field multiplication algorithm be implemented using NVIDIA’s PTX low-level virtual machine language for several ...its single-static-assignment intermediate code to machine code when unrolling a large ...

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A Comparison of Two Algorithms Involving Montgomery Modular Multiplication

A Comparison of Two Algorithms Involving Montgomery Modular Multiplication

... Montgomery modular multiplication ...Montgomery multiplication algorithm that uses a 4 X 1 multiplier for selection of operands that replaces long carry propagation ...a single Configurable ...

5

Design and Analysis Vlsi Architecture For Montgomery Modular Multiplication

Design and Analysis Vlsi Architecture For Montgomery Modular Multiplication

... the modular multiplication (MM) with the large integers is the most basic and tedious ...Montgomery multiplication is a quick calculation to figure the Montgomery item, changing the outcome out of ...

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Design of Montgomery Modular Multiplication with high Performance and Reduced Area.

Design of Montgomery Modular Multiplication with high Performance and Reduced Area.

... This paper proposes a basic and efficient Montgomery duplication calculation to such an extent that the ease and elite Montgomery particular multiplier can be actualized in like manner. The proposed multiplier gets and ...

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Faster Double-Size Modular Multiplication From Euclidean Multipliers

Faster Double-Size Modular Multiplication From Euclidean Multipliers

... integer multiplication (with a 2n-bit result), which may not be directly available on a crypto-processor like Infineon’s ACE where only n-bit modular operations —for n up to 1100— are ...a single ...
Matrix Multiplication Beyond Auto-Tuning: Rewrite-Based GPU Code Generation

Matrix Multiplication Beyond Auto-Tuning: Rewrite-Based GPU Code Generation

... a single work item might process multiple data ...matrix multiplication (and many other applications) it is common to specialize the OpenCL kernel so that it only works if a matching global size is selected ...

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A Systolic Hardware Architecture of Montgomery Modular Multiplication for Public Key Cryptosystems

A Systolic Hardware Architecture of Montgomery Modular Multiplication for Public Key Cryptosystems

... Montgomery modular multiplication is mostly used in the field public-key ...Montgomery modular multiplication algorithm when employing enough processing ...any precision of ...

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