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Faster Modular Arithmetic For Isogeny Based Crypto on Embedded Devices
public-key cryptography Embedded Devices
2018/9/6
We show how to implement the Montgomery reduction algorithm for isogeny based cryptography such that it can utilize the "unsigned multiply accumulate accumulate long" instruction present on modern ARM...
Fast Modular Arithmetic on the Kalray MPPA-256 Processor for an Energy-Efficient Implementation of ECM
Kalray MPPA-256 manycore processor Multiprecision modular arithmetic Integer factorization
2016/4/13
The Kalray MPPA-256 processor is based on a recent low-energy manycore architecture. In this article, we investigate its performance in multiprecision arithmetic for number-theoretic applications. We ...
Efficient Modular Arithmetic for SIMD Devices
Fast Modular Arithmetic Improvements of Montgomery Reduction
2014/3/7
This paper describes several new improvements of modular arithmetic and how to exploit them in order to gain more efficient implementations of commonly used algorithms, especially in cryptographic app...
A coprocessor for secure and high speed modular arithmetic
countermeasure fault analysis side channel analysis high speed RNS FPGA
2011/7/25
We present a coprocessor design for fast arithmetic over large numbers of cryptographic sizes. Our design provides a efficient way to prevent side channel analysis as well as fault analysis targeting ...
A coprocessor for secure and high speed modular arithmetic
implementation / FPGA side channel analysis fault analysis countermeasure RNS
2012/3/27
We present a coprocessor design for fast arithmetic over large numbers of cryptographic sizes. Our design provides a efficient way to prevent side channel analysis as well as fault analysis targeting ...