搜索结果: 1-8 共查到“军事学 ECM”相关记录8条 . 查询时间(0.062 秒)
Faster cofactorization with ECM using mixed representations
factoring Elliptic Curve Method cofactorization
2018/7/16
This paper introduces a novel implementation of the elliptic curve factoring method specifically designed for medium-size integers such as those arising by billions in the cofactorization step of the ...
We provide a new family of elliptic curves that results in a one to two percent performance improvement of the elliptic curve integer factorization method. The speedup is confirmed by extensive tests ...
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 ...
Pushing the Limits of ECM
implementation Elliptic curve method Integer factorization Cell processor PlayStation 3 Mersenne numbers
2010/7/14
This paper describes our implementation of phase one of the elliptic curve method on the Cell processor and reports on actual record factors obtained. Our implementation uses a new and particularly ef...
ECM on Graphics Cards
Factorization graphics processing unit modular arithmetic elliptic curves
2009/6/10
This paper reports record-setting performance for the ellipticcurve
method of integer factorization: for example, 926.11 curves/second
for ECM stage 1 with B1 = 8192 for 280-bit integers on a single...
This paper introduces GMP-EECM, a fast implementation
of the elliptic-curve method of factoring integers. GMP-EECM is based
on, but faster and more e ective than, the well-known GMP-ECM soft-
ware....
APPLICATION OF ECM TO A CLASS OF RSA KEYS
RSA cryptosystem Continued fractions Coppersmith's algorithm Elliptic
2008/12/5
The RSA cryptosystem was invented by Rivest, Shamir and Adleman [15] in 1978 and
is currently the most widely known and widely used public key cryptosystem. Let p,
q be large distinct primes of the ...
A main obstacle in manufacturing the TWIRL device for
realizing the sieving step of the Number Field Sieve is the sophisticated
chip layout. Especially the logic for logging and recovering large pri...