ECM at Work View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2012

AUTHORS

Joppe W. Bos , Thorsten Kleinjung

ABSTRACT

The performance of the elliptic curve method (ECM) for integer factorization plays an important role in the security assessment of RSA-based protocols as a cofactorization tool inside the number field sieve. The efficient arithmetic for Edwards curves found an application by speeding up ECM. We propose techniques based on generating and combining addition-subtracting chains to optimize Edwards ECM in terms of both performance and memory requirements. This makes our approach very suitable for memory-constrained devices such as graphics processing units (GPU). For commonly used ECM parameters we are able to lower the required memory up to a factor 55 compared to the state-of-the-art Edwards ECM approach. Our ECM implementation on a GTX 580 GPU sets a new throughput record, outperforming the best GPU, CPU and FPGA results reported in literature. More... »

PAGES

467-484

Book

TITLE

Advances in Cryptology – ASIACRYPT 2012

ISBN

978-3-642-34960-7
978-3-642-34961-4

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-34961-4_29

DOI

http://dx.doi.org/10.1007/978-3-642-34961-4_29

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1016961643


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