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2017 | OriginalPaper | Buchkapitel

Factoring as a Service

verfasst von : Luke Valenta, Shaanan Cohney, Alex Liao, Joshua Fried, Satya Bodduluri, Nadia Heninger

Erschienen in: Financial Cryptography and Data Security

Verlag: Springer Berlin Heidelberg

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Abstract

The difficulty of integer factorization is fundamental to modern cryptographic security using RSA encryption and signatures. Although a 512-bit RSA modulus was first factored in 1999, 512-bit RSA remains surprisingly common in practice across many cryptographic protocols. Popular understanding of the difficulty of 512-bit factorization does not seem to have kept pace with developments in computing power. In this paper, we optimize the CADO-NFS and Msieve implementations of the number field sieve for use on the Amazon Elastic Compute Cloud platform, allowing a non-expert to factor 512-bit RSA public keys in under four hours for $75. We go on to survey the RSA key sizes used in popular protocols, finding hundreds or thousands of deployed 512-bit RSA keys in DNSSEC, HTTPS, IMAP, POP3, SMTP, DKIM, SSH, and PGP.

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Titel: Factoring as a Service
verfasst von: Luke Valenta
Shaanan Cohney
Alex Liao
Joshua Fried
Satya Bodduluri
Nadia Heninger
Verlag: Springer Berlin Heidelberg
Buch: Financial Cryptography and Data Security
Print ISBN: 978-3-662-54969-8

Electronic ISBN: 978-3-662-54970-4

Copyright-Jahr: 2017
DOI: https://doi.org/10.1007/978-3-662-54970-4_19

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