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The negation map can be used to speed up the Pollard rho method to compute discrete logarithms in groups of elliptic curves over finite fields. It is well known that the random walks used by Pollard rho when combined with the negation map get trapped in fr ...
Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2010
This paper reports on the factorization of the 768-bit number RSA-768 by the number field sieve factoring method and discusses some implications for RSA. ...
Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2010
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Meeting the requirements of NIST’s new cryptographic standard ‘Suite B Cryptography’ means phasing out usage of 1024-bit RSA and 160-bit Elliptic Curve Cryptography (ECC) by the year 2010. This write-up comments on the vulnerability of these systems to an ...
2009
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Traitor tracing schemes are cryptographically secure broadcast methods that allow identification of conspirators: if a pirate key is generated by k traitors out of a static set of l legitimate users, then all traitors can be identified given the pirate key ...
Springer Verlag2009
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We present a refined chosen-prefix collision construction for MD5 that allowed creation of a rogue Certification Authority (CA) certificate, based on a collision with a regular end-user website certificate provided by a commercial CA. Compared to the previ ...
Springer Verlag2009
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Recent attacks on standardised hash functions such as SHA1 have reawakened interest in design strategies based on techniques common in provable security. In presenting the VSH hash function, a design based on RSA-like modular exponentiation, the authors in ...
2006
Embedded systems are an established part of life. Their security requirements underline the importance of properly formulated, implemented, and enforced security policies throughout their life-cycle. Currently, security is just an afterthought, and most so ...
2008
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We describe how we reached a new factoring milestone by completing the first special number field sieve factorization of a number having more than 1024 bits, namely the Mersenne number 21039 -1. Although this factorization is orders of magnitude ...
We present a novel, automated way to find differential paths for MD5. As an application we have shown how, at an approximate expected cost of 2 50 calls to the MD5 compression function, for any two chosen message prefixes P and P′, suffixe ...
