STOC '90 Proceedings of the twenty-second annual ACM symposium on Theory of computing
Algebraic aspects of cryptography
Algebraic aspects of cryptography
A method for obtaining digital signatures and public-key cryptosystems
Communications of the ACM
ACISP '97 Proceedings of the Second Australasian Conference on Information Security and Privacy
CRYPTO '00 Proceedings of the 20th Annual International Cryptology Conference on Advances in Cryptology
A Design Principle for Hash Functions
CRYPTO '89 Proceedings of the 9th Annual International Cryptology Conference on Advances in Cryptology
CRYPTO '89 Proceedings of the 9th Annual International Cryptology Conference on Advances in Cryptology
On the Security of VSH in Password Schemes
ARES '08 Proceedings of the 2008 Third International Conference on Availability, Reliability and Security
Chosen-Prefix Collisions for MD5 and Colliding X.509 Certificates for Different Identities
EUROCRYPT '07 Proceedings of the 26th annual international conference on Advances in Cryptology
Preimages for Reduced SHA-0 and SHA-1
CRYPTO 2008 Proceedings of the 28th Annual conference on Cryptology: Advances in Cryptology
Hash Functions from Sigma Protocols and Improvements to VSH
ASIACRYPT '08 Proceedings of the 14th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
The State of Hash Functions and the NIST SHA-3 Competition
Information Security and Cryptology
Discrete logarithm variants of VSH
VIETCRYPT'06 Proceedings of the First international conference on Cryptology in Vietnam
Security of VSH in the real world
INDOCRYPT'06 Proceedings of the 7th international conference on Cryptology in India
Finding collisions in the full SHA-1
CRYPTO'05 Proceedings of the 25th annual international conference on Advances in Cryptology
How to break MD5 and other hash functions
EUROCRYPT'05 Proceedings of the 24th annual international conference on Theory and Applications of Cryptographic Techniques
VSH, an efficient and provable collision-resistant hash function
EUROCRYPT'06 Proceedings of the 24th annual international conference on The Theory and Applications of Cryptographic Techniques
Herding hash functions and the nostradamus attack
EUROCRYPT'06 Proceedings of the 24th annual international conference on The Theory and Applications of Cryptographic Techniques
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In this paper, we show that some new variants of the Very Smooth Hash (VSH) hash function are susceptible to similar types of preimage attacks as the original VSH. We also generalise the previous mathematical results, which have been used in the preimage attacks. VSH is a hash function based on the multiexponentiation of prime numbers modulo some large product of two primes. The security proof of VSH is based on some computational problems in number theory, which are related to the problem of factoring large integers. However, the preimage resistance of VSH has been studied and found somewhat lacking especially in password protection. There have been many different variants of VSH proposed by the original authors and others. Especially the discrete logarithm version of VSH has been proposed in order to make the hash values shorter. Further proposals have used the discrete logarithm in finite fields and elliptic curves to gain even more advantage to the hash length. Our results demonstrate that even for these new variants, the same ideas for preimage attacks can be applied as for the original VSH and they result in effective preimage attacks.