Universal one-way hash functions and their cryptographic applications
STOC '89 Proceedings of the twenty-first annual ACM symposium on Theory of computing
Hash functions based on block ciphers: a synthetic approach
CRYPTO '93 Proceedings of the 13th annual international cryptology conference on Advances in cryptology
SAC '02 Revised Papers from the 9th Annual International Workshop on Selected Areas in Cryptography
Black-Box Analysis of the Block-Cipher-Based Hash-Function Constructions from PGV
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
Collision-Resistant Hashing: Towards Making UOWHFs Practical
CRYPTO '97 Proceedings of the 17th Annual International Cryptology Conference on Advances in Cryptology
Hash Functions: From Merkle-Damgård to Shoup
EUROCRYPT '01 Proceedings of the International Conference on the Theory and Application of Cryptographic Techniques: Advances in Cryptology
A Concrete Security Treatment of Symmetric Encryption
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
Provably-secure cryptographic hash functions
Provably-secure cryptographic hash functions
A composition theorem for universal one-way hash functions
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
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In 1993, Preneel, Govaerts and Vandewalle [11] considered 64 block cipher based hash functions (64 PGV-hash functions). In 2002, Black, Rogaway and Shrimpton [3] proved that 20 of 64 PGV-hash functions are collision resistant, assumed that a block cipher is a random block cipher. In 2002, Hirose [4] defined ACPA(Adaptive Chosen Plaintext Attack) model and ACPCA(Adaptive Chosen Plaintext/Ciphertext Attack) model and he showed that, for every PGV-hash function, there exist block ciphers secure against ACPA such that the PGV-hash function based on them is not a OWHF which has the properties of preimage resistance and second-preimage resistance. Recently, Lee et al. [6] generalized the definition of PGV-hash function into a hash family and showed that 42 of 64 PGV-hash families are collision resistant. In this paper, we show that, for every PGV-hash function, there exist block ciphers secure against ACPCA such that the PGV-hash family based on them is not a OWHF. We also show that, for every PGV-hash family, there exist block ciphers secure against ACPCA such that the PGV-hash family based on them is not a UOWHF.