[Resource Topic] 2004/069: A Generalization of PGV-Hash Functions and Security Analysis in Black-Box Model

Welcome to the resource topic for 2004/069

Title:
A Generalization of PGV-Hash Functions and Security Analysis in Black-Box Model

Authors: Wonil Lee, Mridul Nandi, Palash Sarkar, Donghoon Chang, Sangjin Lee, Kouichi Sakurai

Abstract:

In~\cite{B02} it was proved that 20 out of 64 PGV-hash
functions~\cite{P94} based on block cipher are collision resistant
and one-way-secure in black-box model of the underlying block
cipher. Here, we generalize the definition of PGV-hash function
into a hash family and we will prove that besides the previous 20
hash functions we have 22 more collision resistant and one-way
secure hash families. As all these 42 families are keyed hash
family, these become target collision resistant also. All these 42
hash families have tight upper and lower bounds on (target)
collision resistant and one-way-ness.

ePrint: https://eprint.iacr.org/2004/069

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