PGV-style block-cipher-based hash families and black-box analysis

Wonil Lee; Mridul Nandi; Palash Sarkar; Donghoon Chang; Sangjin Lee; Kouichi Sakurai

doi:10.1093/ietfec/E88-A.1.39

PGV-style block-cipher-based hash families and black-box analysis

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

Mathematical Informatics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In [1] it was proved that 20 of 64 PGV hash functions [2] based on block cipher are collision-resistant and one-way in the 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, aside from the previously reported 20 hash functions, we have 22 more collision-resistant and one-way hash families. As all these 42 families are keyed hash family, these are also target-collision-resistant. All these 42 hash families have tight upper and lower bounds on (target) collision-resistant and one-way-ness.

Original language	English
Pages (from-to)	39-48
Number of pages	10
Journal	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Volume	E88-A
Issue number	1
DOIs	https://doi.org/10.1093/ietfec/E88-A.1.39
Publication status	Published - Jan 2005

All Science Journal Classification (ASJC) codes

Signal Processing
Computer Graphics and Computer-Aided Design
Electrical and Electronic Engineering
Applied Mathematics

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10.1093/ietfec/E88-A.1.39

Cite this

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AU - Nandi, Mridul

AU - Sarkar, Palash

AU - Chang, Donghoon

AU - Lee, Sangjin

AU - Sakurai, Kouichi

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AB - In [1] it was proved that 20 of 64 PGV hash functions [2] based on block cipher are collision-resistant and one-way in the 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, aside from the previously reported 20 hash functions, we have 22 more collision-resistant and one-way hash families. As all these 42 families are keyed hash family, these are also target-collision-resistant. All these 42 hash families have tight upper and lower bounds on (target) collision-resistant and one-way-ness.

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PGV-style block-cipher-based hash families and black-box analysis

Abstract

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