In [1] it was proved that 20 of 64 PGV hash functions 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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Wonil LEE, Mridul NANDI, Palash SARKAR, Donghoon CHANG, Sangjin LEE, Kouichi SAKURAI, "PGV-Style Block-Cipher-Based Hash Families and Black-Box Analysis" in IEICE TRANSACTIONS on Fundamentals,
vol. E88-A, no. 1, pp. 39-48, January 2005, doi: 10.1093/ietfec/e88-a.1.39.
Abstract: In [1] it was proved that 20 of 64 PGV hash functions 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.1.39/_p
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@ARTICLE{e88-a_1_39,
author={Wonil LEE, Mridul NANDI, Palash SARKAR, Donghoon CHANG, Sangjin LEE, Kouichi SAKURAI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={PGV-Style Block-Cipher-Based Hash Families and Black-Box Analysis},
year={2005},
volume={E88-A},
number={1},
pages={39-48},
abstract={In [1] it was proved that 20 of 64 PGV hash functions 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.},
keywords={},
doi={10.1093/ietfec/e88-a.1.39},
ISSN={},
month={January},}
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TY - JOUR
TI - PGV-Style Block-Cipher-Based Hash Families and Black-Box Analysis
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 39
EP - 48
AU - Wonil LEE
AU - Mridul NANDI
AU - Palash SARKAR
AU - Donghoon CHANG
AU - Sangjin LEE
AU - Kouichi SAKURAI
PY - 2005
DO - 10.1093/ietfec/e88-a.1.39
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2005
AB - In [1] it was proved that 20 of 64 PGV hash functions 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.
ER -