## Bounds on the efficiency of “blackbox” commitment schemes (2005)

Venue: | 32nd ICALP |

Citations: | 7 - 0 self |

### BibTeX

@INPROCEEDINGS{Horvitz05boundson,

author = {Omer Horvitz and Jonathan Katz},

title = {Bounds on the efficiency of “blackbox” commitment schemes},

booktitle = {32nd ICALP},

year = {2005},

pages = {128--139}

}

### OpenURL

### Abstract

Constructions of cryptographic primitives based on general assumptions (e.g., one-way functions) tend to be less efficient than constructions based on specific (e.g., number-theoretic) assumptions. This has prompted a recent line of research aimed at investigating the best possible efficiency of (black-box) cryptographic constructions based on general assumptions. Here, we present bounds on the efficiency of statistically-binding commitment schemes constructed using black-box access to one-way permutations; our bounds are tight for the case of perfectly-binding schemes. Our bounds hold in an extension of the Impagliazzo-Rudich model: we show that any construction beating our bounds would imply the unconditional existence of a one-way function (from which a statisticallybinding commitment scheme could be constructed “from scratch”). Key words: Cryptography, commitment schemes