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Multi-Property-Preserving Hash

Domain Extension:

The EMD Transform

Mihir Bellare and Thomas Ristenpart

UCSD Security and Cryptography Lab

NIST Second Cryptographic Hash Workshop

August, 2006

To appear in Asiacrypt 2006

and hash functions were keyed to build

message authentication codes...

[BCK96,Be06]

then used heuristically to

instantiate random oracles...

[BeR93]

Expanding utility of hash functions

and now-a-days get used for

numerous disparate applications.

In the beginning, hash functions were

designed for use in

digital signature schemes...

[Riv90]

Hash functions are used like

“Swiss Army Knives”

Whether hash function designers like it or not, hash

functions are (and will continue to be) used in

numerous different ways.

So what should hash function designers do?

Design hash functions to be

like

“Swiss Army Knives”

The goal:

Build hash functions to be secure for

as many applications as

possible

Current design paradigm insufﬁcient

1) Compression function

f

2) Compression function is

iterated using MD w/

strengthening

M0 M1 |M|

IV

f f f

H

f

(M)

All in-use hash functions use MD w/str.

because:

f is CR

⇒

H

f

is CR

But CR does not support usage for many settings!

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