UTCS Colloquium: Susan Hohenberger/Johns Hopkins University: "Short Signatures from Standard Assumptions" TAY 3.128, Friday, April 17, 2009 11:00 a.m.
Type of Talk: UTCS Colloquium
on: Susan Hohenberger/John Hopkins University
; Friday, April 17, 2009 11:00
Location: TAY 3.128
Host: David Zuckerman
Talk Title: "Short Sig
natures from Standard Assumptions"
signatures are fundamental for modern authentication. Currently, a
lmost all ``short'''' signatures rely on the random oracle heuristic or dep
end upon strong (and relatively new) complexity assumptions.
In this talk, we present new short signature schemes in the standard model
(i.e., without random oracles) based upon the traditional RSA and Computa
tional Diffie-Hellman assumptions.
Our construction method takes
two different approaches. First, we show how to realize the
se signatures in a stateful setting, where the signer must store and assoc
iate each signature with an index that represents how many signatures that
signer has issued up to that point. In this setting, we real
ize two new short signature schemes under the RSA assumption and Computatio
nal Diffie-Hellman assumption in bilinear groups.
Next, we remo
ve the need for the signer to keep state, by developing a new proof techni
que that allows the simulator to predict a prefix of the message on which t
he adversary will forge, and then use this knowledge to embed the challeng
e. In this setting, we develop a signature secure under the
RSA assumption, which requires only one element of Zn* and one integer.&nb
sp; We also provide an entirely new security analysis for the Waters signa
tures, which are secure under the CDH assumption in bilinear groups.
Susan Hohenberger is an Assistant Professor at Johns Ho
pkins University. She received a Ph.D. from MIT in 200
6, where she was advised by Ronald Rivest, and a B.S. from The Ohio State
University in 2000. Prior to joining Hopkins, she completed
a post-doc at IBM Zurich Research. Susan''s primary research
interests are in cryptography and computer security. She is
a recipient of a 2008 Microsoft Research New Faculty Fellowship.
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