2006 | OriginalPaper | Chapter
Cryptanalysis of Variants of UOV
Authors : Yuh-Hua Hu, Chun-Yen Chou, Lih-Chung Wang, Feipei Lai
Published in: Information Security
Publisher: Springer Berlin Heidelberg
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The Unbalanced Oil and Vinegar scheme (UOV) is a signature scheme based on multivariate quadratic equations. It has
o
oil variables and
v
vinegar variables. UOV has
m
equations and
n
variables, where
m
=
o
and
n
=
v
+
o
. In this paper, we define the weak key of UOV and study how to find the weak key from the public key. Second, we study the security when
m
>
o
. And our result shows that the security strengths of the current version of TTS, TRMS, Rainbow and MFE are 2
59
~2
67.6
3DES operations.