International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Jianyu Li

Publications

Year
Venue
Title
2007
PKC
2006
EPRINT
High Order Linearization Equation (HOLE) Attack on Multivariate Public Key Cryptosystems
In the CT-track of the 2006 RSA conference, a new multivariate public key cryptosystem, which is called the Medium Field Equation (MFE) multivariate public key cryptosystem, is proposed by Wang, Yang, Hu and Lai. We use the second order linearization equation attack method by Patarin to break MFE. Given a ciphertext, we can derive the plaintext within $2^{23}$ $\F_{2^{16}}$-operations, after performing once for any public key a computation of complexity less than $2^{52}$. We also propose a high order linearization equation (HOLE) attack on multivariate public key cryptosystems, which is a further generalization of the (first and second order) linearization equation (LE). This method can be used to attack extensions of the current MFE.

Coauthors

Jintai Ding (2)
Lei Hu (2)
Xuyun Nie (2)
John Wagner (2)