Paper 2006/336 Original: eprint.iacr.org/2006/336 ↗
High Order Linearization Equation (HOLE) Attack on Multivariate Public Key Cryptosystems
Abstract
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.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2006-10-05: last updated
- 2006-10-05: published
- Short URL
- https://ia.cr/2006/336
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2006/336,
author = {Jintai Ding and Lei Hu and Xuyun Nie and Jianyu li and John Wagner},
title = {High Order Linearization Equation (HOLE) Attack on Multivariate Public Key Cryptosystems},
howpublished = {Cryptology {ePrint} Archive, Paper 2006/336},
year = {2006},
url = {https://eprint.iacr.org/2006/336}
}