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Embedded Surface Attack on Multivariate Public Key Cryptosystems from Diophantine Equations

Jintai Ding Chongqing University; University of Cincinnati Ai Ren University of Cincinnati Chengdong Tao South China University of Technology

TBD mathscidoc:2207.43058

Inscrypt 2012, 122–136, 2012.11
Let X = (x_1,..,x_n) and Y = (y_1,...,y_m) be a pair of corresponding plaintext and ciphertext for a cryptosystem. We define an embedded surface of this cryptosystem as any polynomial equation: E(X,Y)=E(x_1,..,x_n,y_1,...,y_m)=0, which is satisfied by all such pairs. In this paper, we present a new attack on the multivariate public key cryptosystems from Diophantine equations developed by Gao and Heindl by using the embedded surfaces associated to this family of multivariate cryptosystems.
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@inproceedings{jintai2012embedded,
  title={Embedded Surface Attack on Multivariate Public Key Cryptosystems from Diophantine Equations},
  author={Jintai Ding, Ai Ren, and Chengdong Tao},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220714135639122196635},
  booktitle={Inscrypt 2012},
  pages={122–136},
  year={2012},
}
Jintai Ding, Ai Ren, and Chengdong Tao. Embedded Surface Attack on Multivariate Public Key Cryptosystems from Diophantine Equations. 2012. In Inscrypt 2012. pp.122–136. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220714135639122196635.
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