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Square, a New Multivariate Encryption Scheme

Crystal Clough Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45220, USA John Baena Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45220, USA; Universidad Nacional de Colombia, Carrera 65, Medell´ın, Colombia Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45220, USA; College of Sciences, South China University of Technology, Guangzhou, China Bo-Yin Yang Institute of Information Science, Academia Sinica, Taipei, Taiwan Ming-shing Chen Institute of Information Science, Academia Sinica, Taipei, Taiwan

TBD mathscidoc:2207.43043

CT-RSA 2009, 252–264, 2009.4
We propose and analyze a multivariate encryption scheme that uses odd characteristic and an embedding in its construction. This system has a very simple core map F(X) = X^2, allowing for efficient decryption. We also discuss ways to make this decryption faster with specific parameter choices. We give heuristic arguments along with experimental data to show that this scheme resists all known attacks.
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@inproceedings{crystal2009square,,
  title={Square, a New Multivariate Encryption Scheme},
  author={Crystal Clough, John Baena, Jintai Ding, Bo-Yin Yang, and Ming-shing Chen},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220714104555227278620},
  booktitle={CT-RSA 2009},
  pages={252–264},
  year={2009},
}
Crystal Clough, John Baena, Jintai Ding, Bo-Yin Yang, and Ming-shing Chen. Square, a New Multivariate Encryption Scheme. 2009. In CT-RSA 2009. pp.252–264. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220714104555227278620.
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