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The Cubic Simple Matrix Encryption Scheme

Jintai Ding University of Cincinnati, Ohio, USA and Academia Sinica, Taiwan Albrecht Petzoldt TU Darmstadt, Germany Lih-chung Wang National Dong Hwa University, Taiwan

TBD mathscidoc:2207.43067

PQCrypto 2014, 76–87, 2014.10
In this paper, we propose an improved version of the Simple Matrix encryption scheme of PQCrypto2013. The main goal of our construction is to build a system with even stronger security claims. By using square matrices with random quadratic polynomials, we can claim that breaking the system using algebraic attacks is at least as hard as solving a set of random quadratic equations. Furthermore, due to the use of random polynomials in the matrix A, Rank attacks against our scheme are not feasible.
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@inproceedings{jintai2014the,
  title={The Cubic Simple Matrix Encryption Scheme},
  author={Jintai Ding, Albrecht Petzoldt, and Lih-chung Wang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220714142750467630644},
  booktitle={PQCrypto 2014},
  pages={76–87},
  year={2014},
}
Jintai Ding, Albrecht Petzoldt, and Lih-chung Wang. The Cubic Simple Matrix Encryption Scheme. 2014. In PQCrypto 2014. pp.76–87. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220714142750467630644.
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