Applied Algebra & Cryptography at the University of Cincinnati

 

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Recent AA&C Group Publications & Manuscripts

  • J. Ding, B-Y. Yang, New Differential Attacks on Rainbow-like Multivariate Signature and Improved Designs. Prepint, University of Cincinnati, Dec. 2007.
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  • J. Ding, J. E. Gower, and D. Schmidt. Zhuang-Zi: A New Algorithm for Solving Multivariate Polynomial Equations over a Finite Field. Submitted for publication, 13 pages, 2006.
  • J. Ding and J. E. Gower. Inoculating Multivariate Schemes Against Differential Attacks. To appear in the proceedings of PKC 2006, Springer, 2006.
  • J. Ding, J. E. Gower, and D. Schmidt. Multivariate Public Key Cryptosystems. Advances in Information Security book series, Springer, 2006.
  • Z. Wu, J. Ding, J. E. Gower, and D. Ye. Perturbed Hidden Matrix Cryptosystems. In the proceedings of the International Conference on Computational Science and Its Applications (ICCSA 2005), LNCS 3481:595-602, Springer, 2005.
  • J. Ding, J. E. Gower, D. Schmidt, C. Wolf, and Z. Yin. Complexity Estimates for the F4 Attack on the Perturbed Matsumoto-Imai Cryptosystem. In the proceedings of the Tenth IMA International Conference on Cryptography and Coding (CCC 2005), LNCS 3796:262-277, Springer, 2005.
  • J. Ding and D. Schmidt. Rainbow: A New Multivariable Polynomial Signature Scheme. Accepted for publication in the proceedings of ACNS 2005.
  • A. Diene, J. Ding, J. E. Gower, T. J. Hodges, and Z. Yin. Dimension of the Linearization Equations of the Matsumoto-Imai Cryptosystems. In the proceedings of the International Conference on Coding and Cryptography (WCC 2005), pp. 91--97, 2005.
  • J. Ding and D. Schmidt. Cryptanalysis of HFEv and the Internal Perturbation of HFE Cryptosystems. In PKC 2005, LNCS 3386:288--301.
  • J. Ding and Z. Yin. Cryptanalysis of TTS and Tame-Like Multivariable Signature Schemes. Presented and published in the Third International Workshop in Applied Public-Key Infrastructure 2004 (IWAP 2004).
  • J. Ding. A New Variant of the Matsumoto-Imai Cryptosystem Through Perturbation. In PKC 2004, LNCS 2947:305--318.
  • J. Ding and D. Schmidt. The New Implementation Schemes of the TTM Cryptosystem Are Not Secure. In Progress in Computer Science and Applied Logic, Vol. 23, pp. 113--127, Birkhäuser Verlag Basel, 2004.
  • J. Ding and D. Schmidt. Cryptanalysis of an Implementation Scheme of the Tamed Transformation Method Cryptosystem. In Journal of Algebra and Its Applications, Vol. 3, No. 3, pp. 273--282, September, 2004.
  • J. Ding and D. Schmidt. A Defect of the Implementation Schemes of the TTM Cryptosystem. Presented and published at the International Conference on Applied Cryptography and Network Security (ACNS 2003) by the International Communications and Information Security Association (ICISA).

Recent AA&C Group Presentations

  • L. Hu. Sequence Sets From Galois Rings and Elliptic Curves. Presented to the AA&C Group, University of Cincinnati, 22 June, 2005.
  • L. Hu. Pairings on Elliptic Curves. Presented to the AA&C Group, University of Cincinnati, 20--21 June, 2005.
  • J. Ding. Perturbation of Multivariable Public Key Cryptosystems. Presented at the Conference on Algebra and Its Applications, Ohio University, 26 March, 2005.
  • Z. Yin. Attack Complexity of the F4 on the Perturbed Matsumoto-Imai Cryptosystem. Presented at the Conference on Algebra and Its Applications, Ohio University, 23 March, 2005.
  • J. E. Gower. Dimension of the Linearization Equations of the Matsumoto-Imai Cryptosystems. Presented at WCC 2005, 14 March, 2005.
  • J. Ding. Internal Perturbation of Multivariate Public Key Cryptosystems. Presented at the CERIAS Security Seminar, 23 February, 2005.
  • Z. Wu, J. Ding, J. E. Gower, and D. Ye. Perturbed Hidden Matrix Cryptosystems. Accepted for presentation and publication at ISH 2005, May, 2005.

 

 

 

 

 

 

 

 


Questions? Please contact us.
The Applied Algebra & Cryptography Group
Department of Mathematical Sciences
839 Old Chemistry Building
University of Cincinnati
Cincinnati, OH 45221-0025
Phone: (513) 556-4050
Fax: (513) 556-3417

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