Abstract
This article aims at designing a new Multivariate Quadratic (MQ) public-key scheme to avoid the linearization attack and differential attack against the Matsumoto-Imai (MI) scheme. Based on the original scheme, our new scheme, named the Multi-layer MI (MMI) scheme, has a structure of multi-layer central map. Firstly, this article introduces the MI scheme and describes linearization attack and differential attack; then prescribes the designation of MMI in detail, and proves that MMI can resist both linearization attack and differential attack. Besides, this article also proves that MMI can resist recent eXtended Linearization (XL)-like methods. In the end, this article concludes that MMI also maintains the efficiency of MI.
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Supported by the National High Technology Research and Development Program of China (863 Program)(No. 2009-aa012201) and Key Library of Communication Technology (No. 9140C1103040902).
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Jiao, L., Li, Y. & Qiao, S. A new scheme based on the MI scheme and its analysis. J. Electron.(China) 30, 198–203 (2013). https://doi.org/10.1007/s11767-013-2153-z
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DOI: https://doi.org/10.1007/s11767-013-2153-z
Key words
- Multivariate Quadratic (MQ) Public-Key Cryptosystem (PKC)
- Matsumoto-Imai (MI)
- Central map
- Linearization attack
- Differential attack
- eXtended Linearization (XL)