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Recent Developments in Multivariate Public Key Cryptosystems [chapter]

Yasufumi Hashimoto
2020 Mathematics for Industry  
On the other hand, there are few multivariate encryption schemes expected to be practical and despite that, various new schemes have been proposed recently.  ...  In the present paper, we summarize multivariate schemes UOV, Rainbow, and (variants of) HFE generating the second round candidates and study the practicalities of several multivariate encryption schemes  ...  In Sect. 3, we discuss the practicalities of several new multivariate encryption schemes proposed recently.  ... 
doi:10.1007/978-981-15-5191-8_16 fatcat:b62b2eu5mzdjnmvyik2rewbyxu

The Secure Parameters and Efficient Decryption Algorithm for Multivariate Public Key Cryptosystem EFC

Yacheng WANG, Yasuhiko IKEMATSU, Dung Hoang DUONG, Tsuyoshi TAKAGI
2019 IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences  
At PQCrypto 2016, Szepieniec et al. proposed a new type of trapdoor called Extension Field Cancellation (EFC) for constructing secure multivariate encryption cryptosystems.  ...  They also specifically suggested two schemes EFC − p and EFC − p t 2 that apply this trapdoor and some modifiers.  ...  Construction of Multivariate Encryption Schemes To construct a multivariate encryption scheme, we need to design its private key, public key, encryption and decryption processes.  ... 
doi:10.1587/transfun.e102.a.1028 fatcat:whbl7o6tozewhjigmbwtknbuwa

Quantum Computing: A Taxonomy, Systematic Review and Future Directions [article]

Sukhpal Singh Gill, Adarsh Kumar, Harvinder Singh, Manmeet Singh, Kamalpreet Kaur, Muhammad Usman, Rajkumar Buyya
2021 arXiv   pre-print
solve a real-world problem much more efficiently than classical computing.  ...  This article presents a comprehensive review of quantum computing literature, and taxonomy of quantum computing.  ...  Cartor [190] discussed multivariate cryptography, the important direct algebraic attacks, differential techniques, and proposed a new multivariate encryption scheme.  ... 
arXiv:2010.15559v4 fatcat:y6cuttww5fd5jdmvcer352lh4e