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HFERP - A New Multivariate Encryption Scheme [chapter]

Yasuhiko Ikematsu, Ray Perlner, Daniel Smith-Tone, Tsuyoshi Takagi, Jeremy Vates
2018 Lecture Notes in Computer Science  
We propose a related new encryption scheme retaining the desirable traits of SRP and patching its weaknesses.  ...  In 2016, Yasuda et al. presented a new multivariate encryption technique based on the Square and Rainbow primitives and utilizing the plus modifier that they called Square Rainbow Plus (SRP).  ...  The purpose of this article is to confront this challenge, advancing a new multivariate encryption scheme Hidden Field Equations Rainbow Plus (HFERP), based on Square Rainbow Plus (SRP), see [3] , developed  ... 
doi:10.1007/978-3-319-79063-3_19 fatcat:k4dnsr6vsbc7bofbifkttr3npm

Security Analysis Against "A New Encryption Scheme for Multivariate Quadratic Systems" [article]

Yasuhiko Ikematsu, Shuhei Nakamura
2020 IACR Cryptology ePrint Archive  
We consider the algebraic attack using a Gröbner basis algorithm for a new multivariate encryption scheme proposed by Jiahui Chen et al. at Theoretical Computer Science 2020.  ...  Their idea to construct a new scheme was to use the minus and plus modifiers to prevent known attacks, such as linearization attack.  ...  In 2020, Jiahui Chen et al. proposed a new multivariate encryption scheme [7] at Theoretical Computer Science.  ... 
dblp:journals/iacr/IkematsuN20 fatcat:saksb74tanbupneqzmhjochm7u

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

A Nonlinear Multivariate Cryptosystem Based on a Random Linear Code [article]

Daniel Smith-Tone, Cristina Tone
2019 IACR Cryptology ePrint Archive  
We introduce a new technique for building multivariate encryption schemes based on random linear codes. The construction is versatile, naturally admitting multiple modifications.  ...  In particular, even small scale secure multivariate signature schemes can be embedded producing reasonably efficient encryption schemes.  ...  In this work, we present a new multivariate encryption scheme inspired and derived from linear codes.  ... 
dblp:journals/iacr/Smith-ToneT19 fatcat:hlnzorgnjna35fgqbjq6h32ene

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