On tameness of Matsumoto-Imai central maps in three variables over the finite field \(\mathbb F_2\)

DOI10.3934/amc.2016002zbMath1402.94059OpenAlexW2347133515MaRDI QIDQ326290

Tsuyoshi Takagi, Hisayoshi Sato, Keisuke Hakuta

Publication date: 12 October 2016

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2016002

zbMATH Keywords

affine algebraic geometryMatsumoto-Imai cryptosystemmultivariate public key cryptosystemtame automorphismtriangular transformation method

Mathematics Subject Classification ID

Cryptography (94A60) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)

Uses Software

• FLASH

Cites Work

• Stably tame automorphisms
• On enumeration of polynomial equivalence classes and their application to MPKC
• Cryptanalysis of the Matsumoto and Imai public key scheme of EUROCRYPT '98
• Polynomial automorphisms and the Jacobian conjecture
• An application of algebraic geometry to encryption: tame transformation method
• Multivariate public key cryptosystems
• Hidden Fields Equations (HFE) and Isomorphisms of Polynomials (IP): Two New Families of Asymmetric Algorithms
• A new proof of the non-tameness of the Nagata automorphism from the point of view of the Sarkisov program
• Practical Cryptanalysis of SFLASH
• A public key system with signature and master key functions
• Poisson brackets and two-generated subalgebras of rings of polynomials
• The tame and the wild automorphisms of polynomial rings in three variables
• CRYPTANALYSIS OF AN IMPLEMENTATION SCHEME OF THE TAMED TRANSFORMATION METHOD CRYPTOSYSTEM
• Cryptanalysis of SFLASH with Slightly Modified Parameters
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