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Hidden Field Equations

Hidden Fields Equations (HFE), also known as HFE trapdoor function, is a public key cryptosystem which was introduced at Eurocrypt in 1996 and proposed by (in French) Jacques Patarin following the idea of the Matsumoto and Imai system. It is based on polynomials over finite fields F q {\displaystyle \mathbb {F} _{q}} of different size to disguise the…

Mathematical background, Multivariate cryptosystem & HFE attacks

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Mathematical background

BasisGcdVector spaceLinearLinear algebra
5 related topics

Multivariate cryptosystem

PolynomialFinite fieldDecryptionSignatureAffine transformations
5 related topics

HFE attacks

FaugèreGröbner basisJoux
3 related topics

HFE variations

Adi ShamirEncryption
2 related topics

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Overview

Mathematical background

Multivariate cryptosystem

HFE polynomial

HFE variations

HFE attacks

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Hidden Field Equations

Nodes33
Edges32
Triples21
Avg. degree1.94
Density0.060606
Components1

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Hidden Field Equations

Top relations

related to References · 14
Hidden Field Equations → Courtois, Desmet, EIDMA Seminar, HFE, HFEv, ISBN, Magnus Daum, Nicolas, On, Patrick Felke, Public Key Cryptography-PKC, QuartzAndrey Sidorenko, Security, Technische Universiteit EindhovenYvo
related to background · 6
Hidden Field Equations → Consider, In, Let, One, The, We
related to HFE variations · 1
Hidden Field Equations → The

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Important terminology

displaystyle mathbb hfe equations polynomial polynomials key basis private field public system quadratic degree basic hidden encryption multivariate cryptosystem since

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SubjectPredicateObjectConfidenceSrc
Hidden Field Equationsrelated to backgroundOne0.60section
Hidden Field Equationsrelated to backgroundIn0.60section
Hidden Field Equationsrelated to backgroundWe0.60section
Hidden Field Equationsrelated to backgroundConsider0.60section
Hidden Field Equationsrelated to backgroundLet0.60section
Hidden Field Equationsrelated to backgroundThe0.60section
Hidden Field Equationsrelated to HFE variationsThe0.60section
Hidden Field Equationsrelated to ReferencesNicolas0.60section
Hidden Field Equationsrelated to ReferencesCourtois0.60section
Hidden Field Equationsrelated to ReferencesMagnus Daum0.60section
Hidden Field Equationsrelated to ReferencesPatrick Felke0.60section
Hidden Field Equationsrelated to ReferencesOn0.60section

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