Multivariate cryptography

Results: 24



#Item
11Finite fields / Hidden Field Equations / Mathematics / Affine geometry / Affine transformation / Unbalanced Oil and Vinegar / Differential geometry / Multivariate cryptography / Frobenius group / Post-quantum cryptography / Geometry / Abstract algebra

Equivalent Keys in Multivariate Quadratic Public Key Systems Christopher Wolf1,2 , and Bart Preneel1 1 K.U.Leuven, ESAT-COSIC Kasteelpark Arenberg 10, B-3001 Leuven-Heverlee, Belgium

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Source URL: eprint.iacr.org

Language: English - Date: 2005-12-22 06:53:55
12Polynomials / Quadratic polynomial / Quadratic form / Homogeneous polynomial / Quadratic equation / Hidden Field Equations / Multivariate cryptography / Algebra / Mathematics / Post-quantum cryptography

MULTIVARIABLE PUBLIC–KEY CRYPTOSYSTEMS JINTAI DING, DIETER SCHMIDT Keywords: public-key, multivariable polynomials 1. Introduction Recently Landau and Diffie gave in a series of articles in the Notices of

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Source URL: eprint.iacr.org

Language: English - Date: 2004-12-09 16:39:00
13Hidden Field Equations / Cryptography / Post-quantum cryptography / Public-key cryptography

A New Class of Multivariate Public Key Cryptosystem Constructed on the Basis of Message-Dependent Transformation Masao KASAHARA Faculty of Informatics, Osaka Gakuin University, Suita-shi, Japan. .

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Source URL: eprint.iacr.org

Language: English - Date: 2011-12-20 02:54:57
14Polynomials / Post-quantum cryptography / Computer algebra / Finite fields / Algebraic geometry / Hidden Field Equations / Multivariate cryptography / Gröbner basis / Field extension / Abstract algebra / Algebra / Mathematics

A Family of Weak Keys in HFE (and the Corresponding Practical Key-Recovery) Charles Bouillaguet1 , Pierre-Alain Fouque1 , Antoine Joux2,3 , and Joana Treger2 1 Ecole Normale Supérieure

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Source URL: eprint.iacr.org

Language: English - Date: 2009-12-15 10:42:41
15Finite fields / Hidden Field Equations / Quantum information science / QUAD / RSA / Quantum cryptography / Multivariate cryptography / Cryptography / Public-key cryptography / Post-quantum cryptography

非可換性を利用した多変数多項式電子署名

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Source URL: csrc.nist.gov

Language: English - Date: 2015-04-03 09:32:25
16Algebraic geometry / QUAD / Polynomials / Hidden Field Equations / XTR / System of polynomial equations / Quadratic / NP / XSL attack / Mathematics / Finite fields / Post-quantum cryptography

MQ Challenge: Hardness Evaluation of Solving Multivariate Quadratic Problems ⋆ Takanori Yasuda1 , Xavier Dahan1,6 , Yun-Ju Huang1,2 , Tsuyoshi Takagi1,3,4 , and Kouichi Sakurai1,5 1

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Source URL: eprint.iacr.org

Language: English - Date: 2015-03-26 06:14:31
17Electronic commerce / Hidden Field Equations / RSA / QUAD / Key / Cryptographic hash function / Polynomial / Cryptography / Public-key cryptography / Post-quantum cryptography

Multivariate Quadratic Hash Jintai Ding*, Bo-yin Yang** University of Cincinnati* Technical University of Darmstadt* Institute of Information Science, Academia Sinica**

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Source URL: www.fields.utoronto.ca

Language: English - Date: 2006-12-04 11:51:29
18Statistics / Learning with errors / Normal distribution / Multivariate random variable / Proof of knowledge / Commitment scheme / Lattice problem / Vector space / Euclidean algorithm / Algebra / Mathematics / Cryptography

ISSN[removed]Research Reports on Mathematical and Computing Sciences

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Source URL: xagawa.net

Language: English - Date: 2010-01-23 11:51:07
19Multivariate cryptography / QUAD / Unbalanced Oil and Vinegar / RSA / Proj construction / Hidden Field Equations / Cryptography / Post-quantum cryptography / Public-key cryptography

Selecting Parameters for the Rainbow Signature Scheme - Extended Version Albrecht Petzoldt1 , Stanislav Bulygin2 , and Johannes Buchmann1,2 1 Technische Universit¨ at Darmstadt, Department of Computer Science

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Source URL: eprint.iacr.org

Language: English - Date: 2010-08-11 08:28:07
20Post-quantum cryptography / Algebraic geometry / Cryptography / Multivariate cryptography / Finite fields / Polynomials / QUAD / Monomial / XTR / Algebra / Abstract algebra / Mathematics

Efficient Implementations of Multivariate Quadratic Systems

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Source URL: crypto.rd.francetelecom.com

Language: English - Date: 2009-09-02 11:51:02
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