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Hidden Field Equations
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1	On the mathematical structure and hidden symmetries of the Born-Infeld field equations Diego Julio Cirilo-Lombardo JINR University, Russian federation Add to Reading List Source URL: xtsunxet.usc.es Language: English - Date: 2007-03-09 06:01:49 Physics Theoretical physics Symmetry Philosophy of physics Field Quaternion Equation BornInfeld model
2	Introduction The MQ Problem Polynomial Equivalence Problems Add to Reading List Source URL: caramba.loria.fr Language: English - Date: 2016-06-13 15:37:32 Cryptography Multivariate cryptography Hidden Field Equations Polynomial IP Quadratic
3	MQ Challenge: Hardness Evaluation of Solving MQ problems Add to Reading List Source URL: csrc.nist.gov Language: English - Date: 2015-04-09 11:40:15 Mathematics Computer algebra Finite fields Algebraic geometry Hidden Field Equations Commutative algebra QUAD Polynomial Unbalanced Oil and Vinegar Abstract algebra Algebra Post-quantum cryptography
4	Public-Key Cryptography from Different Assumptions Benny Applebaum∗ Boaz Barak† Avi Wigderson‡ Add to Reading List Source URL: www.boazbarak.org Language: English - Date: 2011-10-10 23:51:30 Electronic commerce Computational hardness assumptions Hidden Field Equations Pseudorandom generator RSA XTR Learning with errors Clique problem One-way function Cryptography Finite fields Public-key cryptography
5	PDF Document Add to Reading List Source URL: csrc.nist.gov Language: English - Date: 2015-04-09 09:56:04 Post-quantum cryptography Finite fields Cryptography Multivariate cryptography Hidden Field Equations Polynomial QUAD Vector space Unbalanced Oil and Vinegar Algebra Abstract algebra Mathematics
6	Equivalent Keys in HFE, C∗ , and variations Christopher Wolf and Bart Preneel K.U.Leuven ESAT-COSIC Kasteelpark Arenberg 10, B-3001 Leuven-Heverlee, Belgium {Christopher.Wolf,Bart.Preneel}@esat.kuleuven.ac.be or chris@ Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2005-08-09 08:01:38 Post-quantum cryptography Finite fields Hidden Field Equations Affine geometry Affine transformation Parity of a permutation Abstract algebra Geometry Mathematics
7	Superfluous Keys in Multivariate Quadratic Asymmetric Systems Christopher Wolf and Bart Preneel K.U.Leuven ESAT-COSIC Kasteelpark Arenberg 10, B-3001 Leuven-Heverlee, Belgium {Christopher.Wolf,Bart.Preneel}@esat.kuleuven Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2005-01-28 03:37:27 Hidden Field Equations Unbalanced Oil and Vinegar Affine transformation Quadratic polynomial Vector space Polynomial Multivariate cryptography Algebraic geometry Algebra Mathematics Post-quantum cryptography
8	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 Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2005-12-22 06:53:55 Finite 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
9	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 Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2004-12-09 16:39:00 Polynomials Quadratic polynomial Quadratic form Homogeneous polynomial Quadratic equation Hidden Field Equations Multivariate cryptography Algebra Mathematics Post-quantum cryptography
10	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. . Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2011-12-20 02:54:57 Hidden Field Equations Cryptography Post-quantum cryptography Public-key cryptography