Cryptography from the tropical Hessian pencil

DOI10.1515/gcc-2017-0002zbMath1362.14027OpenAlexW2606977322MaRDI QIDQ524642

Jean-Marie Chauvet, Eric Mahé

Publication date: 3 May 2017

Published in: Groups, Complexity, Cryptology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gcc-2017-0002

zbMATH Keywords

discrete dynamical systemselliptic curve cryptographytropical geometrykeyed hash function

Mathematics Subject Classification ID

Elliptic curves (14H52) Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems involving maps of the interval (37E05) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Cites Work

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• The Hesse pencil of plane cubic curves
• Key agreement under tropical parallels
• Analysis of a key exchange protocol based on tropical matrix algebra
• Algebraic entropy
• An ultradiscrete integrable map arising from a pair of tropical elliptic pencils
• Group actions on the tropical Hesse pencil
• Solvable chaos
• Minimalism in Cryptography: The Even-Mansour Scheme Revisited
• Efficient Arithmetic on Hessian Curves
• The group law on a tropical elliptic curve
• ULTRADISCRETIZATION OF A SOLVABLE TWO-DIMENSIONAL CHAOTIC MAP ASSOCIATED WITH THE HESSE CUBIC CURVE
• Tropical Cryptography

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