On Dynamical Systems of Large Girth or Cycle Indicator and Their Applications to Multivariate Cryptography

DOI10.1007/978-3-642-29694-9_10zbMath1277.94039OpenAlexW2216961322MaRDI QIDQ2866111

Urszula Romańczuk, Vasiliy A. Ustimenko

Publication date: 13 December 2013

Published in: Studies in Computational Intelligence (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-29694-9_10

zbMATH Keywords

cryptographydiscrete logarithm problemsymbolic computationsCremona groupsalgebraic transformations over commutative ringsdynamical systems of large cycle indicatordynamical systems of large girth

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items

On Multivariate Cryptosystems Based on Computable Maps with Invertible Decomposition ⋮ On New Examples of Families of Multivariate Stable Maps and their Cryptographical Applications ⋮ On families of graphs of large cycle indicator, matrices of large order and key exchange protocols with nonlinear polynomial maps of small degree ⋮ On the comparison of cryptographical properties of two different families of graphs with large cycle indicator

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