On the key exchange with new cubical maps based on graphs

DOI10.2478/v10065-011-0038-zzbMath1283.94103OpenAlexW2151951054MaRDI QIDQ5406681

Urszula Romańczuk, Vasiliy A. Ustimenko

Publication date: 2 April 2014

Published in: Annales UMCS, Informatica (Search for Journal in Brave)

Full work available at URL: http://journals.umcs.pl/ai/article/view/3328

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Applications of graph theory (05C90) Authentication, digital signatures and secret sharing (94A62)

Related Items (4)

On New Examples of Families of Multivariate Stable Maps and their Cryptographical Applications ⋮ On the comparison of cryptographical properties of two different families of graphs with large cycle indicator ⋮ On the family of cubical multivariate cryptosystems based on the algebraic graph over finite commutative rings of characteristic 2 ⋮ On Dynamical Systems of Large Girth or Cycle Indicator and Their Applications to Multivariate Cryptography

Uses Software

• CRYPTIM

Cites Work

• On the homogeneous algebraic graphs of large girth and their applications
• On the varieties of parabolic subgroups, their generalizations and combinatorial applications
• Graphs with special arcs and cryptography
• On the key exchange with nonlinear polynomial maps of stable degree
• Permutation Groups Containing Affine Groups of the Same Degree
• Algebraic Graph Theory
• Algebraic aspects of cryptography. With an appendix on hyperelliptic curves by Alfred J. Menezes, Yi-Hong Wu, and Robert J. Zuccherato
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