On small world semiplanes with generalised Schubert cells

DOI10.1007/s10440-007-9144-8zbMath1117.14050OpenAlexW1964205483MaRDI QIDQ2642616

Vasiliy A. Ustimenko, Vyacheslav M. Futorny

Publication date: 17 August 2007

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-007-9144-8

zbMATH Keywords

small world graphsapplications to cryptography and coding theorygeneralised Schubert cell

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Finite ground fields in algebraic geometry (14G15) Distance in graphs (05C12) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (7)

On the conjecture for the girth of the bipartite graph \(D(k,q)\) ⋮ On the girth of the bipartite graph \(D(k, q)\) ⋮ Girth of the algebraic bipartite graph \(D(k,q)\) ⋮ On the spectrum of Wenger graphs ⋮ On the girth cycles of the bipartite graph \(D(k, q)\) ⋮ On the family of cubical multivariate cryptosystems based on the algebraic graph over finite commutative rings of characteristic 2 ⋮ On the diameter of Wenger graphs

Uses Software

• CRYPTIM
• CRYPTALL

Cites Work

• A note on two problems in connexion with graphs
• Infinite dimensional Lie algebras. An introduction
• Explicit group-theoretical constructions of combinatorial schemes and their application to the design of expanders and concentrators
• Explicit constructions of graphs without short cycles and low density codes
• Extremal graphs with no \(C^{4,}\)s, \(C^{6,}\)s, or \(C^{10,}\)s
• On the varieties of parabolic subgroups, their generalizations and combinatorial applications
• Combinatorial flag varieties
• Geometry in Grassmannians and a generalization of the dilogarithm
• Graphs with special arcs and cryptography
• Expander graphs and their applications
• A recursive approach to low complexity codes
• A new series of dense graphs of high girth
• Algebraic aspects of cryptography. With an appendix on hyperelliptic curves by Alfred J. Menezes, Yi-Hong Wu, and Robert J. Zuccherato
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On small world semiplanes with generalised Schubert cells