On the flag geometry of simple group of Lie type and multivariate cryptography

• Published in: Algebra and Discrete Mathematics
• Date: 2015
• Main Author: Ustimenko, V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152794
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the flag geometry of simple group of Lie type and multivariate cryptography / V. Ustimenko // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 1. — С. 130-144. — Бібліогр.: 18 назв. — англ.

We propose some multivariate cryptosystems based on finite BN-pair G defined over the fields Fq. We convert the adjacency graph for maximal flags of the geometry of group G into a finite Tits automaton by special colouring of arrows and treat the largest Schubert cell Sch isomorphic to vector space...