Agenda détail

Séminaire Orléans

Applications of group theory in Cyber security
Delaram Kahrobaei (CUNY)
Thursday 22 November 2012 14:00 -  Orléans -  Salle de Séminaire

Résumé :
Group-based cryptography has emerged as an exciting interdisciplinary area. My talk consists of two parts: In the first part I will talk about key exchange problems using algorithmic and computational problems in group theory and propose new platforms. Key exchange problems are of central interest in cryptology and cyber security. The basic aim is that two people who can only communicate via an insecure channel want to find a common secret key. There are many approaches available which try to solve this problem. I will mainly compare the number theoretic vs group theoretic approach. In the second part, I will talk about secret sharing schemes using group presentations (particularly small cancellation groups). A (t,n)-threshold secret sharing scheme is a method to distribute a secret among n participants in such a way that any t participants can recover the secret, but no t-1 participants can. Together with M.Habeeb and V.Shpilrain, we proposed two secret sharing schemes using non-abelian groups. The talk is aimed for general audience and accessible to students.

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