[Resource Topic] 2005/070: On public-key cryptosystems based on combinatorial group theory

Welcome to the resource topic for 2005/070

Title:
On public-key cryptosystems based on combinatorial group theory

Authors: Jean-Camille Birget, Spyros S. Magliveras, Michal Sramka

Abstract:

We analyze and critique the public-key cryptosystem, based on
combinatorial group theory, that was proposed by Wagner and
Magyarik in 1984. This idea is actually not based on the word
problem but on another, generally easier, premise problem.
Moreover, the idea of the Wagner-Magyarik system is vague, and
it is difficult to find a secure realization of this idea. We
describe a public-key cryptosystem inspired in part by the
Wagner-Magyarik idea, but we also use group actions on words.

ePrint: https://eprint.iacr.org/2005/070

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