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Prikl. Diskr. Mat., 2012, Number 3(17), Pages 13–24 (Mi pdm374)  

Theoretical Foundations of Applied Discrete Mathematics

On constructing possibly one-way functions based on the non-decidability of the endomorphism problem in groups

S. Y. Erofeev, V. A. Romankov

Omsk State University, Omsk, Russia

Abstract: The paper considers a schema for constructing a possibly one-way function on a group with the decidable word problem and undecidable endomorphism problem. Possible prerequisites for reliability of the proposed schema are analyzed. A corresponding authentication protocol with zero knowledge is proposed as an application. It is noted that for its security a more strong assumption on the undecidability of the two-level endomorphism problem is needed.

Keywords: one-way function, endomorphism problem, authentication protocol.

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UDC: 512.62

Citation: S. Y. Erofeev, V. A. Romankov, “On constructing possibly one-way functions based on the non-decidability of the endomorphism problem in groups”, Prikl. Diskr. Mat., 2012, no. 3(17), 13–24

Citation in format AMSBIB
\Bibitem{EroRom12}
\by S.~Y.~Erofeev, V.~A.~Romankov
\paper On constructing possibly one-way functions based on the non-decidability of the endomorphism problem in groups
\jour Prikl. Diskr. Mat.
\yr 2012
\issue 3(17)
\pages 13--24
\mathnet{http://mi.mathnet.ru/pdm374}


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