Geodesic
On constructing possibly one-way functions based on the non-decidability of the endomorphism problem in groups
Prikladnaâ diskretnaâ matematika, no. 3 (2012), pp. 13-24

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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
Mots-clés : authentication protocol. 
@article{PDM_2012_3_a1,
     author = {S. Y. Erofeev and V. A. Romankov},
     title = {On constructing possibly one-way functions based on the non-decidability of the endomorphism problem in groups},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {13--24},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2012_3_a1/}
}
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S. Y. Erofeev; V. A. Romankov. On constructing possibly one-way functions based on the non-decidability of the endomorphism problem in groups. Prikladnaâ diskretnaâ matematika, no. 3 (2012), pp. 13-24. http://geodesic.mathdoc.fr/item/PDM_2012_3_a1/