A review of the password authenticated key exchange protocols vulnerabilities and principles of the \emph{SESPAKE} protocol construction
Matematičeskie voprosy kriptografii, Tome 7 (2016), pp. 7-28

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We consider a family of protocols permitting the parties sharing a weak key (a password) to generate a strong common key using the unprotected channel. It is supposed that to check the password correctness the adversary should interact with legitimate participants. A review of the known vulnerabilities of the protocols of the family considered is given. This review is used to explain the main principles of the SESPAKE protocol construction.
@article{MVK_2016_7_a1,
     author = {E. K. Alekseev and L. R. Akhmetzyanova and I. B. Oshkin and S. V. Smyshlyaev},
     title = {A review of the password authenticated key exchange protocols vulnerabilities and principles of the {\emph{SESPAKE}} protocol construction},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {7--28},
     publisher = {mathdoc},
     volume = {7},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2016_7_a1/}
}
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E. K. Alekseev; L. R. Akhmetzyanova; I. B. Oshkin; S. V. Smyshlyaev. A review of the password authenticated key exchange protocols vulnerabilities and principles of the \emph{SESPAKE} protocol construction. Matematičeskie voprosy kriptografii, Tome 7 (2016), pp. 7-28. http://geodesic.mathdoc.fr/item/MVK_2016_7_a1/