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Paper: Weak Keys in MST1

Authors: Jens-Matthias Bohli Maria Isabel Gonzalez Vasco Consuelo Martínez Rainer Steinwandt URL: http://eprint.iacr.org/2002/070 Search ePrint Search Google The public key cryptosystem $MST_1$ has been introduced in~\cite{MaStTr00}. Its security relies on the hardness of factoring with respect to wild logarithmic signatures. To identify wild-like' logarithmic signatures, the criterion of being totally-non-transversal has been proposed. We give tame totally-non-transversal logarithmic signatures for the alternating and symmetric groups of degree $\ge 5$. Hence, basing a key generation procedure on the assumption that totally-non-transversal logarithmic signatures are wild like' seems critical. We also discuss the problem of recognizing weak' totally-non-transversal logarithmic signatures, and demonstrate that another proposed key generation procedure based on permutably transversal logarithmic signatures may produce weak keys.
BibTeX
@misc{eprint-2002-11594,
title={Weak Keys in MST1},
booktitle={IACR Eprint archive},
keywords={public-key cryptography / logarithmic signatures, group based cryptography, MST1},
url={http://eprint.iacr.org/2002/070},
note={ mvasco@orion.ciencias.uniovi.es 11838 received 31 May 2002},
author={Jens-Matthias Bohli and Maria Isabel Gonzalez Vasco and Consuelo Martínez and Rainer Steinwandt},
year=2002
}
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