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Weak Keys in MST1
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Abstract: | 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 MartÃnez and Rainer Steinwandt}, year=2002 }