Cryptographic Group and Semigroup Actions

ePrint Report: Cryptographic Group and Semigroup Actions

Oliver W. Gnilke, Jens Zumbrägel

We consider actions of a group or a semigroup on a set, which generalize the setup of discrete logarithm based cryptosystems. Such cryptographic group actions have gained increasing attention recently in the context of isogeny-based cryptography. We introduce generic algorithms for the semigroup action problem and discuss lower and upper bounds. Also, we investigate Pohlig-Hellman type attacks in a general sense. In particular, we consider reductions provided by …

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