D'Alconzo, 2022 - Google Patents

A Note on the Hardness of Problems from Cryptographic Group Actions

D'Alconzo, 2022

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Document ID
7853621361817676163
Author
D'Alconzo G
Publication year
Publication venue
arXiv preprint arXiv:2202.13810

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Given a cryptographic group action, we show that the Group Action Inverse Problem (GAIP) and other related problems cannot be NP-hard unless the Polynomial Hierarchy collapses. We show this via random self-reductions and the design of interactive proofs. Since …
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    • H04L9/3073—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy involving algebraic varieties, e.g. elliptic or hyper-elliptic curves involving pairings, e.g. identity based encryption [IBE], bilinear mappings or bilinear pairings, e.g. Weil or Tate pairing
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