Description
Until recently, the best known algorithm for solving a Discrete Logarithm Problem (DLP) in the Jacobian of a hyperelliptic genus 3 curve ran in time \softO(q^(4/3)), while the best known algorithm for non-hyperelliptic genus 3 curves ran in time \softO(q). In this talk, we describe an efficient algorithm for moving instances of the DLP from a hyperelliptic genus 3 Jacobian to a non-hyperelliptic Jacobian, by means of an explicit isogeny. This allows us to solve the DLP on a large class of hyperelliptic genus 3 Jacobians in time \softO(q).
Next sessions
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Oblivious Transfer from Zero-Knowledge Proofs (or how to achieve round-optimal quantum Oblivious Transfer without structure)
Speaker : Léo Colisson - Université Grenoble Alpes
We provide a generic construction to turn any classical Zero-Knowledge (ZK) protocol into a composable oblivious transfer (OT) protocol (the protocol itself involving quantum interactions), mostly lifting the round-complexity properties and security guarantees (plain-model/statistical security/unstructured functions…) of the ZK protocol to the resulting OT protocol. Such a construction is unlikely[…]-
Cryptography
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