Description
Our talk is about joint work with D. Kohel and D. Lubicz. We prove equations having as solutions the theta null points of canonical lifts of ordinary abelian varieties over finite fields of characteristic 3. We describe an algorithm for 3-adic canonical lifting of ordinary abelian surfaces based on our formulas. The algorithm has been implemented in MAGMA. Examples of canonically lifted theta null points are given whose coordinates generate the ray class field modulo 2 of the reflex field of the endomorphism algebra.
Next sessions
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Polytopes in the Fiat-Shamir with Aborts Paradigm
Speaker : Hugo Beguinet - ENS Paris / Thales
The Fiat-Shamir with Aborts paradigm (FSwA) uses rejection sampling to remove a secret’s dependency on a given source distribution. Recent results revealed that unlike the uniform distribution in the hypercube, both the continuous Gaussian and the uniform distribution within the hypersphere minimise the rejection rate and the size of the proof of knowledge. However, in practice both these[…]-
Cryptography
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Asymmetric primitive
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Mode and protocol
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Post-quantum Group-based Cryptography
Speaker : Delaram Kahrobaei - The City University of New York