Description
We will describe how we are implementing Edixhoven's method for computing polynomials for the mod l Galois representations associated to modular forms. The computations are done in MAGMA, using modular symbols and numerical analysis. Recently, we have computed such polynomials for the mod 13 representation associated to Delta, the discriminant modular form of weight 12. In that case, we work with the modular curve X_1(13), which is of genus 2, and the polynomials have degrees 14 and 168.
Prochains exposés
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Module Learning With Errors and Structured Extrapolated Dihedral Cosets
Orateur : Jinwei Zheng - Télécom Paris
The Module Learning With Errors (MLWE) problem is the fundamental hardness assumption underlying the key encapsulation and signature schemes ML-KEM and ML-DSA, which have been selected by NIST for post-quantum cryptography standardization. Understanding its quantum hardness is crucial for assessing the security of these standardized schemes. Inspired by the equivalence between LWE and[…]-
Cryptography
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European Cyber Week: atelier cryptographie post-quantique
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Journée post-quantique du séminaire crypto
Journée scientifique sur la cryptographie post-quantique dans la foulée de l'European Cyber Week avec des exposés plus techniques que ceux de l'ECW.