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SUMMARY:A reduction from Hawk to the principal ideal problem in a quaterni
 on algebra
DTSTART:20260604T120000Z
DTEND:20260604T140000Z
DTSTAMP:20260615T200100Z
UID:indico-event-16282@indico.math.cnrs.fr
DESCRIPTION:Speakers: Clémence Chevignard\n\nHawk is a signature publishe
 d in 2023\, whose security is based on a variant of the Lattice Isomorphis
 m Problem\, called  module-LIP. The publication of this signature sparked
  an interest in the resolution of module-LIP. In this talk\, we present a 
 polynomial time reduction from this problem\, to another mathematical prob
 lem that involves quaternion algebras. This result comes from a 2025 paper
  of ours\, that mainly uses number fields and quaternion algebras notions.
  If you want to learn more about it\, come to the talk.\n\nhttps://indico.
 math.cnrs.fr/event/16282/
URL:https://indico.math.cnrs.fr/event/16282/
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