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Supersingularity and Superspeciality Verification of Abelian Surfaces

Santos, Maria Corte-Real et al.
arXiv (All) · Papers
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cryptography-and-securitynumber-theory
Supersingular abelian surfaces are essential in isogeny-based cryptography. Despite this, we have no efficient algorithm to verify if a given abelian surface is supersingular. In this work, we initiate this research topic by giving an efficient Monte Carlo algorithm to verify if an abelian surface o
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