International Association for Cryptologic Research

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Extending class group action attacks via sesquilinear pairings

Authors:
Joseph Macula , University of Colorado Boulder
Katherine E. Stange , University of Colorado Boulder
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Conference: ASIACRYPT 2024
Abstract: We introduce a new tool for the study of isogeny-based cryptography, namely pairings which are sesquilinear (conjugate linear) with respect to the O-module structure of an elliptic curve with CM by an imaginary quadratic field O. We use these pairings to study the security of problems based on the class group action on collections of oriented ordinary or supersingular elliptic curves. This extends work of [CHM+23] and [FFP24].
BibTeX
@inproceedings{asiacrypt-2024-34804,
  title={Extending class group action attacks via sesquilinear pairings},
  publisher={Springer-Verlag},
  author={Joseph Macula and Katherine E. Stange},
  year=2024
}