Welcome to the resource topic for 2025/215
Title:
A note on the genus of the HAWK lattice
Authors: Daniël M. H. van Gent
Abstract:The cryptographic scheme and NIST candidate HAWK makes use of a particular module lattice and relies for its security on the assumption that finding module lattice isomorphisms (module LIP) is hard. To support this assumption, we compute the mass of the HAWK lattice, which gives a lower bound on the number of isometry classes of module lattices which cannot be distinguished from the HAWK lattice by an easily computed invariant called the genus. This number turns out to be so large that an attack based on the genus alone seems infeasible.
ePrint: https://eprint.iacr.org/2025/215
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