Cryptanalysis of rank-2 module-LIP in Totally Real Number Fields

ePrint Report: Cryptanalysis of rank-2 module-LIP in Totally Real Number Fields

Guilhem Mureau, Alice Pellet-Mary, Heorhii Pliatsok, Alexandre Wallet

We formally define the Lattice Isomorphism Problem for module lattices (module-LIP) in a number field $K$. This is a generalization of the problem defined by Ducas, Postlethwaite, Pulles, and van Woerden (Asiacrypt 2022), taking into account the arithmetic and algebraic specificity of module lattices from their representation using pseudo-bases.
We also provide the corresponding set of algorithmic and theoretical tools for …

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