Welcome to the resource topic for 2024/1148
Title:
On hermitian decomposition lattices and the module-LIP problem in rank 2
Authors: Thomas Espitau, Heorhii Pliatsok
Abstract:In this short note, we introduce a specific class of rank two lattices over CM fields endowed with additional symmetries, which are involved in the decomposition of algebraic integers in Hermitian squares. As an application, we show an elementary reduction from the module-LIP problem in rank 2 over a CM or totally real number field to the finding of a square basis in such lattices.
ePrint: https://eprint.iacr.org/2024/1148
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