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On Codes and Learning With Errors over Function Fields

Published in arXiv (Cornell University) • Feb 28, 2022
Authors:
Maxime Bombar
,
Alain Couvreur
,
Thomas Debris-Alazard

Abstract

It is a long standing open problem to find search to decision reductions for structured versions of the decoding problem of linear codes. Such results in the lattice-based setting have been carried out using number fields: Polynomial-LWE, Ring-LWE, Module-LWE and so on. We propose a function field v...

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