Ring learning with errors: a crossroads between post-quantum cryptography, machine learning and number theory

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2020Embargo end date: 01 Jan 2019 Spain English Publisher:Maynooth UniversityJournal:Irish Mathematical Society Bulletin, volume 86, pages 17-46 (issn: 0791-5578,

Copyright policy )Funded by:SFI | Theory and Application fo...

Authors: Blanco Chacón, Iván;

doi: 10.33232/bims.0086.17.46 , 10.48550/arxiv.1902.08551

arXiv: 1902.08551

handle: 10017/60176

Ring learning with errors: a crossroads between post-quantum cryptography, machine learning and number theory

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Abstract

The present survey reports on the state of the art of the different cryptographic functionalities built upon the ring learning with errors problem and its interplay with several classical problems in algebraic number theory. The survey is based to a certain extent on an invited course given by the author at the Basque Center for Applied Mathematics in September 2018.

arXiv admin note: text overlap with arXiv:1508.01375 by other authors/ comment of the author: quotation has been added to Theorem 5.8

Country

Spain

Related Organizations

University of Alcalá
Spain

Keywords

FOS: Computer and information sciences, Computer Science - Cryptography and Security, Post-quantum cryptography, Matemáticas, Computer Science - Information Theory, Information Theory (cs.IT), Lattice based cryptography, Cyclotomic polynomials, Ring learning with errors, Condition number, Cryptography and Security (cs.CR), Mathematics

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