Giophantus distinguishing attack is a low dimensional learning with errors problem

Jintai Ding; Joshua Deaton; Kurt Schmidt

doi:10.3934/amc.2020014

Giophantus distinguishing attack is a low dimensional learning with errors problem

Jintai Ding^*, Joshua Deaton, Kurt Schmidt

^*Corresponding author for this work

University of Cincinnati

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we attack the recent NIST submission Giophantus, a public key encryption scheme. We find that the complicated structure of Giophantus’s ciphertexts leaks information via a correspondence from a low dimensional lattice. This allows us to distinguish encrypted data from random data by the LLL algorithm. This is a more efficient attack than previous proposed attacks.

Original language	English
Pages (from-to)	171-175
Number of pages	5
Journal	Advances in Mathematics of Communications
Volume	14
Issue number	1
DOIs	https://doi.org/10.3934/amc.2020014
Publication status	Published - Feb 2020
Externally published	Yes

Keywords

Cryptanalysis
Giophantus
Lattice
Learning with errors
NIST.
Post quantum cryptography

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10.3934/amc.2020014

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title = "Giophantus distinguishing attack is a low dimensional learning with errors problem",

abstract = "In this paper, we attack the recent NIST submission Giophantus, a public key encryption scheme. We find that the complicated structure of Giophantus{\textquoteright}s ciphertexts leaks information via a correspondence from a low dimensional lattice. This allows us to distinguish encrypted data from random data by the LLL algorithm. This is a more efficient attack than previous proposed attacks.",

keywords = "Cryptanalysis, Giophantus, Lattice, Learning with errors, NIST., Post quantum cryptography",

author = "Jintai Ding and Joshua Deaton and Kurt Schmidt",

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AU - Deaton, Joshua

AU - Schmidt, Kurt

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AB - In this paper, we attack the recent NIST submission Giophantus, a public key encryption scheme. We find that the complicated structure of Giophantus’s ciphertexts leaks information via a correspondence from a low dimensional lattice. This allows us to distinguish encrypted data from random data by the LLL algorithm. This is a more efficient attack than previous proposed attacks.

KW - Cryptanalysis

KW - Giophantus

KW - Lattice

KW - Learning with errors

KW - NIST.

KW - Post quantum cryptography

UR - https://www.scopus.com/pages/publications/85073504551

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DO - 10.3934/amc.2020014

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Giophantus distinguishing attack is a low dimensional learning with errors problem

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