Speeding up R-LWE post-quantum key exchange

Shay Gueron; Fabian Schlieker

doi:10.1007/978-3-319-47560-8_12

Speeding up R-LWE post-quantum key exchange

Shay Gueron, Fabian Schlieker

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Post-quantum cryptography has attracted increased attention in the last couple of years, due to the threat of quantum computers breaking current cryptosystems. In particular, the key size and performance of post-quantum algorithms became a significant target for optimization. In this spirit, Alkim et al. have recently proposed a significant optimization for a key exchange scheme that is based on the R-LWE problem. In this paper, we build on the implementation of Alkim et al., and focus on improving the algorithm for generating a uniformly random polynomial. We optimize three independent directions: efficient pseudorandom bytes generation, decreasing the rejection rate during sampling, and vectorizing the sampling step. When measured on the latest Intel processor Architecture Codename Skylake, our new optimizations improve over Alkim et al. by up to 1.59× on the server side, and by up to 1.54× on the client side.

Original language	English
Title of host publication	Secure IT Systems - 21st Nordic Conference, NordSec 2016, Proceedings
Editors	Juha Roning, Billy Bob Brumley
Publisher	Springer Verlag
Pages	187-198
Number of pages	12
ISBN (Print)	9783319475592
DOIs	https://doi.org/10.1007/978-3-319-47560-8_12
State	Published - 2016
Event	21st Nordic Conference on Secure IT Systems, NordSec 2016 - Oulu, Finland Duration: 2 Nov 2016 → 4 Nov 2016

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	10014 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	21st Nordic Conference on Secure IT Systems, NordSec 2016
Country/Territory	Finland
City	Oulu
Period	2/11/16 → 4/11/16

Bibliographical note

Publisher Copyright:
© Springer International Publishing AG 2016.

Keywords

AES-NI
AVX2
AVX512
Post-quantum key exchange
Ring-LWE
Software optimization

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-319-47560-8_12

Cite this

Gueron, S., & Schlieker, F. (2016). Speeding up R-LWE post-quantum key exchange. In J. Roning, & B. B. Brumley (Eds.), Secure IT Systems - 21st Nordic Conference, NordSec 2016, Proceedings (pp. 187-198). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10014 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-319-47560-8_12

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title = "Speeding up R-LWE post-quantum key exchange",

abstract = "Post-quantum cryptography has attracted increased attention in the last couple of years, due to the threat of quantum computers breaking current cryptosystems. In particular, the key size and performance of post-quantum algorithms became a significant target for optimization. In this spirit, Alkim et al. have recently proposed a significant optimization for a key exchange scheme that is based on the R-LWE problem. In this paper, we build on the implementation of Alkim et al., and focus on improving the algorithm for generating a uniformly random polynomial. We optimize three independent directions: efficient pseudorandom bytes generation, decreasing the rejection rate during sampling, and vectorizing the sampling step. When measured on the latest Intel processor Architecture Codename Skylake, our new optimizations improve over Alkim et al. by up to 1.59× on the server side, and by up to 1.54× on the client side.",

keywords = "AES-NI, AVX2, AVX512, Post-quantum key exchange, Ring-LWE, Software optimization",

author = "Shay Gueron and Fabian Schlieker",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2016.; 21st Nordic Conference on Secure IT Systems, NordSec 2016 ; Conference date: 02-11-2016 Through 04-11-2016",

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Gueron, S & Schlieker, F 2016, Speeding up R-LWE post-quantum key exchange. in J Roning & BB Brumley (eds), Secure IT Systems - 21st Nordic Conference, NordSec 2016, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10014 LNCS, Springer Verlag, pp. 187-198, 21st Nordic Conference on Secure IT Systems, NordSec 2016, Oulu, Finland, 2/11/16. https://doi.org/10.1007/978-3-319-47560-8_12

Speeding up R-LWE post-quantum key exchange. / Gueron, Shay; Schlieker, Fabian.
Secure IT Systems - 21st Nordic Conference, NordSec 2016, Proceedings. ed. / Juha Roning; Billy Bob Brumley. Springer Verlag, 2016. p. 187-198 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10014 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - Post-quantum cryptography has attracted increased attention in the last couple of years, due to the threat of quantum computers breaking current cryptosystems. In particular, the key size and performance of post-quantum algorithms became a significant target for optimization. In this spirit, Alkim et al. have recently proposed a significant optimization for a key exchange scheme that is based on the R-LWE problem. In this paper, we build on the implementation of Alkim et al., and focus on improving the algorithm for generating a uniformly random polynomial. We optimize three independent directions: efficient pseudorandom bytes generation, decreasing the rejection rate during sampling, and vectorizing the sampling step. When measured on the latest Intel processor Architecture Codename Skylake, our new optimizations improve over Alkim et al. by up to 1.59× on the server side, and by up to 1.54× on the client side.

AB - Post-quantum cryptography has attracted increased attention in the last couple of years, due to the threat of quantum computers breaking current cryptosystems. In particular, the key size and performance of post-quantum algorithms became a significant target for optimization. In this spirit, Alkim et al. have recently proposed a significant optimization for a key exchange scheme that is based on the R-LWE problem. In this paper, we build on the implementation of Alkim et al., and focus on improving the algorithm for generating a uniformly random polynomial. We optimize three independent directions: efficient pseudorandom bytes generation, decreasing the rejection rate during sampling, and vectorizing the sampling step. When measured on the latest Intel processor Architecture Codename Skylake, our new optimizations improve over Alkim et al. by up to 1.59× on the server side, and by up to 1.54× on the client side.

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Gueron S, Schlieker F. Speeding up R-LWE post-quantum key exchange. In Roning J, Brumley BB, editors, Secure IT Systems - 21st Nordic Conference, NordSec 2016, Proceedings. Springer Verlag. 2016. p. 187-198. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-47560-8_12

Speeding up R-LWE post-quantum key exchange

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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