A practical cryptanalysis of the algebraic eraser

Adi Ben-Zvi; Simon R. Blackburn; Boaz Tsaban

doi:10.1007/978-3-662-53018-4_7

A practical cryptanalysis of the algebraic eraser

Adi Ben-Zvi, Simon R. Blackburn, Boaz Tsaban

Royal Holloway University of London

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

11 Scopus citations

Abstract

We present a novel cryptanalysis of theAlgebraic Eraser primitive. This key agreement scheme, based on techniques from permutation groups, matrix groups and braid groups, is proposed as an underlying technology for ISO/IEC 29167-20, which is intended for authentication of RFID tags. SecureRF, the company owning the trademark Algebraic Eraser, markets it as suitable in general for lightweight environments such as RFID tags and other IoT applications. Our attack is practical on standard hardware: for parameter sizes corresponding to claimed 128-bit security, our implementation recovers the shared key using less than 8 CPU hours, and less than 64MB of memory.

Original language	English
Title of host publication	Advances in Cryptology - 36th Annual International Cryptology Conference, CRYPTO 2016, Proceedings
Editors	Matthew Robshaw, Jonathan Katz
Publisher	Springer Verlag
Pages	179-189
Number of pages	11
ISBN (Print)	9783662530177
DOIs	https://doi.org/10.1007/978-3-662-53018-4_7
State	Published - 2016
Event	36th Annual International Cryptology Conference, CRYPTO 2016 - Santa Barbara, United States Duration: 14 Aug 2016 → 18 Aug 2016

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	9814
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	36th Annual International Cryptology Conference, CRYPTO 2016
Country/Territory	United States
City	Santa Barbara
Period	14/08/16 → 18/08/16

Bibliographical note

Publisher Copyright:
© International Association for Cryptologic Research 2016.

Access to Document

10.1007/978-3-662-53018-4_7

Cite this

Ben-Zvi, A., Blackburn, S. R., & Tsaban, B. (2016). A practical cryptanalysis of the algebraic eraser. In M. Robshaw, & J. Katz (Eds.), Advances in Cryptology - 36th Annual International Cryptology Conference, CRYPTO 2016, Proceedings (pp. 179-189). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9814). Springer Verlag. https://doi.org/10.1007/978-3-662-53018-4_7

Ben-Zvi, Adi ; Blackburn, Simon R. ; Tsaban, Boaz. / A practical cryptanalysis of the algebraic eraser. Advances in Cryptology - 36th Annual International Cryptology Conference, CRYPTO 2016, Proceedings. editor / Matthew Robshaw ; Jonathan Katz. Springer Verlag, 2016. pp. 179-189 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Ben-Zvi, A, Blackburn, SR & Tsaban, B 2016, A practical cryptanalysis of the algebraic eraser. in M Robshaw & J Katz (eds), Advances in Cryptology - 36th Annual International Cryptology Conference, CRYPTO 2016, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9814, Springer Verlag, pp. 179-189, 36th Annual International Cryptology Conference, CRYPTO 2016, Santa Barbara, United States, 14/08/16. https://doi.org/10.1007/978-3-662-53018-4_7

A practical cryptanalysis of the algebraic eraser. / Ben-Zvi, Adi; Blackburn, Simon R.; Tsaban, Boaz.
Advances in Cryptology - 36th Annual International Cryptology Conference, CRYPTO 2016, Proceedings. ed. / Matthew Robshaw; Jonathan Katz. Springer Verlag, 2016. p. 179-189 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9814).

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

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Ben-Zvi A, Blackburn SR, Tsaban B. A practical cryptanalysis of the algebraic eraser. In Robshaw M, Katz J, editors, Advances in Cryptology - 36th Annual International Cryptology Conference, CRYPTO 2016, Proceedings. Springer Verlag. 2016. p. 179-189. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-662-53018-4_7

A practical cryptanalysis of the algebraic eraser

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