Article

Cryptanalysis of group-based key agreement protocols using subgroup distance functions

Authors:

Dima Ruinskiy,

Adi Shamir,

Boaz TsabanAuthors Info & Claims

PKC'07: Proceedings of the 10th international conference on Practice and theory in public-key cryptography

Pages 61 - 75

Published: 16 April 2007 Publication History

Abstract

We introduce a new approach for cryptanalysis of key agreement protocols based on noncommutative groups. Our approach uses functions that estimate the distance of a group element to a given subgroup. We test it against the Shpilrain-Ushakov protocol, which is based on Thompson's group F, and show that it can break about half the keys within a few seconds on a single PC.

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Shpilrain V(2008)Cryptanalysis of Stickel's key exchange schemeProceedings of the 3rd international conference on Computer science: theory and applications10.5555/1813695.1813727(283-288)Online publication date: 7-Jun-2008
https://dl.acm.org/doi/10.5555/1813695.1813727
Shpilrain VUshakov A(2008)An authentication scheme based on the twisted conjugacy problemProceedings of the 6th international conference on Applied cryptography and network security10.5555/1788857.1788879(366-372)Online publication date: 3-Jun-2008
https://dl.acm.org/doi/10.5555/1788857.1788879

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Published In

PKC'07: Proceedings of the 10th international conference on Practice and theory in public-key cryptography

April 2007

490 pages

ISBN:9783540716761

Editors:
Tatsuaki Okamoto
NTT Laboratories, Nippon Telegraph and Telephone Corporation, Japan
,
Xiaoyun Wang
Shandong University and Tsinghua University, China

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 16 April 2007

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Shpilrain V(2008)Cryptanalysis of Stickel's key exchange schemeProceedings of the 3rd international conference on Computer science: theory and applications10.5555/1813695.1813727(283-288)Online publication date: 7-Jun-2008
https://dl.acm.org/doi/10.5555/1813695.1813727
Shpilrain VUshakov A(2008)An authentication scheme based on the twisted conjugacy problemProceedings of the 6th international conference on Applied cryptography and network security10.5555/1788857.1788879(366-372)Online publication date: 3-Jun-2008
https://dl.acm.org/doi/10.5555/1788857.1788879

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Biclique cryptanalysis on lightweight block cipher: HIGHT and Piccolo

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