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Algebraic Attacks against Linear RFID Authentication Protocols

Authors: Matthias Krause and Dirk Stegemann

Published in: Dagstuhl Seminar Proceedings, Volume 9031, Symmetric Cryptography (2009)

Abstract

The limited computational resources available on RFID tags imply a need for specially designed authentication protocols. The light weight authentication protocol $extsf{HB}^+$ proposed by Juels and Weis seems currently secure for several RFID applications, but is too slow for many practical settings. As a possible alternative, authentication protocols based on choosing random elements from $L$ secret linear $n$-dimensional subspaces of $GF(2)^{n+k}$ (so called linear $(n,k,L)$-protocols), have been considered. We show that to a certain extent, these protocols are vulnerable to algebraic attacks. Particularly, our approach allows to break Cicho'{n}, Klonowski and Kutyl owski's $ extsf{CKK}^2$-protocol, a special linear $(n,k,2)$-protocol, for practically recommended parameters in less than a second on a standard PC. Moreover, we show that even unrestricted $(n,k,L)$-protocols can be efficiently broken if $L$ is too small.

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Matthias Krause and Dirk Stegemann. Algebraic Attacks against Linear RFID Authentication Protocols. In Symmetric Cryptography. Dagstuhl Seminar Proceedings, Volume 9031, pp. 1-18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)

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@InProceedings{krause_et_al:DagSemProc.09031.3,
  author =	{Krause, Matthias and Stegemann, Dirk},
  title =	{{Algebraic Attacks against Linear RFID Authentication Protocols}},
  booktitle =	{Symmetric Cryptography},
  pages =	{1--18},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9031},
  editor =	{Helena Handschuh and Stefan Lucks and Bart Preneel and Phillip Rogaway},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.09031.3},
  URN =		{urn:nbn:de:0030-drops-19576},
  doi =		{10.4230/DagSemProc.09031.3},
  annote =	{Keywords: RFID Authentication, HB+, CKK, CKK2}
}

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Algebraic Attacks against Linear RFID Authentication Protocols

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