A Novel Algorithm for Solving the LPN Problem and its Application to Security Evaluation of the HB Protocol for RFID Authentication

Marc P. C.  Fossorier; Miodrag J.  Mihaljevic; Hideki Imai; Yang Cui; Kanta Matsuura

Paper 2006/197 Original: eprint.iacr.org/2006/197 ↗

A Novel Algorithm for Solving the LPN Problem and its Application to Security Evaluation of the HB Protocol for RFID Authentication

Marc P. C. Fossorier

Miodrag J. Mihaljevic

Hideki Imai

Yang Cui

Kanta Matsuura

Abstract

A novel algorithm for solving the LPN problem is proposed and analyzed. The algorithm originates from the recently proposed advanced fast correlation attacks, and it employs the concepts of decimation, linear combining, hypothesizing and minimum distance decoding. The proposed algorithm appears as more powerful than the best one previously reported known as the BKW algorithm. In fact the BKW algorithm is shown to be a special instance of the proposed algorithm, but without optimized parameters. An improved security evaluation of the HB protocol for RFID authentication is then developed. Employing the proposed algorithm, the security of the HB protocol is reevaluated, implying that the previously reported security margins appear as overestimated.

Metadata

Available format(s): PDF
Category: Secret-key cryptography
Publication info: Preprint.
History: 2006-06-20: last updated; 2006-06-20: published
Short URL: https://ia.cr/2006/197
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2006/197,
      author = {Marc P. C.  Fossorier and Miodrag J.  Mihaljevic and Hideki Imai and Yang Cui and Kanta Matsuura},
      title = {A Novel Algorithm for Solving the LPN Problem and its Application to Security Evaluation of the HB Protocol for RFID Authentication},
      howpublished = {Cryptology {ePrint} Archive, Paper 2006/197},
      year = {2006},
      url = {https://eprint.iacr.org/2006/197}
}