An Improved LPN Algorithm

Eric Levieil , Pierre-Alain Fouque (1, 2)

1 LIENS - Laboratoire d'informatique de l'école normale supérieure
2 ENS-PSL - École normale supérieure - Paris

HB+ is a shared-key authentication protocol, proposed by Juels and Weis at Crypto 2005, using prior work of Hopper and Blum. Its very low computational cost makes it attractive for low-cost devices such as radio-frequency identification(RFID) tags. Juels and Weis gave a security proof, relying on the hardness of the “learning parity with noise” (LPN) problem. Here, we improve the previous best known algorithm proposed by Blum, Kalai, and Wasserman for solving the LPN problem. This new algorithm yields an attack for HB+ in the detection-based model with work factor 252.

Domaines: Cryptographie et sécurité [cs.CR]

Eric Levieil, Pierre-Alain Fouque. An Improved LPN Algorithm. Security and Cryptography for Networks, 5th International Conference, SCN 2006, 2006, Maiori, Italy. pp.348-359, ⟨10.1007/11832072_24⟩. ⟨inria-00563959⟩