How to Encrypt with the LPN Problem

  • Authors:
  • Henri Gilbert;Matthew J. Robshaw;Yannick Seurin

  • Affiliations:
  • Orange Labs, Issy les Moulineaux, France;Orange Labs, Issy les Moulineaux, France;Orange Labs, Issy les Moulineaux, France

  • Venue:
  • ICALP '08 Proceedings of the 35th international colloquium on Automata, Languages and Programming, Part II
  • Year:
  • 2008

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Abstract

We present a probabilistic private-key encryption scheme named LPN-C whose security can be reduced to the hardness of the Learning from Parity with Noise (LPN) problem. The proposed protocol involves only basic operations in GF(2) and an error-correcting code. We show that it achieves indistinguishability under adaptive chosen plaintext attacks (IND-P2-C0). Appending a secure MAC renders the scheme secure under adaptive chosen ciphertext attacks. This scheme enriches the range of available cryptographic primitives whose security relies on the hardness of the LPN problem.