HELEN: A Public-Key Cryptosystem Based on the LPN and the Decisional Minimal Distance Problems

Saved in:
Bibliographic Details
Title: HELEN: A Public-Key Cryptosystem Based on the LPN and the Decisional Minimal Distance Problems
Authors: Duc, Alexandre, Vaudenay, Serge
Contributors: Youssef, Amr, Nitaj, Abderrahmane, Hassanien, Aboul Ella
Publisher Information: Springer
Berlin
Publication Year: 2013
Collection: Ecole Polytechnique Fédérale Lausanne (EPFL): Infoscience
Subject Terms: Code-based cryptosystem, learning from parity with noise problem, LPN, minimum distance problem, random linear code, public-key cryptosystem
Description: We propose HELEN, a code-based public-key cryptosystem whose security is based on the hardness of the Learning from Parity with Noise problem (LPN) and the decisional minimum distance problem. We show that the resulting cryptosystem achieves indistinguishability under chosen plaintext attacks (IND-CPA security). Using the Fujisaki-Okamoto generic construction, HELEN achieves IND-CCA security in the random oracle model. Our cryptosystem looks like the Alekhnovich cryptosystem. However, we carefully study its complexity and we further propose concrete optimized parameters. ; LASEC
Document Type: conference object
Language: unknown
ISBN: 978-3-642-38552-0
3-642-38552-4
Relation: https://infoscience.epfl.ch/record/187368/files/helen-full.pdf; Proceedings of the 6th International Conference on Cryptology in Africa; Lecture Notes in Computer Science; 7918; AFRICACRYPT 2013, 6th International Conference on Cryptology in Africa; https://infoscience.epfl.ch/handle/20.500.14299/93139
DOI: 10.1007/978-3-642-38553-7_6
Availability: https://doi.org/10.1007/978-3-642-38553-7_6
https://infoscience.epfl.ch/handle/20.500.14299/93139
https://hdl.handle.net/20.500.14299/93139
Accession Number: edsbas.301DB164
Database: BASE
Description
Abstract:We propose HELEN, a code-based public-key cryptosystem whose security is based on the hardness of the Learning from Parity with Noise problem (LPN) and the decisional minimum distance problem. We show that the resulting cryptosystem achieves indistinguishability under chosen plaintext attacks (IND-CPA security). Using the Fujisaki-Okamoto generic construction, HELEN achieves IND-CCA security in the random oracle model. Our cryptosystem looks like the Alekhnovich cryptosystem. However, we carefully study its complexity and we further propose concrete optimized parameters. ; LASEC
ISBN:9783642385520
3642385524
DOI:10.1007/978-3-642-38553-7_6