HELEN: a Public-key Cryptosystem Based on the LPN and the Decisional Minimal Distance Problems

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Title: HELEN: a Public-key Cryptosystem Based on the LPN and the Decisional Minimal Distance Problems
Authors: Alexandre Duc, Serge Vaudenay
Contributors: The Pennsylvania State University CiteSeerX Archives
Source: http://infoscience.epfl.ch/record/187368/files/helen-full.pdf.
Collection: CiteSeerX
Subject Terms: Code-based cryptosystem, learning from parity with noise problem, minimum distance problem
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.
Document Type: text
File Description: application/pdf
Language: English
Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.309.779
Availability: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.309.779
http://infoscience.epfl.ch/record/187368/files/helen-full.pdf
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Accession Number: edsbas.4EB39AB5
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.