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

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Titel: HELEN: a Public-key Cryptosystem Based on the LPN and the Decisional Minimal Distance Problems
Autoren: Alexandre Duc, Serge Vaudenay
Weitere Verfasser: The Pennsylvania State University CiteSeerX Archives
Quelle: http://infoscience.epfl.ch/record/187368/files/helen-full.pdf.
Bestand: CiteSeerX
Schlagwörter: Code-based cryptosystem, learning from parity with noise problem, minimum distance problem
Beschreibung: 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.
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Sprache: English
Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.309.779
Verfügbarkeit: 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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  Data: HELEN: a Public-key Cryptosystem Based on the LPN and the Decisional Minimal Distance Problems
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  Data: <searchLink fieldCode="AR" term="%22Alexandre+Duc%22">Alexandre Duc</searchLink><br /><searchLink fieldCode="AR" term="%22Serge+Vaudenay%22">Serge Vaudenay</searchLink>
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  Data: 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.
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      – SubjectFull: learning from parity with noise problem
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      – SubjectFull: minimum distance problem
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