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Erschienen in:
Tightly-Secure Encryption in the Multi-user, Multi-challenge Setting with Improved Efficiency Kapitel lesen Erstes Kapitel lesen

2017 | OriginalPaper | Buchkapitel

KDM-Secure Public-Key Encryption from Constant-Noise LPN

verfasst von : Shuai Han, Shengli Liu

Erschienen in: Information Security and Privacy

Verlag: Springer International Publishing

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Abstract

The Learning Parity with Noise (LPN) problem has found many applications in cryptography due to its conjectured post-quantum hardness and simple algebraic structure. Over the years, constructions of different public-key primitives were proposed from LPN, but most of them are based on the LPN assumption with low noise rate rather than constant noise rate. A recent breakthrough was made by Yu and Zhang (Crypto’16), who constructed the first Public-Key Encryption (PKE) from constant-noise LPN. However, the problem of designing a PKE with Key-Dependent Message (KDM) security from constant-noise LPN is still open.
In this paper, we present the first PKE with KDM-security assuming certain sub-exponential hardness of constant-noise LPN, where the number of users is predefined. The technical tool is two types of multi-fold LPN on squared-log entropy, one having independent secrets and the other independent sample subspaces. We establish the hardness of the multi-fold LPN variants on constant-noise LPN. Two squared-logarithmic entropy sources for multi-fold LPN are carefully chosen, so that our PKE is able to achieve correctness and KDM-security simultaneously.

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Vorheriges Kapitel Hierarchical Functional Encryption for Linear Transformations
Nächstes Kapitel Long-Term Secure Commitments via Extractable-Binding Commitments
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Metadaten
Titel
KDM-Secure Public-Key Encryption from Constant-Noise LPN
verfasst von
Shuai Han
Shengli Liu
Copyright-Jahr
2017
Buch
Information Security and Privacy

Print ISBN: 978-3-319-60054-3

Electronic ISBN: 978-3-319-60055-0

Copyright-Jahr: 2017

DOI
https://doi.org/10.1007/978-3-319-60055-0_3

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