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2020 | OriginalPaper | Chapter

Receiver Selective Opening CCA Secure Public Key Encryption from Various Assumptions

Authors : Yi Lu, Keisuke Hara, Keisuke Tanaka

Published in: Provable and Practical Security

Publisher: Springer International Publishing

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Abstract

Receiver selective opening (RSO) attacks for public key encryption (PKE) capture a situation where one sender sends messages to multiple receivers, and an adversary can corrupt a set of receivers and get their messages and secret keys. Security against RSO attack for a PKE scheme ensures confidentiality of other uncorrupted receivers’ ciphertexts. Among all of the RSO security notions, simulation-based RSO security against chosen ciphertext attack (SIM-RSO-CCA security) is the strongest notion. In this paper, we explore constructions of SIM-RSO-CCA secure PKE from various computational assumptions. Toward this goal, we show that a SIM-RSO-CCA secure PKE scheme can be constructed based on an IND-CPA secure PKE scheme and a designated-verifier non-interactive zero-knowledge (DV-NIZK) argument satisfying one-time simulation soundness. Moreover, we give the first construction of DV-NIZK argument satisfying one-time simulation soundness. Consequently, through our generic construction, we obtain the first SIM-RSO-CCA secure PKE scheme under the computational Diffie-Hellman (CDH) or learning parity with noise (LPN) assumption.

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previous chapter Improved Indistinguishability for Searchable Symmetric Encryption

next chapter A Practical NIZK Argument for Confidential Transactions over Account-Model Blockchain

Due to the previous works [22, 24], it is known that both of an \(\mathrm {IND}\mathrm {-}\mathrm {CPA}\) secure PKE scheme and an NIZK proof system can be constructed based on the learning with errors (LWE) assumption, which is one of the post-quantum computational assumption. Thus, by combining with the result [10], we can obtain a \(\mathrm {SIM}\mathrm {-}\mathrm {RSO}\mathrm {-}\mathrm {CCA}\) secure PKE scheme based on the LWE assumption.

In this paper, as mentioned in Sect. 1.2, we focus on \(\mathrm {RNC}\mathrm {-}\mathrm {CCA}\) secure RNCE to obtain a new \(\mathrm {SIM}\mathrm {-}\mathrm {RSO}\mathrm {-}\mathrm {CCA}\) secure PKE scheme. Although we do not use a \(\mathrm {SIM}\mathrm {-}\mathrm {RSO}\mathrm {-}\mathrm {CCA}\) security for PKE, we recall the definition here for completeness.

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Title: Receiver Selective Opening CCA Secure Public Key Encryption from Various Assumptions
Authors: Yi Lu
Keisuke Hara
Keisuke Tanaka
Publisher: Springer International Publishing
Book: Provable and Practical Security
Print ISBN: 978-3-030-62575-7

Electronic ISBN: 978-3-030-62576-4

Copyright Year: 2020
DOI: https://doi.org/10.1007/978-3-030-62576-4_11

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