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On the Security of Group-based Proxy Re-encryption Scheme.

B. Purushothama, B. B. Amberker

Published Jan 1, 2013• 1 citation
OpenAlex

Abstract

Proxy re-encryption (PRE) allows a semi-trusted proxy to convert a ciphertext intended for Alice into a ciphertext for Bob without learning anything about the underlying plaintext. Chunbo Ma et al. have proposed a group based proxy re-encryption scheme to convert a ciphertext from one group to another. Any group member can independently decrypt the ciphertexts encrypted to its group. In their paper, the authors gave a security proof to say that the scheme is secure against adaptive chosen ciphertext attack. However, we highlight the aws in their scheme and show that their scheme is not secure against adaptive chosen ciphertext attack. In this direction, we construct an adversary who issues only one decryption oracle query and break the security of their scheme with non-negligible advantage.

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Proxy re-encryption (PRE) allows a semi-trusted proxy to convert a ciphertext intended for Alice into a ciphertext for Bob without learning anything about the underlying plaintext. Chunbo Ma et al. have proposed a group based proxy re-encryption scheme to convert a ciphertext from one group to another. Any group member can independently decrypt the ciphertexts encrypted to its group. In their paper, the authors gave a security proof to say that the scheme is secure against adaptive chosen ciphertext attack. However, we highlight the aws in their scheme and show that their scheme is not secure against adaptive chosen ciphertext attack. In this direction, we construct an adversary who issues only one decryption oracle query and break the security of their scheme with non-negligible advantage.
In proxy re-encryption (PRE), a semi-trusted proxy can convert a ciphertext originally intended for Alice into one which can be decrypted by Bob, while the proxy cannot know the corresponding plaintext. PRE can be classified as single-use PRE and multi-use PRE according to the times the ciphertext can be transformed. In multi-use PRE schemes, the ciphertext can be transformed from A to B and to C and so on. In CCS’09 (post session), Wang et al. proposed a multi-use unidirectional CCA-secure proxy re-encryption scheme. Unfortunately, we show their proposal is not CCA-secure in the corresponding security models by giving concrete attacks. In 2010, Ren et al. proposed a hierarchical identity-based proxy re-encryption scheme without random oracles, and claimed their scheme was also multi-use and CCA-secure, we also show their scheme is not secure.
In an identity-based proxy re-encryption scheme, a semi-trusted proxy can convert a ciphertext under Alice's public identity into a ciphertext for Bob.The proxy does not know the secret key of Alice or Bob, and also does not know the plaintext during the conversion.In identity-based proxy re-encryption, the collusion of the proxy and a delegatee may result in the decryption of ciphertext for delegator.In this paper, we present a new scheme which can avoid the collusion of proxy and delegatee.Our scheme improves the scheme of Chu and Tzeng while inheriting all useful properties such as unidirectionality and non-interactivity.In our scheme, we get the security by using added secret parameter and change the secret key and re-encryption key.Our sheme is secure against Chosen-Ciphertext Attack (CCA) and collusion attack in the standard model.
In proxy re-encryption (PRE), a semi-trusted proxy can convert a cipher text originally intended for Alice into one which can be decrypted by Bob, while the proxy can not know the underlying plaintext. In multi-use PRE schemes, the cipher text can be transformed from Alice to Bob and to Charlie and so on. Due to its cipher text transformation property, it is difficult to achieve chosen cipher text security for PRE, especially for multi-use PRE. IBE is a new kind of public-key encryption where the recipient's public key is an arbitrary string that represents the recipient's identity. Identity based proxy re-encryption (IBPRE) is a primitive combing the feature of IBE and PRE. Recently Wang et al. proposed a multi-use unidirectional CCA-secure identity based proxy re-encryption (IBPRE) scheme. Unfortunately, we show their proposal is not CCA-secure in the corresponding security models by giving concrete attacks.
In proxy re-encryption (PRE), a semi-trusted proxy can convert a cipher text originally intended for Alice into one which can be decrypted by Bob, while the proxy can not know the corresponding plaintext. PREcan be classified as single-use PRE and multi-use PRE according to the times the cipher text can be transformed. In multi-use PRE schemes, the cipher text can be transformed from A to B and to C and so on. In CCS'09 (post session), Wan get al. proposed a multi-use unidirectional CCA-secure proxy re-encryption scheme. Unfortunately, we show their proposal is not CCA-secure in the corresponding security models by giving concrete attacks.
The notion of proxy cryptography is very useful in cases when one user needs to perform sensitive operation without holding the necessary secret key. Recently, proxy reencryption scheme received much attention due to its application in information storing, secure email, etc. In this paper, we propose a proxy re-encryption used to divert ciphertext from one group to another. The scheme is bidirectional and any member can independently decrypt the ciphertexts encrypted to its group. We discuss the security of the proposed scheme and show that our scheme withstands chosen ciphertext attack in standard model.
A proxy re-encryption scheme allows Alice to temporarily delegate the decryption rights to Bob via a proxy. Alice gives the proxy a re-encryption key so that the proxy can convert a ciphertext for Alice into the ciphertext for Bob. Recently, ID-based proxy re-encryption schemes are receiving considerable attention for a variety of applications such as distributed storage, DRM, and email-forwarding system. And a non-interactive identity-based proxy re-encryption scheme was proposed for achieving CCA-security by Green and Ateniese. In the paper, we show that the identity-based proxy re-encryption scheme is unfortunately vulnerable to a collusion attack. The collusion of a proxy and a malicious user enables two parties to derive other honest users' private keys and thereby decrypt ciphertexts intended for only the honest user. To solve this problem, we propose two ID-based proxy re-encryption scheme schemes, which are proved secure under CPA and CCA in the random oracle model. For achieving CCA-security, we present self-authentication tag based on short signature. Important features of proposed scheme is that ciphertext structure is preserved after the ciphertext is re-encrypted. Therefore it does not lead to ciphertext expansion. And there is no limitation on the number of re-encryption.