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International Conference on Enterprise Systems (ES)

Revocable IBE with Decryption Key Exposure Resistance from NTRU Lattice

Dandan Zhang, Shanqiang Feng, Fengyin Li

Published Apr 12, 2025• 0 citations
Publisher

Abstract

Revocable identity-based encryption (RIBE) adds a key revocation mechanism to traditional identity-based encryption (IBE), enabling dynamic key management for key management or key expiration. To mitigate the damage to the confidentiality of all ciphertexts from short-term decryption key leakage, decryption key exposure resistance is proposed for RIBE, protecting other time periods’ ciphertexts. However, lots of high dimensional public key matrices and long ciphertexts are applied in lattice-based RIBE schemes with DKER, which leads to high computational overhead and high communication overhead. By replacing short basis trapdoor with NTRU trapdoor, revocable IBE with decryption key exposure resistance from NTRU lattice is proposed, which reduces the dimensions of public key matrices and shortens ciphertexts, thereby achieving higher efficiency. Additionally, under the RLWE assumption, RIBE with DKER from NTRU lattice is proved to be selective identity secure in the standard model.

DOI
10.1109/es64449.2025.11136462

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Revocable identity-based encryption (RIBE) adds a key revocation mechanism to traditional identity-based encryption (IBE), enabling dynamic key management for key management or key expiration. To mitigate the damage to the confidentiality of all ciphertexts from short-term decryption key leakage, decryption key exposure resistance is proposed for RIBE, protecting other time periods’ ciphertexts. However, lots of high dimensional public key matrices and long ciphertexts are applied in lattice-based RIBE schemes with DKER, which leads to high computational overhead and high communication overhead. By replacing short basis trapdoor with NTRU trapdoor, revocable IBE with decryption key exposure resistance from NTRU lattice is proposed, which reduces the dimensions of public key matrices and shortens ciphertexts, thereby achieving higher efficiency. Additionally, under the RLWE assumption, RIBE with DKER from NTRU lattice is proved to be selective identity secure in the standard model.
Revocable identity-based encryption (RIBE) enables data encryption without certificates and allows for the revocation of users, thereby offering a more streamlined and secure approach to dynamic member management. However, the existing revocation models lack strong scalability, rendering the RIBE scheme unsuitable for scenarios where the key generation center (KGC) experiences high workloads and users face heavy storage burdens. Therefore, this paper introduces an integrated revocation model that maintains both the workload for the KGC and the size of the secret keys at a constant level, while also relieving the encryptor of the burden of handling revocation information. By combining online and offline encryption, we construct an OO-IRIBE-EnDKER scheme from lattices, which possesses properties such as anonymity, decryption key exposure resistance (DKER), resistance to quantum computing attacks, and selective security. Finally, the effectiveness of the OO-IRIBE-EnDKER scheme is demonstrated through experimental results.
Revocable Identity-Based Encryption (RIBE) can dynamically revoke users whose secret keys have been compromised, ensuring a system's backward security. An RIBE scheme with decryption key exposure resistance (DKER) guarantees the confidentiality of ciphertext during any time period where the decryption key remains undisclosed. Existing RIBE schemes with DKER generate O(rlog(N/r)) ciphertexts for each plaintext message. Redundant ciphertexts impose significant computational burdens on users and substantial communication overhead on the system. To reduce high computation and communication overhead in existing schemes, this paper proposes a dual-key combination trapdoor generation method. Based on the proposed method, an indirect RIBE scheme with DKER is constructed, reducing ciphertext redundancy and obtaining computation and communication efficiency. Firstly, this paper proposes a dual-key combination trapdoor generation mechanism. By constructing an Inhomogeneous Small Integer Solution (ISIS) instance, the Key Generation Center (KGC) generates and distributes short bases to users as their identity keys. Subsequently, based on the constructed ISIS instance, a new inverse ISIS instance is derived. Furthermore, during each time period, KGC generates short bases for all non-revoked users as their time keys. By linearly combining their identity key with the corresponding time key, every non-revoked user can derive a re-randomized decryption key, achieving controlled key derivation. Secondly, based on the proposed method, a Post-Quantum Secure, Lightweight RIBE scheme with DKER (PQS-LRIBE-DKER) is constructed. For every non-revoked user, their identity key and time key serve as their own user secret key and key update, respectively. Controllable key derivation enables indirect revocation of the scheme. By adopting an indirect revocation, the PQS-LRIBE-DKER scheme achieves a single ciphertext per plaintext message, significantly reducing the sender's computational load and the system's communication overhead. Finally, under the hardness assumptions of the Learning with Errors (LWE) and ISIS problems, we prove that the proposed scheme achieves selective identity security in the standard model.
Revocable identity-based encryption (RIBE) is an extension of IBE that satisfies a key revocation mechanism to manage a number of users dynamically and efficiently. To resist quantum attacks, two adaptively secure lattice-based RIBE schemes are known in the (quantum) random oracle model ((Q)ROM). Wang et al.’s scheme that is secure in the ROM has large secret keys depending on the depth of a binary tree and its security reduction is not tight. Ma and Lin’s scheme that is secure in the QROM has large ciphertexts depending on the length of identities and is not anonymous. In this paper, we propose an adaptively secure lattice-based RIBE scheme that is secure in the QROM. Our scheme has compact parameters, where the ciphertext-size is smaller than Wang et al.’s scheme and the secret key size is the same as Ma and Lin’s scheme. Moreover, our scheme is anonymous and its security reduction is completely tight. We design the proposed scheme by modifying Ma–Lin’s scheme instantiated by the Gentry–Peikert–Vaikuntanathan (GPV) IBE. We can obtain the advantages of our scheme by making use of Katsumata et al.’s proof technique of the GPV IBE in the QROM.
Revocation functionality is necessary and crucial to identity-based cryptosystems. Revocable identity-based encryption (RIBE) has attracted a lot of attention in recent years, many RIBE schemes have been proposed in the literature but shown to be either insecure or inefficient. In this paper, we propose a new scalable RIBE scheme with decryption key exposure resilience by combining Lewko and Waters' identity-based encryption scheme and complete subtree method, and prove our RIBE scheme to be semantically secure using dual system encryption methodology. Compared to existing scalable and semantically secure RIBE schemes, our proposed RIBE scheme is more efficient in term of ciphertext size, public parameters size and decryption cost at price of a little looser security reduction. To the best of our knowledge, this is the first construction of scalable and semantically secure RIBE scheme with constant size public system parameters.
Abstract. In view of the expiration or reveal of user’s private credential (or private key) in a real-istic scenario, identity-based encryption (IBE) schemes with an efficient key revocation mechanism, or for short, revocable identity-based encryption (RIBE) schemes, become prominently significant. In this paper, we present an RIBE scheme from lattices by combining two Agrawal et al.’s IBE schemes with the subset difference (SD) method. Our scheme is secure against adaptive identity-time attacks in the standard model under the learning with errors (LWE) assumption. In particular, our scheme serves as one solution to the challenge posed by Chen et al. (ACISP ’12). 1
Abstract. In this paper, we present an identity-based encryption (IBE) scheme from lattices with efficient key revocation. We adopt multiple trapdoors from the Agrawal-Boneh-Boyen and Gentry-Peikerty-Vaikuntanathan lattice IBE schemes to realize key revocation, which in turn, makes use of binary-tree data structure. Using our scheme, key update requires logarithmic complexity in the maximal number of users and linear in the number of revoked users for the relevant key authority. We prove that our scheme is selective secure in the standard model and under the LWE assumption, which is as hard as the worst-case approximating short vectors on arbitrary lattices. Moreover, our key revocation techniques from lattices can be applied to obtain revocable functional encryption schemes in the similar setting.