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Open AccessBook ChapterDOI

Hierarchical ID-Based Cryptography

TLDR
In this article, the authors presented hierarchical identity-based encryption schemes and signature schemes that have total collusion resistance on an arbitrary number of levels and that have chosen ciphertext security in the random oracle model assuming the difficulty of the Bilinear Diffie-Hellman problem.
Abstract
We present hierarchical identity-based encryption schemes and signature schemes that have total collusion resistance on an arbitrary number of levels and that have chosen ciphertext security in the random oracle model assuming the difficulty of the Bilinear Diffie-Hellman problem.

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Citations
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Proceedings ArticleDOI

Attribute-based encryption for fine-grained access control of encrypted data

TL;DR: This work develops a new cryptosystem for fine-grained sharing of encrypted data that is compatible with Hierarchical Identity-Based Encryption (HIBE), and demonstrates the applicability of the construction to sharing of audit-log information and broadcast encryption.
Book

Guide to Elliptic Curve Cryptography

TL;DR: This guide explains the basic mathematics, describes state-of-the-art implementation methods, and presents standardized protocols for public-key encryption, digital signatures, and key establishment, as well as side-channel attacks and countermeasures.
Book ChapterDOI

Efficient identity-based encryption without random oracles

TL;DR: This work first presents their IBE construction and reduces the security of the scheme to the decisional Bilinear Diffie-Hellman (BDH) problem, and shows that their techniques can be used to build a new signature scheme that is secure under the computational Diffie -Hellman assumption without random oracles.
Book ChapterDOI

Efficient Selective-ID Secure Identity-Based Encryption Without Random Oracles

TL;DR: The first secure IBE scheme without random oracles was presented in this article, where the adversary must commit ahead of time to the identity that it intends to attack, whereas in the standard model the adversary is allowed to choose this identity adaptively.
Book ChapterDOI

Aggregate and verifiably encrypted signatures from bilinear maps

TL;DR: In this article, Boneh, Lynn, and Shacham introduced the concept of an aggregate signature, presented security models for such signatures, and gave several applications for aggregate signatures.
References
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Book ChapterDOI

Identity-based cryptosystems and signature schemes

TL;DR: In this article, the authors introduce a novel type of cryptographic scheme, which enables any pair of users to communicate securely and to verify each other's signatures without exchanging private or public keys, without keeping key directories, and without using the services of a third party.
Journal ArticleDOI

Identity-Based Encryption from the Weil Pairing

TL;DR: This work proposes a fully functional identity-based encryption (IBE) scheme based on bilinear maps between groups and gives precise definitions for secure IBE schemes and gives several applications for such systems.
Book ChapterDOI

Short Signatures from the Weil Pairing

TL;DR: A short signature scheme based on the Computational Diffie-Hellman assumption on certain elliptic and hyperelliptic curves is introduced, designed for systems where signatures are typed in by a human or signatures are sent over a low-bandwidth channel.
Book ChapterDOI

An Identity Based Encryption Scheme Based on Quadratic Residues

TL;DR: A novel public key cryptosystem in which the public key of a subscriber can be chosen to be a publicly known value, such as his identity, which is related to the difficulty of solving the quadratic residuosity problem.
Book ChapterDOI

Perfectly-Secure Key Distribution for Dynamic Conferences

TL;DR: This paper considers the model where interaction is allowed in the common key computation phase, and shows a gap between the models by exhibiting an interactive scheme in which the user's information is only k + t - 1 times the size of the commonKey.