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Short Signatures from the Weil Pairing

TLDR
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.
Abstract
We introduce a short signature scheme based on the Computational Diffie-Hellman assumption on certain elliptic and hyperelliptic curves. The signature length is half the size of a DSA signature for a similar level of security. Our short signature scheme is designed for systems where signatures are typed in by a human or signatures are sent over a low-bandwidth channel.

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Citations
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Journal ArticleDOI

Provable multiple replication data possession with full dynamics for secure cloud storage

TL;DR: This paper proposes a provable multiple replication data possession protocol with full dynamics, named MR‐DPDP, and utilizes a novel authenticated data structure called Merkle hash tree with rank to support both full dynamic data updates and efficient integrity verification.
Book ChapterDOI

Boneh et al.'s k-Element Aggregate Extraction Assumption Is Equivalent to the Diffie-Hellman Assumption

TL;DR: Boneh et al. as discussed by the authors proposed an aggregate signature scheme, which is a digital signature that supports aggregation, i.e. given k signatures on k distinct messages from k different users, it is possible to aggregate all these signatures into a single short signature.
Book ChapterDOI

Aggregate Cash Systems: A Cryptographic Investigation of Mimblewimble.

TL;DR: Mimblewimble is an electronic cash system that combines several privacy-enhancing techniques initially envisioned for Bitcoin, such as Confidential Transactions, which results in tremendous space savings for the ledger and efficiency gains for new users, who must verify their view of the system.
Journal ArticleDOI

FRR: Fair remote retrieval of outsourced private medical records in electronic health networks

TL;DR: This paper realizes the first FRR scheme by exploiting fair multi-member key exchange and homomorphic privately verifiable tags and is provably secure in the random oracle model (ROM).
References
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Book

Handbook of Applied Cryptography

TL;DR: A valuable reference for the novice as well as for the expert who needs a wider scope of coverage within the area of cryptography, this book provides easy and rapid access of information and includes more than 200 algorithms and protocols.
Proceedings ArticleDOI

Random oracles are practical: a paradigm for designing efficient protocols

TL;DR: It is argued that the random oracles model—where all parties have access to a public random oracle—provides a bridge between cryptographic theory and cryptographic practice, and yields protocols much more efficient than standard ones while retaining many of the advantages of provable security.
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

The Arithmetic of Elliptic Curves

TL;DR: It is shown here how Elliptic Curves over Finite Fields, Local Fields, and Global Fields affect the geometry of the elliptic curves.
Journal ArticleDOI

A digital signature scheme secure against adaptive chosen-message attacks

TL;DR: A digital signature scheme based on the computational difficulty of integer factorization possesses the novel property of being robust against an adaptive chosen-message attack: an adversary who receives signatures for messages of his choice cannot later forge the signature of even a single additional message.