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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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Cryptography in radio frequency identification and fair exchange protocols

Gildas Avoine
TL;DR: This PhD thesis focuses on fair exchange protocols and radio frequency identification protocols, and proposes two approaches to overcome this problem by attaching to each person, a guardian angel, that is, a security module conceived by a trustworthy authority and whose behavior cannot deviate from the established rules.
Book ChapterDOI

ID-Based proxy signature using bilinear pairings

TL;DR: In this paper, the authors formalize a notion of security for ID-based proxy signature schemes and propose a scheme based on the bilinear pairings, which is tightly related to the computational Diffie-Hellman assumption in the random oracle model.
Journal ArticleDOI

Programmable Hash Functions and Their Applications

TL;DR: This work introduces a new combinatorial primitive called programmable hash functions (PHFs), which can be used to program the output of a hash function such that it contains solved or unsolved discrete logarithm instances with a certain probability.
Proceedings ArticleDOI

A Privacy-Preserving Scheme for Online Social Networks with Efficient Revocation

TL;DR: A privacy-preserving scheme for data sharing in OSNs, with efficient revocation for deterring a contact's access right to the private data once the contact is removed from the social group is proposed.
Book ChapterDOI

Hardware Implementation of Finite Fields of Characteristic Three

TL;DR: A hardware oriented representation of the field elements is examined, comparing the resulting algorithms for field addition and multiplication operations, and it is shown that characteristic three arithmetic need not significantly under-perform comparable characteristic two alternatives.
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.