Short signature from the Weil pairing (2001)

by D Boneh, B Lynn, H Shacham
Venue:Advances in Cryptology - Asiacrypt 2001, LNCS
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Identity-Based Encryption from the Weil Pairing

by Dan Boneh, Matthew Franklin , 2001
"... We propose a fully functional identity-based encryption scheme (IBE). The scheme has chosen ciphertext security in the random oracle model assuming an elliptic curve variant of the computational Diffie-Hellman problem. Our system is based on bilinear maps between groups. The Weil pairing on elliptic ..."
Abstract - Cited by 1748 (28 self) - Add to MetaCart
We propose a fully functional identity-based encryption scheme (IBE). The scheme has chosen ciphertext security in the random oracle model assuming an elliptic curve variant of the computational Diffie-Hellman problem. Our system is based on bilinear maps between groups. The Weil pairing on elliptic curves is an example of such a map. We give precise definitions for secure identity based encryption schemes and give several applications for such systems.
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Short Signatures without Random Oracles

by Dan Boneh, Xavier Boyen , 2004
"... We describe a short signature scheme which is existentially unforgeable under a chosen message attack without using random oracles. The security of our scheme depends on a new complexity assumption we call the Strong Di#e-Hellman assumption. This assumption has similar properties to the Strong RS ..."
Abstract - Cited by 393 (11 self) - Add to MetaCart
We describe a short signature scheme which is existentially unforgeable under a chosen message attack without using random oracles. The security of our scheme depends on a new complexity assumption we call the Strong Di#e-Hellman assumption. This assumption has similar properties to the Strong RSA assumption, hence the name. Strong RSA was previously used to construct signature schemes without random oracles. However, signatures generated by our scheme are much shorter and simpler than signatures from schemes based on Strong RSA.

Short group signatures

by Dan Boneh, Xavier Boyen, Hovav Shacham - In proceedings of CRYPTO ’04, LNCS series , 2004
"... Abstract. We construct a short group signature scheme. Signatures in our scheme are approximately the size of a standard RSA signature with the same security. Security of our group signature is based on the Strong Diffie-Hellman assumption and a new assumption in bilinear groups called the Decision ..."
Abstract - Cited by 386 (19 self) - Add to MetaCart
Abstract. We construct a short group signature scheme. Signatures in our scheme are approximately the size of a standard RSA signature with the same security. Security of our group signature is based on the Strong Diffie-Hellman assumption and a new assumption in bilinear groups called the Decision Linear assumption. We prove security of our system, in the random oracle model, using a variant of the security definition for group signatures recently given by Bellare, Micciancio, and Warinschi. 1
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Efficient algorithms for pairing-based cryptosystems

by Paulo S. L. M. Barreto, Hae Y. Kim, Ben Lynn, Michael Scott , 2002
"... We describe fast new algorithms to implement recent cryptosystems based on the Tate pairing. In particular, our techniques improve pairing evaluation speed by a factor of about 55 compared to previously known methods in characteristic 3, and attain performance comparable to that of RSA in larger ch ..."
Abstract - Cited by 367 (24 self) - Add to MetaCart
We describe fast new algorithms to implement recent cryptosystems based on the Tate pairing. In particular, our techniques improve pairing evaluation speed by a factor of about 55 compared to previously known methods in characteristic 3, and attain performance comparable to that of RSA in larger characteristics. We also propose faster algorithms for scalar multiplication in characteristic 3 and square root extraction over Fpm, the latter technique being also useful in contexts other than that of pairing-based cryptography.
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Efficient identity-based encryption without random oracles

by Brent Waters , 2005
"... We present the first efficient Identity-Based Encryption (IBE) scheme that is fully secure without random oracles. We first present our IBE construction and reduce the security of our scheme to the decisional Bilinear Diffie-Hellman (BDH) problem. Additionally, we show that our techniques can be use ..."
Abstract - Cited by 346 (19 self) - Add to MetaCart
We present the first efficient Identity-Based Encryption (IBE) scheme that is fully secure without random oracles. We first present our IBE construction and reduce the security of our scheme to the decisional Bilinear Diffie-Hellman (BDH) problem. Additionally, we show that our techniques can be used to build a new signature scheme that is secure under the computational Diffie-Hellman assumption without random oracles. 1
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Aggregate and Verifiably Encrypted Signatures from Bilinear Maps

by Dan Boneh, Craig Gentry, Ben Lynn, Hovav Shacham , 2002
"... An aggregate signature scheme is a digital signature that supports aggregation: Given n signatures on n distinct messages from n distinct users, it is possible to aggregate all these signatures into a single short signature. This single signature (and the n original messages) will convince the verif ..."
Abstract - Cited by 336 (12 self) - Add to MetaCart
An aggregate signature scheme is a digital signature that supports aggregation: Given n signatures on n distinct messages from n distinct users, it is possible to aggregate all these signatures into a single short signature. This single signature (and the n original messages) will convince the verifier that the n users did indeed sign the n original messages (i.e., user i signed message M i for i = 1; : : : ; n). In this paper we introduce the concept of an aggregate signature scheme, present security models for such signatures, and give several applications for aggregate signatures. We construct an efficient aggregate signature from a recent short signature scheme based on bilinear maps due to Boneh, Lynn, and Shacham. Aggregate signatures are useful for reducing the size of certificate chains (by aggregating all signatures in the chain) and for reducing message size in secure routing protocols such as SBGP. We also show that aggregate signatures give rise to verifiably encrypted signatures. Such signatures enable the verifier to test that a given ciphertext C is the encryption of a signature on a given message M . Verifiably encrypted signatures are used in contract-signing protocols. Finally, we show that similar ideas can be used to extend the short signature scheme to give simple ring signatures.
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Chosen-Ciphertext Security from Identity-Based Encryption. Adv

by Dan Boneh, Ran Canetti, Shai Halevi, Jonathan Katz - in Cryptology — Eurocrypt 2004, LNCS , 2004
"... We propose simple and efficient CCA-secure public-key encryption schemes (i.e., schemes secure against adaptive chosen-ciphertext attacks) based on any identity-based encryption (IBE) scheme. Our constructions have ramifications of both theoretical and practical interest. First, our schemes give a n ..."
Abstract - Cited by 280 (13 self) - Add to MetaCart
We propose simple and efficient CCA-secure public-key encryption schemes (i.e., schemes secure against adaptive chosen-ciphertext attacks) based on any identity-based encryption (IBE) scheme. Our constructions have ramifications of both theoretical and practical interest. First, our schemes give a new paradigm for achieving CCA-security; this paradigm avoids “proofs of well-formedness ” that have been shown to underlie previous constructions. Second, instantiating our construction using known IBE constructions we obtain CCA-secure encryption schemes whose performance is competitive with the most efficient CCA-secure schemes to date. Our techniques extend naturally to give an efficient method for securing also IBE schemes (even hierarchical ones) against adaptive chosen-ciphertext attacks. Coupled with previous work, this gives the first efficient constructions of CCA-secure IBE schemes. 1

Hierarchical identity based encryption with constant size ciphertext

by Dan Boneh, Xavier Boyen, Eu-jin Goh , 2005
"... ..."
Abstract - Cited by 269 (12 self) - Add to MetaCart
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Hierarchical ID-Based Cryptography

by Craig Gentry, Alice Silverberg , 2002
"... 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. ..."
Abstract - Cited by 257 (3 self) - Add to MetaCart
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.

Improved proxy re-encryption schemes with applications to secure distributed storage

by Giuseppe Ateniese, Kevin Fu, Matthew Green, Susan Hohenberger - IN NDSS , 2005
"... In 1998, Blaze, Bleumer, and Strauss proposed an application called atomic proxy re-encryption, in which a semi-trusted proxy converts a ciphertext for Alice into a ciphertext for Bob without seeing the underlying plaintext. We predict that fast and secure re-encryption will become increasingly popu ..."
Abstract - Cited by 203 (15 self) - Add to MetaCart
In 1998, Blaze, Bleumer, and Strauss proposed an application called atomic proxy re-encryption, in which a semi-trusted proxy converts a ciphertext for Alice into a ciphertext for Bob without seeing the underlying plaintext. We predict that fast and secure re-encryption will become increasingly popular as a method for managing encrypted file systems. Although efficiently computable, the wide-spread adoption of BBS re-encryption has been hindered by considerable security risks. Following recent work of Ivan and Dodis, we present new re-encryption schemes that realize a stronger notion of security and we demonstrate the usefulness of proxy reencryption as a method of adding access control to the SFS read-only file system. Performance measurements of our experimental file system demonstrate that proxy re-encryption can work effectively in practice.