Abstract. Identity-based encryption (IBE) is a special asymmetric encryption method where a public encryption key can be an arbitrary identifier and the corresponding private decryption key is created by binding the identifier with a system’s master secret. In 2003 Sakai and Kasahara proposed a new IBE scheme, which has the potential to improve performance. However, to our best knowledge, the security of their scheme has not been properly investigated. This work is intended to build confidence in the security of the Sakai-Kasahara IBE scheme. In this paper, we first present an efficient IBE scheme that employs a simple version of the Sakai-Kasahara scheme and the Fujisaki-Okamoto transformation, which we refer to as SK-IBE. We then prove that SK-IBE has chosen ciphertext security in the random oracle model based on a reasonably well-explored hardness assumption. 1
|
974
|
Random oracles are practical: a paradigm for designing efficient protocols
– Bellare, Rogaway
- 1993
|
|
660
|
A digital signature scheme secure against adaptive chosen-message attacks
– Goldwasser, Micali, et al.
- 1988
|
|
375
|
Identity-based cryptosystems and signature schemes
– Shamir
- 1984
|
|
365
|
The Arithmetic of Elliptic Curves
– Silverman
- 1986
|
|
327
|
Short signatures from the Weil pairing
– Boneh, Lynn, et al.
- 2001
|
|
263
|
The exact security of digital signatures: How to sign with RSA and Rabin
– Bellare, Rogaway
- 1996
|
|
136
|
Identity based encryption from the Weil pairing
– Boneh, Franklin
- 2001
|
|
136
|
Secure integration of asymmetric and symmetric encryption schemes
– Fujisaki, Okamoto
- 1999
|
|
118
|
Short Signatures without Random Oracles
– Boneh, Boyen
- 2004
|
|
109
|
Cryptosystems based on pairing
– Sakai, Ohgishi, et al.
- 2000
|
|
91
|
An Identity-Based Signature from Gap Diffie-Hellman Groups
– Cha, Cheon
- 2003
|
|
91
|
Efficient identity based signature schemes based on pairings
– Hess
- 2002
|
|
88
|
A forward-secure public-key encryption scheme
– Canetti, Halevi, et al.
- 2003
|
|
86
|
Efficient identity-based encryption without random oracles
– Waters
- 2005
|
|
81
|
Chosen-ciphertext security from identity-based encryption
– Canetti, Halevi, et al.
- 2004
|
|
62
|
An identity based authenticated key agreement protocol based on the Weil pairing
– Smart
- 2002
|
|
49
|
How to Enhance the Security of Public-Key Encryption at Minimum Cost
– Fujisaki, Okamoto
- 1999
|
|
40
|
A new traitor tracing
– Mitsunari, Sakai, et al.
- 2002
|
|
39
|
Information technology - Security techniques - Digital signature scheme giving message recovery, Part 2 : Mechanisms using a hash-function
– ISOIEC
- 1991
|
|
39
|
Efficient selective-id secure identity-based encryption without random oracles
– Boneh, Boyen
- 2004
|
|
38
|
A new two-party identity-based authenticated key agreement
– McCullagh, Barreto
- 2005
|
|
34
|
An efficient signature scheme from bilinear pairings and its applications
– Zhang, Safavi-Naini, et al.
- 2004
|
|
28
|
Multipurpose identity-based signcryption: A swiss army knife for identity-based cryptography
– Boyen
- 2003
|
|
27
|
Efficient selective-ID secure identity-based encryption without random oracles
– Boneh, Boyen
- 2004
|
|
26
|
ID based cryptosystems with pairing on elliptic curve. Cryptology ePrint Archive, Report 2003/054
– Sakai, Kasahara
- 2003
|
|
25
|
Compressed pairings
– Scott, Barreto
- 2004
|
|
18
|
Information technology - Security techniques - Key management - Part 3: Mechanisms using asymmetric techniques
– ISOIEC
- 1999
|
|
17
|
An efficient signature scheme from bilinear pairings and its applications
– Zhang, Safavi-Naini, et al.
- 2004
|
|
15
|
Cryptosystems Based on Pairing over Elliptic Curve
– Sakai, Kasahara
- 2001
|
|
14
|
Computing the Tate pairing
– Scott
- 2005
|
|
11
|
On the indistinguishability-based security model of key agreement protocols-simple cases
– Cheng, Nistazakis, et al.
- 2004
|
|
10
|
An Identity-Based Encryption Scheme Based on Quadratic Residues
– Cocks
- 2001
|
|
10
|
On computable isomorphisms in efficient pairing based systems. Cryptology ePrint Archive, Report 2005/116
– Smart, Vercauteren
- 2005
|
|
8
|
On security proof of McCullagh-Barreto’s key agreement protocol and its variants. Cryptology ePrint Archive, Report 2005/201
– Cheng, Chen
- 2005
|
|
8
|
Boneh-Franklin identity based encryption revisited
– Galindo
- 2005
|
|
7
|
New traitor tracing schemes using bilinear map
– T, Safavi-Naini, et al.
- 2003
|
|
5
|
Secure identity-based encryption without random oracles
– Boneh, Boyen
- 2004
|
|
5
|
Improved identity-based signcryption
– Chen, Malone-Lee
- 2005
|
|
5
|
Efficient and forward-secure identity-based signcryption. Available on Cryptology ePrint Archive, Report 2004/117
– McCullagh, Barreto
- 2004
|
|
4
|
Tight reductions among strong diffie-hellman assumptions. Cryptology ePrint Archive, Report 2005/057
– Wei
- 2005
|
|
3
|
Identity-based authenticated key agreement from pairings
– Chen, Kudla
- 2003
|
|
2
|
Security Notions for Identity Based Encryption
– Galindo, Hasuo
- 2005
|
|
1
|
See also Cryptology ePrint Archive, Report 2002/184
– Chen, Malone-Lee
- 2003
|
|
1
|
Cryptosystems based on pairing. The 2000 Symposium on Cryptography and Information Security
– Sakai, Ohgishi, et al.
|