Abstract
Chameleon all-but-one trapdoor functions (ABO-TDFs) were introduced by Lai et al. An important component of the existing constructions of chameleon ABO-TDFs based on the decisional Diffie-Hellman (DDH) assumption was the chameleon hash functions. In this paper, we instantiate the first chameleon ABO-TDFs based on DDH free of chameleon hash functions.
Similar content being viewed by others
References
Naor M, Yung M. Public-key cryptosystems provably secure against chosen ciphertext attacks [C]//Proceedings of the Twenty-Second Annual ACM Symposium on Theory of Computing. New York, USA: ACM, 1990: 427–437.
Rivest R L, Shamir A, Adleman L. A method for obtaining digital signatures and public-key cryptosystems [J]. Communications of the ACM, 1978, 21(2): 120–126.
Peikert C, Waters B. Lossy trapdoor functions and their applications [J]. SIAM Journal on Computing, 2011, 40(6): 1803–1844.
Håstad J, Impagliazzo R, Levin L A, et al. A pseudorandom generator from any one-way function [J]. SIAM Journal on Computing, 1999, 28(4): 1364–1396.
Naor M, Yung M. Universal one-way hash functions and their cryptographic applications [C]//Proceedings of the Twenty-First Annual ACM Symposium on Theory of Computing. New York, USA: ACM, 1989: 33–43.
Bellare M, Kiltz E, Peikert C, et al. Identitybased (lossy) trapdoor functions and applications [M]. Berlin: Springer, 2012: 228–245.
Boldyreva A, Fehr S, O’Neill A. On notions of security for deterministic encryption, and efficient constructions without random oracles [M]. Berlin: Springer, 2008: 335–359.
Bellare M, Hofheinz D, Yilek S. Possibility and impossibility results for encryption and commitment secure under selective opening [M]. Berlin: Springer, 2009: 1–35.
Freeman D M, Goldreich O, Kiltz E, et al. More constructions of lossy and correlation-secure trapdoor functions [J]. Journal of Cryptology, 2013, 26(1): 39–74.
Lai J, Deng R H, Liu S. Chameleon all-but-one TDFs and their application to chosen-ciphertext security [M]. Berlin: Springer, 2011: 228–245.
Hemenway B, Ostrovsky R. Lossy trapdoor functions from smooth homomorphic hash proof systems [C]//Electronic Colloquium on Computational Complexity (ECCC). Trier, Germany: ECCC, 2009: 127–127.
Hemenway B, Ostrovsky R. On homomorphic encryption and chosen-ciphertext security [M]. Berlin: Springer, 2012: 52–65.
Kiltz E, O’Neill A, Smith A. Instantiability of RSA-OAEP under chosen-plaintext attack [M]. Berlin: Springer, 2010: 295–313.
Cachin C, Micali S, Stadler M. Computationally private information retrieval with polylogarithmic communication [C]//Advances in Cryptology-EUROCRYPT’99. Berlin: Springer, 1999: 402–414.
Rosen A, Segev G. Chosen-ciphertext security via correlated products [J]. SIAM Journal on Computing, 2010, 39(7): 3058–3088.
Mol P, Yilek S. Chosen-ciphertext security from slightly lossy trapdoor functions [M]. Berlin: Springer, 2010: 296–311.
Damgård I, Jurik M. A generalisation, a simplification and some applications of paillier’s probabilistic public-key system [C]//Public Key Cryptography. Berlin: Springer, 2001: 119–136.
Liu S, Lai J, Deng R H. General construction of chameleon all-but-one trapdoor functions [M]. Berlin: Springer, 2011: 257–265.
Krawczyk H, Rabin T. Chameleon hashing and signatures [C]//Proceedings of the Network and Distributed System Security Symposium. Reston, Virginia, USA: The Internet Society, 2000: 143–154.
Boneh D. The decision diffie-hellman problem [M]. Berlin: Springer, 1998: 48–63.
Boneh D, Halevi S, Hamburg M, et al. Circularsecure encryption from decision diffie-hellman [M]. Berlin: Springer, 2008: 108–125.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: the National Natural Science Foundation of China (Nos. 61373153 and 61170229), the Specialized Research Fund for the Doctoral Program of Higher Education (No. 20110073110016), and the Scientific Innovation Projects of Shanghai Municipal Education Committee (No. 12ZZ021)
Rights and permissions
About this article
Cite this article
Xu, Yd., Liu, Sl. One construction of chameleon all-but-one trapdoor functions. J. Shanghai Jiaotong Univ. (Sci.) 19, 412–417 (2014). https://doi.org/10.1007/s12204-014-1517-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12204-014-1517-3
Key words
- lossy trapdoor functions
- chameleon all-but-one trapdoor functions
- decisional Diffie-Hellman assumption