Publication Type

Conference Proceeding Article

Version

publishedVersion

Publication Date

10-2014

Abstract

Peikert and Waters proposed the notion of lossy trapdoor function in STOC 2008. In this paper, we propose a relaxation of lossy trapdoor function, called lossy trapdoor relation. Unlike the lossy trapdoor function, lossy trapdoor relation does not require completely recovering the input but a public computable injective map of it. Interestingly, the lossy trapdoor relation maintains the application of lossy trapdoor function on the lossy encryption. Moreover, motivated by the construction of adaptive trapdoor relation proposed by Wee (Crypto 2010), we introduce all-but-one verifiable lossy trapdoor relation which is in fact a relaxation of all-but-one lossy trapdoor function. – The lossy trapdoor relation can be constructed from discrete logarithm related assumptions and subgroup membership assumptions efficiently. We also give an efficient construction of all-but-one verifiable lossy trapdoor relation from DLDH assumption over pairing group. As a byproduct, we propose an all-but-one lossy trapdoor function directly based on DLDH assumption which partially solve the open problem of Freeman et al. (PKC 2010). – The lossy trapdoor relation has a direct application to the lossy encryption and we propose new lossy encryptions based on three subgroup membership assumptions. The all-but-one verifiable lossy trapdoor relation can be used to construct adaptive trapdoor relation, which derives chosen ciphertext secure encryption.

Keywords

Lossy trapdoor relation, Lossy trapdoor functions, Lossy encryption, Adaptive trapdoor relation

Discipline

Information Security

Research Areas

Cybersecurity

Areas of Excellence

Digital transformation

Publication

Proceedings of the 8th International Conference, ProvSec 2014, Hong Kong, China, October 9-10

First Page

162

Last Page

177

ISBN

9783319124759

Identifier

10.1007/978-3-319-12475-9_12

Publisher

Springer

City or Country

Cham

Copyright Owner and License

Authors

Additional URL

https://doi.org/10.1007/978-3-319-12475-9_12

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