(Deterministic) hierarchical identity-based encryption from learning with rounding over small modulus
In this paper, we propose a hierarchical identity-based encryption (HIBE) scheme in the random oracle (RO) model based on the learning with rounding (LWR) problem over small modulus $q$. Compared with the previous HIBE schemes based on the learning with errors (LWE) problem, the ciphertext expansion...
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Main Authors: | , , , , , |
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Format: | text |
Language: | English |
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Institutional Knowledge at Singapore Management University
2016
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Online Access: | https://ink.library.smu.edu.sg/sis_research/9181 https://ink.library.smu.edu.sg/context/sis_research/article/10186/viewcontent/2897845.2897922.pdf |
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Institution: | Singapore Management University |
Language: | English |
Summary: | In this paper, we propose a hierarchical identity-based encryption (HIBE) scheme in the random oracle (RO) model based on the learning with rounding (LWR) problem over small modulus $q$. Compared with the previous HIBE schemes based on the learning with errors (LWE) problem, the ciphertext expansion ratio of our scheme can be decreased to 1/2. Then, we utilize the HIBE scheme to construct a deterministic hierarchical identity-based encryption (D-HIBE) scheme based on the LWR problem over small modulus. Finally, with the technique of binary tree encryption (BTE) we can construct HIBE and D-HIBE schemes in the standard model based on the LWR problem over small modulus. |
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