New pseudorandom functions based on SIS

Pseudorandom functions are vital tools in the construction of cryptographic primitives.Under the hard assumption of SIS (short integer solution),two lattice-based pseudorandom functions are proposed.The first one has parallel structure by the ideal of tree-like pseudorandom synthesizer,and the secon...

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Bibliographic Details
Main Authors: He-feng CHEN, Wen-ping MA, Sheng GAO, Cheng-li ZHANG
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2014-10-01
Series:Tongxin xuebao
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Online Access:http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2014.10.016/
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Summary:Pseudorandom functions are vital tools in the construction of cryptographic primitives.Under the hard assumption of SIS (short integer solution),two lattice-based pseudorandom functions are proposed.The first one has parallel structure by the ideal of tree-like pseudorandom synthesizer,and the second one is serial structure whose public key size is reduced.Both constructions have small modulus and provable security.Compared with A Banerjer,C Peikert and A Rosen’s construction (EUROCRYPT 2012),their key sizes are asymptotically smaller,and efficiency are improved by avoiding the “rounding” technology.
ISSN:1000-436X