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Functional encryption for computational hiding in prime order groups via pair encodings

机译：通过对编码在主顺序组中进行计算隐藏的功能加密

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摘要

Lewko and Waters introduced the computational hiding technique in Crypto'12. In their technique, two computational assumptions that achieve selective and co-selective security proofs lead to adaptive security of an encryption scheme. Later, pair encoding framework was introduced by Attrapadung in Eurocrypt'14. The pair encoding framework generalises the computational hiding technique for functional encryption (FE). It has been used to achieve a number of new FE schemes such as FE for regular languages and unbounded attribute based encryption allowing multi-use of attributes. Nevertheless, the generalised construction of Attrapadung's pair encoding for those schemes is adaptively secure only in composite order groups, which leads to efficiency loss. It remains a challenging task to explore constructions in prime order groups for gaining efficiency improvement, which leaves the research gap in the existing literature. In this work, we aim to address this drawback by proposing a new generalised construction for pair encodings in prime order groups. Our construction will lead to a number of new FE schemes in prime order groups, which have been previously introduced only in composite order groups by Attrapadung.
机译：Lewko和Waters在Crypto'12中引入了计算隐藏技术。在他们的技术中，实现选择性和共选择性安全性证明的两个计算假设导致了加密方案的自适应安全性。后来，Attrapadung在Eurocrypt'14中引入了配对编码框架。配对编码框架概括了用于功能加密（FE）的计算隐藏技术。它已用于实现许多新的FE方案，例如用于常规语言的FE和基于无限制属性的加密，从而允许属性的多次使用。但是，针对这些方案的Attrapadung对编码的一般构造仅在复合阶次组中才是自适应安全的，这会导致效率损失。探索主要订单组中的结构以提高效率仍然是一项艰巨的任务，这使现有文献中的研究空白。在这项工作中，我们旨在通过针对素数顺序组中的配对编码提出一种新的通用构造来解决这一缺陷。我们的构建将导致主要订单组中出现许多新的有限元方案，这些方案以前仅由Attrapadung引入复合订单组中。

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  • 来源
    《Designs, Codes and Crytography》 |2018年第1期|97-120|共24页
  • 作者

    Kim Jongkil; Susilo Willy; Guo Fuchun; Au Man Ho;

  • 作者单位

    Univ Wollongong, Sch Comp & Informat Technol, Ctr Comp & Informat Secur Res, Wollongong, NSW, Australia;

    Univ Wollongong, Sch Comp & Informat Technol, Ctr Comp & Informat Secur Res, Wollongong, NSW, Australia;

    Univ Wollongong, Sch Comp & Informat Technol, Ctr Comp & Informat Secur Res, Wollongong, NSW, Australia;

    Hong Kong Polytech Univ, Kowloon, Hong Kong, Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Pair encodings; Prime order groups; Computational hiding; Functional encryption;

    机译：配对编码;主要订单组;计算隐藏;功能加密;

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