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The construction of ambiguous optimistic fair exchange from designated confirmer signature without random oracles

机译：从没有随机预言的指定确认者签名构造模糊乐观公平交换

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摘要

Ambiguous Optimistic Fair Exchange (AOFE), introduced by Huang et al. in ASIACRYPT 2008, is an extension of OFE that enhances the fairness of the two communicating parties in the exchange of signatures. The first scheme was proven secure without random oracles while its partial signature contains dozens of group elements. Recently, interactive AOFE was introduced and the construction is more practical, where a partial signature only contains three group elements. It is based on the existence of Designated Confirmer Signature (DCS) with a special property where one is able to sample a confirmer signature efficiently from a signer's signature space. Nevertheless, we note that there are only a few DCS schemes that have this special property. Security of the interactive AOFE construction relies on the q-Computational and Decisional Hidden Strong Diffie-Hellman assumptions. In this paper, we propose a new construction of interactive AOFE from DCS, where the underlying DCS is standard and does not require any special property. We also propose a new DCS construction. By applying our transformation from DCS to interactive AOFE, we build a concrete interactive AOFE which is secure under more standard number-theoretic assumptions, namely Strong Diffie-Hellman and Decision Linear assumptions, without random oracles. A partial signature of the interactive AOFE contains six group elements, while a full signature contains two only.
机译：由Huang等人介绍的模糊乐观公平交易（AOFE）。在ASIACRYPT 2008中，它是OFE的扩展，它增强了两个通信方在交换签名时的公平性。第一种方案经证明是安全的，没有随机预言，而其部分签名包含数十个组元素。最近，引入了交互式AOFE，并且其构造更加实用，其中部分签名仅包含三个组元素。它基于具有特殊属性的指定确认者签名（DCS）的存在，在该属性中，人们可以从签名者的签名空间中高效采样确认者签名。尽管如此，我们注意到只有少数具有这种特殊性质的DCS方案。交互式AOFE构造的安全性取决于q计算和决策隐藏强Diffie-Hellman假设。在本文中，我们提出了一种来自DCS的交互式AOFE的新结构，其中底层DCS是标准的，不需要任何特殊属性。我们还提出了新的DCS结构。通过将我们从DCS转换为交互式AOFE，我们构建了一个具体的交互式AOFE，它在更标准的数论假设（即Strong Diffie-Hellman和Decision Linear假设）下是安全的，没有随机预言。交互式AOFE的部分签名包含六个组元素，而完整的签名仅包含两个。

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