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首页> 外文期刊>Information Theory, IEEE Transactions on >Achieving Oblivious Transfer Capacity of Generalized Erasure Channels in the Malicious Model
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Achieving Oblivious Transfer Capacity of Generalized Erasure Channels in the Malicious Model

机译：在恶意模型中实现广义擦除通道的遗忘转移容量

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摘要

Information-theoretically secure string oblivious transfer (OT) can be constructed based on discrete memoryless channel (DMC). The oblivious transfer capacity of a channel characterizes—similarly to the (standard) information capacity—how efficiently it can be exploited for secure oblivious transfer of strings. The OT capacity of a generalized erasure channel (GEC)—which is a combination of a (general) DMC with the erasure channel—has been established by Ahlswede and Csizar at ISIT''07 in the case of passive adversaries. In this paper, we present the protocol that achieves this capacity against malicious adversaries for GEC with erasure probability at least 1/2. Our construction is based on the protocol of Crépeau and Savvides from Eurocrypt''06 which uses interactive hashing (IH). We solve an open question posed by the above paper, by basing it upon a constant round IH scheme (previously proposed by Ding at TCC''04). As a side result, we show that the Ding IH protocol can deal with transmission errors.
机译：信息理论上安全的字符串遗忘传输（OT）可以基于离散无记忆通道（DMC）构建。与（标准）信息容量类似，通道的遗忘传输容量具有表征如何有效利用它来安全地遗忘字符串传输的特征。对于被动对手，Ahlswede和Csizar已在ISIT''07上建立了通用擦除通道（GEC）的OT能力，GEC是（通用）DMC与擦除通道的组合。在本文中，我们提出了针对GEC恶意对手实现此功能的协议，其擦除概率至少为1/2。我们的构建基于Eurocrypt''06的Crépeau和Savvides协议，该协议使用交互式哈希（IH）。我们基于一个恒定的IH方案解决了上述论文提出的一个开放性问题（先前由Ding在TCC''04提出）。附带的结果，我们表明Ding IH协议可以处理传输错误。

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