Some Open Problems in Information-Theoretic Cryptography

Some Open Problems in Information-Theoretic Cryptography
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信息论密码学中的一些悬而未决的问题

DOI:
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发表时间:
2017
期刊:
Foundations of Software Technology and Theoretical Computer Science
影响因子:
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通讯作者:
V. Vaikuntanathan
V. Vaikuntanathan
中科院分区:
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文献类型:
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作者:
V. Vaikuntanathan

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信息论密码学充满了具有通信复杂性的开放问题。我们将描述在隐私信息检索、安全多方计算、秘密共享、私有同步消息(PSM)和条件秘密披露(CDS)研究中出现的几个此类问题。在所有这些情况下,最著名的上限和下限之间存在巨大(指数)差距。我们还将描述这些旧问题和新问题之间的联系。
Information-theoretic cryptography is full of open problems with a communication-complexity flavor. We will describe several such problems that arise in the study of private information retrieval, secure multi-party computation, secret sharing, private simultaneous messages (PSM) and conditional disclosure of secrets (CDS). In all these cases, there is a huge (exponential) gap between the best known upper and lower bounds. We will also describe the connections between these problems, some old and some new.