Abstract A (k, n)-threshold secret image sharing (SIS) scheme protects a secret image by dividing it into n shadow images. When any k or more shadow images are collected, the secret image is reconstructed. While any ( k − 1 ) or fewer shadows give no clue about the secret. However, all previous SIS schemes do not deal with secure secret image recovery over distributed cloud network (DCN). To achieve the goal that reconstructing secret over DCN, private communication channels among all involved participants holding shadow images are required. A naive solution for this problem is to use an extra key distribution protocol that delivers a common key to all participants. In this paper, two (k, n)-SIS schemes over DCN (SISDCN) are introduced, where threshold property (recover the secret image from any k shadow images) and secure reconstruction over DCN (noninteractively share a common key among any k participants) are provided. Further, theoretical analysis, experiments and comparisons are conducted to show the effectiveness and advantages of the proposed schemes.

中文翻译：

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分布式云网络上的安全图像秘密共享

摘要 一个 (k, n) 阈值秘密图像共享 (SIS) 方案通过将秘密图像分成 n 个阴影图像来保护秘密图像。当收集到任何 k 个或更多阴影图像时，将重建秘密图像。虽然任何 ( k − 1 ) 或更少的阴影都无法提供有关秘密的线索。然而，所有以前的 SIS 方案都没有处理分布式云网络 (DCN) 上的安全秘密图像恢复。为了实现在 DCN 上重建秘密的目标，需要所有持有阴影图像的参与者之间的私人通信通道。这个问题的一个简单的解决方案是使用一个额外的密钥分发协议，为所有参与者提供一个公共密钥。本文介绍了两种基于 DCN（SISDCN）的 (k, n)-SIS 方案，其中提供了阈值属性（从任何 k 个阴影图像中恢复秘密图像）和 DCN 上的安全重建（在任何 k 个参与者之间非交互地共享公共密钥）。此外，还进行了理论分析、实验和比较，以表明所提出方案的有效性和优势。