Public key based bidirectional shadow image authentication without pixel expansion in image secret sharing

Xuehu YAN; Longlong LI; Jia CHEN; Lei SUN

doi:10.1631/FITEE.2200118

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Public key based bidirectional shadow image authentication without pixel expansion in image secret sharing

Regular Papers | Updated：2023-01-28

- Public key based bidirectional shadow image authentication without pixel expansion in image secret sharing
- 基于公钥具有双向影子图像验证功能且无像素扩张的图像秘密分享
- Frontiers of Information Technology & Electronic Engineering Vol. 24, Issue 1, Pages: 88-103(2023)
- Affiliations：
  
  National University of Defense Technology, Hefei 230037, China
- Author bio：
  
  ‡Corresponding authors
- Funds：
- DOI：10.1631/FITEE.2200118
  CLC： TP309
- Published：0 January 2023，
  
  Received：26 March 2022，
  
  Accepted：2022-08-26
- Accepted：
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XUEHU YAN, LONGLONG LI, JIA CHEN, et al. Public key based bidirectional shadow image authentication without pixel expansion in image secret sharing. [J]. Frontiers of information technology & electronic engineering, 2023, 24(1): 88-103.
DOI：

XUEHU YAN, LONGLONG LI, JIA CHEN, et al. Public key based bidirectional shadow image authentication without pixel expansion in image secret sharing. [J]. Frontiers of information technology & electronic engineering, 2023, 24(1): 88-103. DOI： 10.1631/FITEE.2200118.

摘要

图像秘密分享（ISS）的研究越来越多，主要因为数字图像的重要性以及ISS可以广泛应用于云分布式存储和多方安全计算。影子图像认证日渐重要，通常包括影子图像真实性检测和识别。然而，传统处理者参与的方法主要是单向验证，即在解码阶段验证影子图像，存在像素扩张或额外辅助信息等不足。因此，分发（编码）阶段的影子图像认证对参与者来说也很重要。本文引入一种基于公钥的双向影子图像认证方法，实现（

，

）门限且无像素扩张。当处理者将每个影子图像分发给相应参与者时，参与者可以用其私钥验证接收到的影子图像。在解码阶段，处理者可以用其秘钥验证每个接收到的影子图像; 此外，当获得任何

个或更多影子图像时，处理者可以无损解码秘密图像。理论分析、实验和比较验证了所提方法有效性。

Abstract

Image secret sharing (ISS) is gaining popularity due to the importance of digital images and its wide application to cloud-based distributed storage and multiparty secure computing. Shadow image authentication generally includes shadow image detection and identification

and plays an important role in ISS. However

traditional dealer-participatory methods

which suffer from significant pixel expansion or storing auxiliary information

authenticate the shadow image mainly during the decoding phase

also known as unidirectional authentication. The authentication of the shadow image in the distributing (encoding) phase is also important for the participant. In this study

we introduce a public key based bidirectional shadow image authentication method in ISS without pixel expansion for a

</mn><mi>n</mi><mo stretchy="false">)</mo></mrow></math>

threshold. When the dealer distributes each shadow image to a corresponding participant

the participant can authenticate the received shadow image with his/her private key. In the decoding phase

the dealer can authenticate each received shadow image with a secret key; in addition

the dealer can losslessly decode the secret image with any

or more shadow images. The proposed method is validated using theoretical analyses

illustrations

and comparisons.

关键词

图像秘密分享影子图像验证公钥像素扩张无损恢复

Keywords

Image secret sharingShadow image authenticationPublic keyPixel expansionLossless decoding

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