scholarly journals Multi Secret Image Sharing Scheme of General Access Structure with Meaningful Shares

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1582
Author(s):  
Hongliang Cai ◽  
Dan Tang

A Multi Secret Image sharing scheme can share several secret images among certain participators securely. Boolean-based secret sharing schemes are one kind of secret sharing method with light-weighted computation compared to the previous complex algebraic-based methods, which can realize the sharing of multi secret images. However, the existing Boolean-based multi secret sharing schemes are mostly restricted to the particular case of (2, n) and (n, n), only few Boolean-based multi secret sharing schemes study the general access structure, and the shares are mostly meaningless. In this paper, a new Boolean-based multi secret sharing scheme with the general access structure is proposed. All the shares are meaningful, which can avoid attracting the attention of adversaries, and the secret images can be recovered in a lossless manner. The feasibility of the scheme is proven, the performance is validated by the experiments on the gray images, and the analysis of the comparison with other methods is also given out.

2014 ◽  
Vol 14 (2) ◽  
pp. 98-113 ◽  
Author(s):  
Amitava Nag ◽  
Sushanta Biswas ◽  
Debasree Sarkar ◽  
Partha Pratim Sarka

Abstract Traditionally extensive researches have been done on secret image sharing which support the fault tolerance property. But their reconstruction complexity is high. Some research papers on secret image sharing are also available with smaller reconstruction complexity, due to the use of a Boolean operation. But these research works lack the fault tolerance property which is the heart of secret sharing. This paper deals with a general (k, n) secret image sharing scheme for gray scale images with both low reconstruction complexity and preservation of the fault tolerance property. Moreover, the proposed sharing generation technique can also be applied on colour images.


Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 530 ◽  
Author(s):  
Wanmeng Ding ◽  
Kesheng Liu ◽  
Xuehu Yan ◽  
Huaixi Wang ◽  
Lintao Liu ◽  
...  

Most of today’s secret image sharing technologies are based on the polynomial-based secret sharing scheme proposed by shamir. At present, researchers mostly focus on the development of properties such as small shadow size and lossless recovery, instead of the principle of Shamir’s polynomial-based SS scheme. In this paper, matrix theory is used to analyze Shamir’s polynomial-based scheme, and a general (k, n) threshold secret image sharing scheme based on matrix theory is proposed. The effectiveness of the proposed scheme is proved by theoretical and experimental results. Moreover, it has been proved that the Shamir’s polynomial-based SS scheme is a special case of our proposed scheme.


2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Zheng Ma ◽  
Yan Ma ◽  
Xiaohong Huang ◽  
Manjun Zhang ◽  
Yanxiao Liu

Abstract In (k,n) secret sharing scheme, one secret is encrypted into n shares in such a way that only k or more shares can decrypt the secret. Secret sharing scheme can be extended into the field of multimedia that provides an efficient way to protect confidential information on multimedia. Secret image sharing is just the most important extension of secret sharing that can safely guard the secrecy of images among multiple participants. On the other hand, cheating detection is an important issue in traditional secret sharing schemes that have been discussed for many years. However, the issue of cheating detection in secret image sharing has not been discussed sufficiently. In this paper, we consider the cheating problem in the application of secret image sharing schemes and construct a (k,n) secret image sharing scheme with the ability of cheating detection and identification. Our scheme is capable of identifying cheaters when k participants involve in reconstruction. The cheating identification ability and size of shadow in the proposed scheme are improved from the previous cheating identifiable secret image sharing scheme.


2020 ◽  
Vol 12 (3) ◽  
pp. 96-110
Author(s):  
Xuehu Yan ◽  
Yuliang Lu ◽  
Lintao Liu

(k, n) threshold is a special case of the general access structure (GAS) in secret image sharing (SIS), therefore GAS is more extensive than (k, n) threshold. Most of conventional SIS, including visual secret sharing (VSS), polynomial-based SIS, linear congruence (LC)-based SIS, etc., were proposed with only (k, k) threshold or (k, n) threshold other than GAS. This article introduces a common GAS construction approach in SIS with on pixel expansion from existing (k, k) threshold or (k, n) threshold SIS. The authors input classic SIS methods to test the efficiency and feasibility of the proposed common GAS construction approach. Experiments are presented to indicate the efficiency of the approach by illustrations and analysis.


2017 ◽  
Vol 22 (S1) ◽  
pp. 2293-2307 ◽  
Author(s):  
Li Li ◽  
M. Shamim Hossain ◽  
Ahmed A. Abd El-Latif ◽  
M. F. Alhamid

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