SECRET IMAGE SHARING BASED ON CHAOTIC MAP AND CHINESE REMAINDER THEOREM

2012 ◽  
Vol 10 (03) ◽  
pp. 1250023 ◽  
Author(s):  
CHUNQIANG HU ◽  
XIAOFENG LIAO ◽  
DI XIAO
Keyword(s):  
Digital Image ◽  
Secret Sharing ◽  
Chinese Remainder Theorem ◽  
Chaotic Map ◽  
Secret Image Sharing ◽  
Image Size ◽  
Pixel Expansion ◽  
Secret Image ◽  
Image Sharing ◽  
Sharing Scheme

Secret sharing is an efficient method for transmitting the image securely. This paper proposes an efficient secret sharing scheme for secret image. The protocol allows each participant to share a secret gray image with the rest of participants. In our scheme, a secret digital image is divided into n pieces, which are further distributed into n participants. The secret digital image can be reconstructed if and only if r or more legal participants cooperate together. These schemes have no pixel expansion. It is general in nature and can be applied on any image size. The proposed scheme is based on the chaotic map and the Chinese Remainder theorem. The security of the scheme is analyzed and the protocol is proven to be secure and be able to resist statistic and exhaustive attacks.

scholarly journals Secret Image Sharing Scheme Based on a Boolean Operation

2014 ◽  
Vol 14 (2) ◽  
pp. 98-113 ◽  
Author(s):  
Amitava Nag ◽  
Sushanta Biswas ◽  
Debasree Sarkar ◽  
Partha Pratim Sarka
Keyword(s):  
Fault Tolerance ◽  
Secret Sharing ◽  
Boolean Operation ◽  
Secret Image Sharing ◽  
Research Papers ◽  
Secret Image ◽  
Image Sharing ◽  
Generation Technique ◽  
Sharing Scheme ◽  
Secret Image Sharing Scheme

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.

Secret Image Sharing with Threshold Set

2012 ◽  
Vol 190-191 ◽  
pp. 364-368
Author(s):  
Dan Tang ◽  
Kui Liu
Keyword(s):  
Information Security ◽  
Digital Image ◽  
Research Problem ◽  
Secret Image Sharing ◽  
Secret Image ◽  
Multichannel Transmission ◽  
Image Sharing ◽  
Sharing Scheme ◽  
Secret Image Sharing Scheme

Secret image sharing is an attractive research problem in information security filed. According to the high redundancy of the digital image, the paper proposed an entirely new secret image sharing scheme with threshold set. The new scheme makes secret image sharing more flexible, so we can apply the secret image sharing technology to more fields such as the storage of secret images, multichannel transmission of images and etc..

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
Keyword(s):  
Secret Sharing ◽  
Secret Sharing Schemes ◽  
Access Structure ◽  
Secret Image Sharing ◽  
Secret Image ◽  
Image Sharing ◽  
Sharing Scheme ◽  
General Access Structure ◽  
Multi Secret Sharing ◽  
Secret Image Sharing Scheme

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.

scholarly journals An Image Secret Sharing Method Based on Matrix Theory

Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 530 ◽  
Author(s):  
Wanmeng Ding ◽  
Kesheng Liu ◽  
Xuehu Yan ◽  
Huaixi Wang ◽  
Lintao Liu ◽  
...  
Keyword(s):  
Secret Sharing ◽  
Matrix Theory ◽  
Secret Image Sharing ◽  
Secret Image ◽  
Image Sharing ◽  
Lossless Recovery ◽  
Sharing Scheme ◽  
Image Secret Sharing ◽  
Special Case ◽  
Secret Image Sharing Scheme

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.

scholarly journals Weighted Polynomial-Based Secret Image Sharing Scheme with Lossless Recovery

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Yongjie Wang ◽  
Jia Chen ◽  
Qinghong Gong ◽  
Xuehu Yan ◽  
Yuyuan Sun
Keyword(s):  
Light Transmission ◽  
Chinese Remainder Theorem ◽  
Secret Image Sharing ◽  
Visual Secret Sharing ◽  
Theoretical Derivation ◽  
Secret Image ◽  
Image Sharing ◽  
Lossless Recovery ◽  
Sharing Scheme

In some particular scenes, the shadows need to be given different weights to represent the participants’ status or importance. And during the reconstruction, participants with different weights obtain various quality reconstructed images. However, the existing schemes based on visual secret sharing (VSS) and the Chinese remainder theorem (CRT) have some disadvantages. In this paper, we propose a weighted polynomial-based SIS scheme in the field of GF (257). We use k , k threshold polynomial-based secret image sharing (SIS) to generate k shares and assign them corresponding weights. Then, the remaining n − k shares are randomly filled with invalid value 0 or 255. When the threshold is satisfied, the number and weight of share can affect the reconstructed image’s quality. Our proposed scheme has the property of lossless recovery. And the average light transmission of shares in our scheme is identical. Experiments and theoretical analysis show that the proposed scheme is practical and feasible. Besides, the quality of the reconstructed image is consistent with the theoretical derivation.

scholarly journals Secret Image Sharing Based on Discrete Cosine Transform

2014 ◽  
Vol 12 (7) ◽  
pp. 3697-3711
Author(s):  
Ashwaq T. Hashim ◽  
Dr. Loay E. George
Keyword(s):  
Discrete Cosine Transform ◽  
Signal Decomposition ◽  
Secret Image Sharing ◽  
Image Size ◽  
Cosine Transform ◽  
Secret Image ◽  
Image Sharing ◽  
Sharing Scheme

The main challenges facing secure image sharing tasks are the increase of sharing volume and sharing-control flexibility. A new scheme based on DCT is developed to perform packet secret image sharing, the DCT is used to reduce the secret image size firstly, then it employs the (k, n) threshold sharing scheme to generate the shadow images. The main signal decomposition attribute of the transform is utilized to divide the secret image into uncorrelated shares. Expermintal results are given to illustrate the characteristic of this methods.

scholarly journals Applying cheating identifiable secret sharing scheme in multimedia security

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Zheng Ma ◽  
Yan Ma ◽  
Xiaohong Huang ◽  
Manjun Zhang ◽  
Yanxiao Liu
Keyword(s):  
Secret Sharing ◽  
Secret Sharing Scheme ◽  
Secret Image Sharing ◽  
Secret Image ◽  
Image Sharing ◽  
Sharing Scheme ◽  
Detection And Identification ◽  
Cheating Detection ◽  
Important Extension ◽  
Secret Image Sharing Scheme

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.

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