Abstract:Secure sharing of digital images is becoming an important issue. Consequently, many schemes for ensuring image sharing security have been proposed. However, existing approaches focus on the sharing of a single image, rather than multiple images. We propose three kinds of sharing methods that progressively reveal n given secret images according to the sensitivity level of each image. Method 1 divides each secret image into n parts and then combines and hides the parts of the images to get n steganographic (steg… Show more
“…Because sharing is useful, all four aforementioned papers [1][2][3][4] have been frequently cited, particularly Shamir [1], which has had more than 10,000 citations from 1979 to 2019. Many recent studies have also focused on sharing [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Finally, as for image sharing, some readers may wonder why one cannot just use a key to encrypt the secret image and then share the key with authorized personnel.…”
In this paper, we introduce two new image-sharing types to extend the applicability of sharing. Type 1 is our so-called forbidden type. In its sharing system, any t of the n shares can recover the secret image, unless the t shares form a forbidden group listed in a forbidden list. Type 2 is our so-called cross-department support type. If a government has 3 departments {DEPH, DEPM, DEPL}, then 3 thresholds (tH, tM and tL) exist. Any tH number of officers from department DEPH can unveil the secret image, and likewise for any tM and tL number of officers from departments DEPM and DEPL, respectively. Type 2 image sharing allows a secret to be disclosed not only in an intra-department meeting but also in a cross-department meeting. In this study, both types are implemented through two approaches: the polynomial and linear-equations approaches. Hackers can be confused when two approaches are mixed. As for the applications, use Type 1 to protect sensitive information in medical or military images or legal documents; and use type 2 to support cross-department crime investigation, industrial production, etc.
“…Because sharing is useful, all four aforementioned papers [1][2][3][4] have been frequently cited, particularly Shamir [1], which has had more than 10,000 citations from 1979 to 2019. Many recent studies have also focused on sharing [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Finally, as for image sharing, some readers may wonder why one cannot just use a key to encrypt the secret image and then share the key with authorized personnel.…”
In this paper, we introduce two new image-sharing types to extend the applicability of sharing. Type 1 is our so-called forbidden type. In its sharing system, any t of the n shares can recover the secret image, unless the t shares form a forbidden group listed in a forbidden list. Type 2 is our so-called cross-department support type. If a government has 3 departments {DEPH, DEPM, DEPL}, then 3 thresholds (tH, tM and tL) exist. Any tH number of officers from department DEPH can unveil the secret image, and likewise for any tM and tL number of officers from departments DEPM and DEPL, respectively. Type 2 image sharing allows a secret to be disclosed not only in an intra-department meeting but also in a cross-department meeting. In this study, both types are implemented through two approaches: the polynomial and linear-equations approaches. Hackers can be confused when two approaches are mixed. As for the applications, use Type 1 to protect sensitive information in medical or military images or legal documents; and use type 2 to support cross-department crime investigation, industrial production, etc.
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