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(n, n) Multi-Secret Image Sharing Scheme with Enhanced Quality Meaningful Shares Cover

(n, n) Multi-Secret Image Sharing Scheme with Enhanced Quality Meaningful Shares

Open Access
|Sep 2025

Figures & Tables

Figure 1.

Proposed (3,3) MSS meaningful scheme for grayscale images (a)–(c) Secret images G1–G3. (d)–(f) Cover images C1–C3. (g)–(i) Meaningful share images S1–S3. (j)–(l) Recovered secret images 



G1′−G3′
G_1^{\prime} - G_3^{\prime}


.
Proposed (3,3) MSS meaningful scheme for grayscale images (a)–(c) Secret images G1–G3. (d)–(f) Cover images C1–C3. (g)–(i) Meaningful share images S1–S3. (j)–(l) Recovered secret images G1′−G3′ G_1^{\prime} - G_3^{\prime} .

Figure 2.

Proposed (2,2) MSS meaningful scheme for color images (a, b) Secret images G1 and G2. (c, d) Cover images C1–C2. (e, f) Meaningful share images S1–S2. (g, h) Recovered secret images 



G1′
G_1^{\prime}


 and 



G2′
G_2^{\prime}


.
Proposed (2,2) MSS meaningful scheme for color images (a, b) Secret images G1 and G2. (c, d) Cover images C1–C2. (e, f) Meaningful share images S1–S2. (g, h) Recovered secret images G1′ G_1^{\prime} and G2′ G_2^{\prime} .

Figure 3.

Proposed MSS meaningful scheme for computer-synthesized images. (a)–(c) Secret images G1–G3. (d)–(f) Cover images C1–C3. (g)–(i) Meaningful share images S1–S3. (j)–(l) Recovered secret images 



G1′−G3′
G_1^{\prime} - G_3^{\prime}


.
Proposed MSS meaningful scheme for computer-synthesized images. (a)–(c) Secret images G1–G3. (d)–(f) Cover images C1–C3. (g)–(i) Meaningful share images S1–S3. (j)–(l) Recovered secret images G1′−G3′ G_1^{\prime} - G_3^{\prime} .

Comparison between Related MSS Schemes and the Proposed Scheme_

Type of imageSymmetric functionSharing capacityQuality of recoveryShare typeManagement efficiency
[1]Binary, GrayNo(n, n + 1)LosslessMeaninglessLow
[2]GrayNo(n, n)LosslessMeaninglessLow
[3]GrayNo(n, n)LosslessMeaninglessLow
[4]GrayYes(n, n)High qualityMeaninglessLow
[5]GrayYes(t, n) GASLosslessMeaninglessLow
[6]GrayYes(n, n)LosslessMeaninglessLow
The Proposed SchemeGrayYes(n, n)High qualityMeaningfulHigh

Comparison between Related Meaningful and Multiple Share-based MSS Schemes and the Proposed Scheme_

Parameters[20][21][24][23]The Proposed Scheme
Type of imageGrayGrayBinaryBinaryGray
Decoding methodBoolean [OR, AND, XOR]Boolean [XOR]Random gridBoolean [XOR]Boolean [XOR]
Sharing capacity Share type(n, 3n) Meaningful(n, n + 1) Meaningful and Meaningless(n, 2) Meaningful(n, n) Meaningful(n, n) Meaningful
Average PSNR between meaningful shares and cover images57 dB (2n shares), Infinity (n shares)17.28 dB< 11 dB< 10 dB33 dB
Average PSNR between secret and recovered imagesInfinity68 dBLow< 22 dB34.72 dB
Management efficiencyLowLowHighHighHigh
DOI: https://doi.org/10.2478/ias-2025-0005 | Journal eISSN: 1554-1029 | Journal ISSN: 1554-1010
Language: English
Page range: 74 - 85
Published on: Sep 12, 2025
In partnership with: Paradigm Publishing Services
Publication frequency: 6 issues per year

© 2025 Yogesh K. Meghrajani, Vishakha J. Kapadiya, Laxmi S. Desai, published by Cerebration Science Publishing Co., Limited
This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 License.