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

Yogesh K. Meghrajani

Yogesh K. Meghrajani

Department of Electronics & Communication, Dharmsinh Desai UniversityNadiad, India
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Meghrajani, Yogesh K.
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Vishakha J. Kapadiya

Vishakha J. Kapadiya

Department of Electronics & Communication, Dharmsinh Desai UniversityNadiad, India
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Kapadiya, Vishakha J.
 e 
Laxmi S. Desai

Laxmi S. Desai

Department of Mathematics, Dharmsinh Desai UniversityNadiad, India
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Desai, Laxmi S.
  
12 set 2025
(n, n) Multi-Secret Image Sharing Scheme with Enhanced Quality Meaningful Shares's Cover Image
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Pubblicato online: 12 set 2025
Pagine: 74 - 85
DOI: https://doi.org/10.2478/ias-2025-0005
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© 2025 Yogesh K. Meghrajani et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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 image Symmetric function Sharing capacity Quality of recovery Share type Management efficiency
[1] Binary, Gray No (n, n + 1) Lossless Meaningless Low
[2] Gray No (n, n) Lossless Meaningless Low
[3] Gray No (n, n) Lossless Meaningless Low
[4] Gray Yes (n, n) High quality Meaningless Low
[5] Gray Yes (t, n) GAS Lossless Meaningless Low
[6] Gray Yes (n, n) Lossless Meaningless Low
The Proposed Scheme Gray Yes (n, n) High quality Meaningful High

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

Parameters [20] [21] [24] [23] The Proposed Scheme
Type of image Gray Gray Binary Binary Gray
Decoding method Boolean [OR, AND, XOR] Boolean [XOR] Random grid Boolean [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 images 57 dB (2n shares), Infinity (n shares) 17.28 dB < 11 dB < 10 dB 33 dB
Average PSNR between secret and recovered images Infinity 68 dB Low < 22 dB 34.72 dB
Management efficiency Low Low High High High
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