Skip to main content
SpringerLink
Log in

A novel multi secret image sharing scheme for different dimension secrets

  • Published:
Multimedia Tools and Applications Aims and scope Submit manuscript

Abstract

The existing state of the art schemes deals with the same dimension secret images but less work is available in the literature for different dimension secret images. In this paper, we have proposed an efficient multi secret image sharing scheme for different dimension secret images. In the proposed scheme, Chinese Remainder Theorem (CRT), shift and XOR operations are used for shares generation and secrets reconstruction to provide more randomized shares without revealing any secret information. The proposed scheme is attack resistive as if there is an attack on any of the share(s) then the reconstructed secrets doesn’t reveal the attacked portion whereas the remaining portion of the secrets gets reconstructed correctly. This confirms that an attack has been performed on the share(s) during transmission. The quantitative analysis of the proposed scheme is performed using Jaccard coefficient, correlation, RMSE, PSNR, MAE, NPCR, UACI, Information Entropy, and EQ parameters whereas the qualitative analysis has been performed using histogram analysis. The experimental results shows that the proposed scheme performs better on different dimension secret images.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Algorithm 1
Fig. 2
Algorithm 2
Algorithm 3
Algorithm 4
Algorithm 5
Algorithm 6
Algorithm 7
Algorithm 8
Algorithm 9
Algorithm 10
Algorithm 11
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

Similar content being viewed by others

References

  1. Abdulla AA, Sellahewa H, Jassim SA (2019) Improving embedding efficiency for digital steganography by exploiting similarities between secret and cover images. Multimed Tools Appl 78(13):17799–17823

    Article  Google Scholar 

  2. Agarwal A, Deshmukh M (2021) 3-D plane based extended Shamir’s secret sharing. Int J Inf Technol 13(2):609–612

    Google Scholar 

  3. Agarwal A, Deshmukh M, Singh M (2020) Object detection framework to generate secret shares. Multimed Tools Appl 79(33):24685–24706

    Article  Google Scholar 

  4. Bhattacharjee T, Maity SP, Islam SR (2018) Hierarchical secret image sharing scheme in compressed sensing. Signal Process Image Commun 61:21–32

    Article  Google Scholar 

  5. Binu VP, Sreekumar A (2017) Secure and efficient secret sharing scheme with general access structures based on elliptic curve and pairing. Wirel Pers Commun 92(4):1531–1543

    Article  Google Scholar 

  6. Bisht K, Deshmukh M (2021) A novel approach for multilevel multi-secret image sharing scheme. J Supercomput 77(10):12157–12191

    Article  Google Scholar 

  7. Chen T-H, Wu C-S (2011) Efficient multi-secret image sharing based on boolean operations. Signal Process 91(1):90–97

    Article  MATH  Google Scholar 

  8. Chen C-C, Chen J-L (2017) A new Boolean-based multiple secret image sharing scheme to share different sized secret images. J Inf Sec Appl 33:45–54

    Google Scholar 

  9. Chen Chien-Chang, Wei-Jie W u (2014) A secure boolean-based multi-secret image sharing scheme. J Syst Softw 92:107–114

    Article  Google Scholar 

  10. Chen Chien-Chang, Wei-Jie W u, Chen Jun-Long (2016) Highly efficient and secure multi-secret image sharing scheme. Multimed Tools Appl 75 (12):7113–7128

    Article  Google Scholar 

  11. Deshmukh M, Nain N, Ahmed M (2017) A novel approach for sharing multiple color images by employing chinese remainder theorem. J Vis Commun Image Represent 49:291–302

    Article  Google Scholar 

  12. Deshmukh M, Nain N, Ahmed M (2017) A novel approach of an (n, n) multi-secret image sharing scheme using additive modulo, Int Conf Comput Vision Image Process. Springer:149-158

  13. Deshmukh M, Nain N, Ahmed M (2018) Efficient and secure multi secret sharing schemes based on boolean XOR and arithmetic modulo. Multimed Tools Appl 77(1):89–107

    Article  Google Scholar 

  14. Deshmukh M, Nain N, Ahmed M (2019) Secret sharing scheme based on binary trees and boolean operation. Knowl Inf Syst 60(3):1377–1396

    Article  Google Scholar 

  15. Deshmukh M, Nain N, Mushtaq A (2016) Enhanced modulo based multi secret image sharing. In: International conference on information systems security. Springer, pp 212-224

  16. Dharani P, Berlin MA (2015) Survey on secret sharing scheme with deduplication in cloud computing. In: International Conference on Intelligent Systems and Control. IEEE, pp 1-5

  17. Eslami Z, Razzaghi SH, Zarepour Ahmadabadi J (2010) Secret image sharing based on cellular automata and steganography. Pattern Recogn 43(1):397–404

    Article  MATH  Google Scholar 

  18. Eslami Z, Zarepour Ahmadabadi J (2010) A verifiable multi-secret sharing scheme based on cellular automata. Inf Sci 180(15):2889–2894

    Article  MathSciNet  MATH  Google Scholar 

  19. Feng J-B et al (2005) A new multi-secret images sharing scheme using Largrange’s interpolation. J Syst Softw 76(3):327–339

    Article  Google Scholar 

  20. Forouzan BA (2015) And Debdeep Mukhopadhyay. Cryptography and network security, Mc Graw Hill Education (India) Private Limited

  21. Gayathri J, Subashini S (2018) A spatiotemporal chaotic image encryption scheme based on self adaptive model and dynamic keystream fetching technique. Multimed Tools Appl 77.19:24751–24787

    Article  Google Scholar 

  22. Gupta M, Gupta M, Deshmukh M (2020) Single secret image sharing scheme using neural cryptography. Multimed Tools Appl 79(17):12183–12204

    Article  Google Scholar 

  23. He Q i et al (2019) A weighted threshold secret sharing scheme for remote sensing images based on Chinese remainder theorem. Comput Mater Continua 58 (2):349–361

    Article  Google Scholar 

  24. Jia X et al (2019) A new threshold changeable secret sharing scheme based on the Chinese Remainder Theorem. Inf Sci 473:13–30

    Article  MathSciNet  MATH  Google Scholar 

  25. Kabirirad S, Eslami Z (2019) Improvement of (n, n)-multi-secret image sharing schemes based on boolean operations. J Inf Sec Appl 47:16–27

    Google Scholar 

  26. Khorasgani HA et al (2014) A lattice-based threshold secret sharing scheme. In: International conference on information security and cryptology. IEEE, pp 173-179

  27. Li Q et al (2021) Image steganography based on style transfer and quaternion exponent moments. Appl Soft Comput 110:107618

    Article  Google Scholar 

  28. Lin S-J, Ja-Chen L (2007) VCPSS: a two-in-one two-decoding-options image sharing method combining visual cryptography (VC) and polynomial-style sharing (PSS) approaches. Pattern Recogn 40(12):3652–3666

    Article  MATH  Google Scholar 

  29. Liu Z, Ahmad MA, Liu S (2008) Image sharing scheme based on combination theory. Optics Commun 281(21):5322–5325

    Article  Google Scholar 

  30. Maroti D, Nain N, Ahmed M (2016) An (n, n)-multi secret image sharing scheme using boolean XOR and modular arithmetic. IEEE, Int Conf Adv Inf Netw Appl (AINA):690-697

  31. Pang L et al (2008) A verifiable (t, n) multiple secret sharing scheme and its analyses. In: International symposium on electronic commerce and security. IEEE, pp 22-26

  32. Pilaram H, Eghlidos T (2015) An efficient lattice based multi-stage secret sharing scheme. IEEE Trans Dependable Secure Comput 14(1):2–8

    Google Scholar 

  33. Pilaram H, Eghlidos T (2017) A lattice-based changeable threshold multi-secret sharing scheme and its application to threshold cryptography. Scientia Iranica 24(3):1448–1457

    Article  Google Scholar 

  34. Rajput M, Deshmukh M (2016) Secure (n, n + 1)-multi secret image sharing scheme using additive modulo. Procedia Comput Sci 89:677–683

    Article  Google Scholar 

  35. Rey D, Martin A, Pereira Mateus J, Rodríguez Sánchez G (2005) A secret sharing scheme based on cellular automata. App Math Comput 170 (2):1356–1364

    Article  MathSciNet  MATH  Google Scholar 

  36. Shamir A (1979) How to share a secret. Commun ACM 22(11):612–613

    Article  MathSciNet  MATH  Google Scholar 

  37. Shankar K, Devika G, Ilayaraja M (2017) Secure and efficient multi-secret image sharing scheme based on boolean operations and elliptic curve cryptography. Int J Pure Appl Math 116(10):293–300

    Google Scholar 

  38. Sheikhi-Garjan M, Bahramian M, Doche C (2019) Threshold verifiable multi-secret sharing based on elliptic curves and Chinese remainder theorem. IET Inf Secur 13(3):278–284

    Article  Google Scholar 

  39. Teodoro AAM et al (2021) An FPGA-based performance evaluation of artificial neural network architecture algorithm for IoT. Wirel Pers Commun:1–32

  40. Thien Chih-Ching, Lin Ja-Chen (2002) Secret image sharing. Comput Graph 26(5):765–770

    Article  Google Scholar 

  41. Ulutas M, Ulutas G, Nabiyev VV (2011) Medical image security and EPR hiding using Shamir’s secret sharing scheme. J Syst Softw 84(3):341–353

    Article  Google Scholar 

  42. Wang X, Gao S (2020) Image encryption algorithm based on the matrix semi-tensor product with a compound secret key produced by a Boolean network. Inf Sci 539:195–214

    Article  MathSciNet  MATH  Google Scholar 

  43. Wang X, Gao S (2020) Image encryption algorithm for synchronously updating boolean networks based on matrix semi-tensor product theory. Inf Sci 507:16–36

    Article  MathSciNet  MATH  Google Scholar 

  44. Wang X, Le F, Zhao H (2019) Fast image encryption algorithm based on parallel computing system. Inf Sci 486:340–358

    Article  MATH  Google Scholar 

  45. Wang X, Liu C, Jiang D (2021) A novel triple-image encryption and hiding algorithm based on chaos, compressive sensing and 3D DCT. Inf Sci 574:505–527

    Article  MathSciNet  Google Scholar 

  46. Wang X, Yang J (2021) A privacy image encryption algorithm based on piecewise coupled map lattice with multi dynamic coupling coefficient. Inf Sci 569:217–240

    Article  MathSciNet  Google Scholar 

  47. Wang X, Zhang M (2021) An image encryption algorithm based on new chaos and diffusion values of a truth table. Inf Sci 579:128–149

    Article  MathSciNet  Google Scholar 

  48. Wang D et al (2007) Two secret sharing schemes based on Boolean operations. Pattern Recogn 40(10):2776–2785

    Article  MATH  Google Scholar 

  49. Wang C et al (2019) Ternary radial harmonic fourier moments based robust stereo image zero-watermarking algorithm. Inf Sci 470:109–120

    Article  Google Scholar 

  50. Wang C et al (2019) Image description with polar harmonic Fourier moments. IEEE Trans Circ Syst Video Technol 30.12:4440–4452

    Google Scholar 

  51. Wang X et al (2021) High precision error prediction algorithm based on ridge regression predictor for reversible data hiding. IEEE Signal Process Lett 28:1125–1129

    Article  Google Scholar 

  52. Xian Y, Wang X (2021) Fractal sorting matrix and its application on chaotic image encryption. Inf Sci 547:1154–1169

    Article  MathSciNet  MATH  Google Scholar 

  53. Xian Y, Wang X, Teng L (2021) Double parameters fractal sorting matrix and its application in image encryption. IEEE Trans Circuits Syst Video Technol:1–10

  54. Yan X et al (2018) Chinese remainder theorem-based two-in-one image secret sharing with three decoding options. Digital Signal Processing 82:80–90

    Article  Google Scholar 

  55. Yang C-C, Chang T-Y, Min-Shiang HA (2004) (T, n) multi-secret sharing scheme. Appl Math Comput 151(2):483–490

    MathSciNet  MATH  Google Scholar 

  56. Yang C-N, Chen C-H, Cai S-R (2016) Enhanced Boolean-based multi secret image sharing scheme. J Syst Software 116:22–34

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Institute of Technology, Srinagar, Uttarakhand, India

    Arjun Singh Rawat, Maroti Deshmukh & Maheep Singh

Authors
  1. Arjun Singh Rawat
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Maroti Deshmukh
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Maheep Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

All authors have participated in (a) conception and design, or analysis and interpretation of the data; (b) drafting the article or revising it critically for important intellectual content; and (c) approval of the final version. This manuscript has not been submitted to, nor is under review at, another journal or other publishing venue.

Corresponding author

Correspondence to Maroti Deshmukh.

Ethics declarations

Conflict of Interests

The authors declare that they have no conflict of interest.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rawat, A.S., Deshmukh, M. & Singh, M. A novel multi secret image sharing scheme for different dimension secrets. Multimed Tools Appl 82, 35183–35219 (2023). https://doi.org/10.1007/s11042-023-14609-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11042-023-14609-5

Keywords

Search

Navigation