Abstract
The transition of visual secret sharing from a black & white secret image to a color image is not straight-forward. There are several models of color superposition principle. In this paper we present color visual cryptographic scheme realizing monotone access structure. We first give a generic construction method to share a color image in same color model. In particular, our construction achieves maximal contrast. We also give a direct and efficient construction of visual secret sharing for \((k,n)^*\)-access structure.
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References
Adhikari A.: Linear algebraic techniques to construct monochrome visual cryptographic schemes for general access structure and its applications to color images. Des. Codes Cryptogr. 73(3), 865–895 (2014).
Adhikari A., Bose M.: A new visual cryptographic scheme using latin squares. In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 87(5), 1198–1202 (2004).
Adhikari A., Dutta T.K., Roy B.: A New Black and White Visual Cryptographic Scheme for General Access Structures. In: INDOCRYPT’04. LNCS 3348, 399–413 (2004).
Adhikari A., Sikdar S.: A New \((2, n)\)-Visual Threshold Scheme for Color Images. In: INDOCRYPT’03. LNCS 2904, 148–161 (2003).
Adhikari A., Bose M., Kumar D., Roy B.K.: Applications of partially balanced incomplete block designs in developing (2, n) visual cryptographic schemes. In: IEICE Transactions 90–A(5), 949–951 (2007).
Arumugam S., Lakshmanan R., Nagar A.K.: On (k, n)*-visual cryptography scheme. Des. Codes Cryptogr. 71(1), 153–162 (2014).
Ateniese G., Blundo C., De Santis A., Stinson D.R.: Visual cryptography for general access structures. Inf. Comput. 129, 86–106 (1996).
Ateniese G., Blundo C., De Santis A., Stinson D.R.: Constructions and Bounds for Visual Cryptography. In: ICALP’96. LNCS 1099, 416–428 (1996).
Blundo C., D’arco P., De Santis A., Stinson D.R.: Contrast optimal threshold visual cryptography. SIAM J. Discret. Math. 16(2), 224–261 (2003).
Blundo C., De Bonis A., De Santis A.: Improved schemes for visual cryptography. Des. Codes Cryptogr. 24(3), 255–278 (2001).
Cimato S., De Prisco R., De Santis A.: Optimal colored threshold visual cryptography schemes. Des. Codes Cryptogr. 35(3), 311–335 (2005).
Cimato S., De Prisco R., De Santis A.: Colored visual cryptography without color darkening. Theor. Comput. Sci. 374(1–3), 261–276 (2007).
Cimato S., Yang C.N.: Visual Cryptography and Secret Image Sharing. Taylor & Francis, CRC Press, Boca Raton (2011).
Dutta S., Rohit R.S., Adhikari A.: Constructions and analysis of some efficient \(t-(k, n)^*\)-visual cryptographic schemes using linear algebraic techniques. Des. Codes Cryptogr. 80(1), 165–196 (2016).
Dutta S., Adhikari A.: XOR based non-monotone \(t-(k, n)^*\)-visual cryptographic schemes using linear algebra. ICICS 2014, 230–242 (2014).
Dutta S., Adhikari A.: Contrast optimal XOR based visual cryptographic schemes. ICITS 2017, 58–72 (2017).
Guo T., Liu F., Wu C.K., Ren Y.W., Wang W.: On (k, n) Visual Cryptography Scheme with t Essential Parties. In: ICITS’13. LNCS 8317, 56–68 (2014).
Hou Y.-C.: Visual cryptography for color images. Pattern Recognit. 36(7), 1619–1629 (2003).
Iwamoto M.: A weak security notion for visual secret sharing schemes. IEEE Trans. Inf. Forensics Secur. 7(2), 372–382 (2012).
Jin D., Yan W.-Q., Kankanhalli M.S.: Progressive color visual cryptography. J. Electron. Imaging 14(3), 033019 (2005).
Koga H., Yamamoto H.: Proposal of a lattice-based visual secret sharing scheme for color and gray-scale images. In: IEICE Transactions on Fundamentals of Electronics, Communications & Computer Sciences E81–A(6), 1262–1269 (1998).
Liu F., Wu C.K., Lin X.J.: Colour visual cryptography schemes. IET Inf. Secur. 2(4), 151–165 (2008).
Naor M., Shamir A.: Visual Cryptography. In: EUROCRYPT’94. LNCS 950, 1–12 (1994).
Rijmen, V., Preneel, B.: Efficient colour visual encryption or shared colors of benetton. EUROCRYPT’96 Rump Section. http://www.iacr.org/conference/ec96/rump/preneel.ps.gz
Praveen K., Rajeev K., Sethumadhavan M.: On the Extensions of \((k, n)^*\)-Visual Cryptographic Schemes. In: SNDS’14, CCIS 420, 231–238 (2014).
Shyu S.J.: Efficient visual secret sharing scheme for color images. Pattern Recognit. 39(5), 866–880 (2006).
Verheul E.R., Tilborg H.C.A.: Constructions and properties of \(k\) out of \(n\) visual secret sharing schemes. Des. Codes Cryptogr. 11(2), 179–196 (1997).
Yang C.-N., Laih C.-S.: New colored visual secret sharing schemes. Des. Codes Cryptogr. 20(3), 325–336 (2000).
Acknowledgements
The authors are thankful to the anonymous reviewers for their comments and suggestions. The authors are also thankful to Md. Kutubuddin Sardar of Department of Pure Mathematics, University of Calcutta for fruitful discussions and implementations during the preparation of manuscript. Research of Dr. Adhikari is partially supported by National Board for Higher Mathematics, Department of Atomic Energy, Government of India (No 2/48(10)/2013/NBHM(R.P.)/R & D II/695).
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Dutta, S., Adhikari, A. & Ruj, S. Maximal contrast color visual secret sharing schemes. Des. Codes Cryptogr. 87, 1699–1711 (2019). https://doi.org/10.1007/s10623-018-0570-6
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DOI: https://doi.org/10.1007/s10623-018-0570-6