Lossless and Efficient Polynomial-Based Secret Image Sharing with Reduced Shadow Size
National University of Defense Technology, Hefei 230037, China
Author to whom correspondence should be addressed.
Received: 10 May 2018 / Revised: 6 June 2018 / Accepted: 19 June 2018 / Published: 1 July 2018
Thien-and-Lin’s polynomial-based secret image sharing (PSIS) is utilized as the basic method to achieve PSISs with better performances, such as meaningful shares, two-in-one property and shares with different priorities. However, this
threshold PSIS cannot achieve lossless recovery for pixel values more than 250. Furthermore, current solutions to lossless recovery for PSIS have several natural drawbacks, such as large computational costs and random pixel expansion. In this paper, a lossless and efficient
threshold PSIS scheme with reduced shadow size is presented. For lossless recovery and efficiency, two adjacent pixels are specified as a secret value, the prime in the sharing polynomial is replaced with 65,537, and then the additional screening operation can ensure each shared value in the range
. To reduce shadows size and improve security, only the first
coefficients are embedded with secret values and the last coefficient is assigned randomly. To prevent the leakage of secrets, generalized Arnold permutation with special key generating strategy is performed on the secret image prior to sharing process without key distribution. Both theoretical analyses and experiments are conducted to demonstrate the effectiveness of the proposed scheme.
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MDPI and ACS Style
Zhou, X.; Lu, Y.; Yan, X.; Wang, Y.; Liu, L. Lossless and Efficient Polynomial-Based Secret Image Sharing with Reduced Shadow Size. Symmetry 2018, 10, 249.
Zhou X, Lu Y, Yan X, Wang Y, Liu L. Lossless and Efficient Polynomial-Based Secret Image Sharing with Reduced Shadow Size. Symmetry. 2018; 10(7):249.
Zhou, Xuan; Lu, Yuliang; Yan, Xuehu; Wang, Yongjie; Liu, Lintao. 2018. "Lossless and Efficient Polynomial-Based Secret Image Sharing with Reduced Shadow Size." Symmetry 10, no. 7: 249.
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