Progressive Share of Secret Audio by Chinese Remainder Theorem and Integer Wavelet Transform

10.7903/ijecs.1189

Chien-Chang Chen；Jian-Ying Huang

(s ； t ； n) Thresholds ； Secret Audio Sharing ； Progressive ； Chinese Remainder Theorem

International Journal of Electronic Commerce Studies

5卷2期（2014 / 12 / 01）

219 - 231

英文

This study presents an (s, t, n) progressive scheme for sharing a secret audio. In an (s, t, n) progressive audio sharing scheme, n shared audios are generated from the secret audio, gathering s shared audios acquires coarse resolution of the secret audio, and using t shared audios reconstructs the original secret audio losslessly. The Chinese Remainder Theorem is adopted in the proposed scheme to share filter results acquired from a 1-D integer wavelet transform with different thresholds for satisfying the progressive property. First, the maximum wavelet layer number needed in a 1-D integer wavelet transform is determined from thresholds s and t. Then, the proposed scheme applies the secret audio to a 1-D integer wavelet transform for acquiring filter results under different layers. Lastly, all wavelet coefficients are partitioned to (t-s+1) groups and share each group with different thresholds. The experimental results demonstrate that the proposed scheme can share secret audios efficiently and progressively.

1. Hou, Y.C.,Quan, Z.Y.(2011).Progressive visual cryptography with unexpanded shares.IEEE Trans. on Circuits and Systems for Video Technology,21(11),1760-1764.
   連結：
2. Hou, Y.C.,Quan, Z.Y.,Tsai, C.F.,Tseng, A.Y.(2013).Block-based progressive visual secret sharing.Information Sciences,233(1),290-304.
   連結：
3. Chen, S.K.,Lin, J.C.(2005).Fault-tolerance and progressive transmission of images.Pattern Recognition,38(12),2466-2471.
4. Fang, W.P.(2008).Friendly progressive visual secret sharing.Pattern Recognition,41(4),1410-1414.
5. Fleet, J.V.(2008).Discrete wavelet transformations: An elementary approach with applications.Hoboken, N.J.:John Wiley & Sons.
6. Huang, C.P.,Hsieh, C.H.,Huang, P.S.(2010).Progressive sharing for a secret image.Journal of Systems and Software,83(3),517-527.
7. Hung, K.H.,Chang, Y.J.,Lin, J.C.(2008).Progressive sharing of an image.Optical Engineering,48(4),047006.
8. Lin, S.J.,Chen, S.K.,Lin, J.C.(2010).Flip visual cryptography (FVC) with perfect security, conditionally-optimal contrast, and no expansion.Journal of Visual Communication and Image Research,21(8),900-916.
9. Quisquater, M.,Preneel, B.,Vandewalla, J.(2002).On the security of the threshold scheme based on the Chinese remainder theorem.5th International Workshop on Practice and Theory in Public Key Cryptosystems,Paris, France:
10. Shen, J.W.,Pan, F.,Guo, Y.(2012).Digital Audio Watermark Sharing Based on Chinese Remainder Theorem.5th International Congress on Image and Signal Processing,China:
11. Shyu, S.J.,Chen, Y.R.(2008).Threshold Secret Image Sharing by Chinese Remainder Theorem.Proceedings of the IEEE Asia-Pacific Services Computing Conference,Yilan:
12. Thien, C.C.,Lin, J.C.(2002).Secret image sharing.Computers & Graphics,26(5),765-770.