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Encryption based on compression can provide compression and encryption in a single step, in which redundancy is removed by compression and security is guaranteed by encryption. A novel secure arithmetic coding scheme based on order-1 Markov model is proposed in this paper, and it is applied to image encryption where images can be transmitted securely on the Internet and the proposed algorithm significantly improve the compression efficiency of coding. Experimental results and security analyses indicate that, the algorithm can not only resist existing attacks based on arithmetic coding, but also be immune to other cryptanalysis.
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Keywords:
- arithmetic coding /
- image encryption /
- markov model /
- adaptive-model
[1] Witten I H, Neal R M, Cleary J G 1987 Comput. Pract. 30 520
[2] Langdon G G Jr 1984 IBM J. RES. Develop. 28 135
[3] Witten I H, Cleary J G 1988 Comput. Secur. 7 397
[4] Bergen H A, Hogan J M 1992 Comput. Secur. 11 445
[5] Bergen H A, Hogan J M 1993 Comput. Secur. 12 157
[6] Cleary J G, Irvine S A, Rinsma-Melchert I 1995 Comput. Secur. 14 167
[7] Liu X, Farrell P G, Boyd C A 1997 Cryptography. Cod. 1355 199
[8] Grangetto M, Magli E, Olmo G 2006 IEEE Trans. Multimed. 8 905
[9] Wen J T, Kim H J, Villasenor J D 2006 IEEE Signal Process. Lett. 13 69
[10] Kim H J, Wen J T, Villasenor J D 2007 IEEE Trans. Signal Process. 55 2263
[11] Jakimoski G, Subbalakshmi K P 2008 IEEE Trans. Multimed. 10 330
[12] Pareek N K,Patidar V, Sud K K 2006 Imag. Vision Comput. 24 926
[13] Good L J 1965 The Estimation of Probabilities (Cambridge:Massachusetts Institute of Technology Press)
[14] Cleary J G, Witten I H 1984 IEEE Trans. Commun. 32 396
[15] Wang J Z, Xu S J, Yang S X 2008 Chin. Phys. B 17 4027
[16] Liu J S, Liu S B, Sun J, Xu Z Q 2009 Chin. Phys. B 18 5219
[17] Li Z C 2006 Information Theory and Coding(Xuzhou: China University of Mining Press) p95 (in Chinese) [李子臣 2006 信息论与编码 (徐州:中国矿业大学出版社) 第95页]
[18] Zhao F G, Ni X F, Jiang F 1999 J. Commun. 20 92 (in Chinese)[赵风光、倪兴芳、姜 峰 1999 通信学报 20 92 Xie D Q, Xie Z J, Li C, Leng J 2001 J. Commun. 22 41(in Chinese)〖谢冬青、谢志坚、李 超、冷 健 2001 通信学报 22 41]
[19] Zheng H R, Jin C H 2003 J. Commun. 24 73(in Chinese)[郑浩然、金晨辉 2003 通信学报 24 73]
[20] Gao L J, Yang X P, Li Z L, Wang X L, Zhai H C, Wang M W 2009 Acta Phys. Sin. 58 1053 (in Chinese)[高丽娟、杨晓苹、 李智磊、王晓雷、翟宏琛、王明伟 2009 58 1053] 〖22] Zhou Q, Hu Y, Liao X F 2008 Acta Phys. Sin. 57 5413 (in Chinese)[周 庆、胡 月、廖晓峰 2008 57 5413]
[21] Wang F P, Wang L, Wang Z J 2006 Acta Phys. Sin. 55 3964(in Chinese)[汪芙平、王 蕾、王赞基 2006 55 3964]
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[1] Witten I H, Neal R M, Cleary J G 1987 Comput. Pract. 30 520
[2] Langdon G G Jr 1984 IBM J. RES. Develop. 28 135
[3] Witten I H, Cleary J G 1988 Comput. Secur. 7 397
[4] Bergen H A, Hogan J M 1992 Comput. Secur. 11 445
[5] Bergen H A, Hogan J M 1993 Comput. Secur. 12 157
[6] Cleary J G, Irvine S A, Rinsma-Melchert I 1995 Comput. Secur. 14 167
[7] Liu X, Farrell P G, Boyd C A 1997 Cryptography. Cod. 1355 199
[8] Grangetto M, Magli E, Olmo G 2006 IEEE Trans. Multimed. 8 905
[9] Wen J T, Kim H J, Villasenor J D 2006 IEEE Signal Process. Lett. 13 69
[10] Kim H J, Wen J T, Villasenor J D 2007 IEEE Trans. Signal Process. 55 2263
[11] Jakimoski G, Subbalakshmi K P 2008 IEEE Trans. Multimed. 10 330
[12] Pareek N K,Patidar V, Sud K K 2006 Imag. Vision Comput. 24 926
[13] Good L J 1965 The Estimation of Probabilities (Cambridge:Massachusetts Institute of Technology Press)
[14] Cleary J G, Witten I H 1984 IEEE Trans. Commun. 32 396
[15] Wang J Z, Xu S J, Yang S X 2008 Chin. Phys. B 17 4027
[16] Liu J S, Liu S B, Sun J, Xu Z Q 2009 Chin. Phys. B 18 5219
[17] Li Z C 2006 Information Theory and Coding(Xuzhou: China University of Mining Press) p95 (in Chinese) [李子臣 2006 信息论与编码 (徐州:中国矿业大学出版社) 第95页]
[18] Zhao F G, Ni X F, Jiang F 1999 J. Commun. 20 92 (in Chinese)[赵风光、倪兴芳、姜 峰 1999 通信学报 20 92 Xie D Q, Xie Z J, Li C, Leng J 2001 J. Commun. 22 41(in Chinese)〖谢冬青、谢志坚、李 超、冷 健 2001 通信学报 22 41]
[19] Zheng H R, Jin C H 2003 J. Commun. 24 73(in Chinese)[郑浩然、金晨辉 2003 通信学报 24 73]
[20] Gao L J, Yang X P, Li Z L, Wang X L, Zhai H C, Wang M W 2009 Acta Phys. Sin. 58 1053 (in Chinese)[高丽娟、杨晓苹、 李智磊、王晓雷、翟宏琛、王明伟 2009 58 1053] 〖22] Zhou Q, Hu Y, Liao X F 2008 Acta Phys. Sin. 57 5413 (in Chinese)[周 庆、胡 月、廖晓峰 2008 57 5413]
[21] Wang F P, Wang L, Wang Z J 2006 Acta Phys. Sin. 55 3964(in Chinese)[汪芙平、王 蕾、王赞基 2006 55 3964]
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