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基于Markov性质的一阶安全算术编码及应用

段黎力 廖晓峰 向涛

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基于Markov性质的一阶安全算术编码及应用

段黎力, 廖晓峰, 向涛

Image encryption based on arithmetic coding with order-1 Markov model

Duan Li-Li, Liao Xiao-Feng, Xiang Tao
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  • 基于压缩编码的加密方式能够同时完成加密和压缩的功能,通过压缩减少了信息的冗余,同时引入加密使对试图推测出明文信息和找到密钥的攻击具有非常好的鲁棒性.本文提出了一种基于一阶Markov模型的安全算术编码,在编码过程中通过随机密钥保证图像压缩编码的安全性,且显著提高编码的压缩效率,使其方便在网络中安全传输.实验结果和安全性分析表明,算法能够抵抗现有的各种基于算术编码的安全性攻击和其他密码学分析.
    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.
    • 基金项目: 国家自然科学基金(批准号:60973114)、输配电装备及系统安全与新技术国家重点实验室自主研究项目(批准号:2007DA10512709207)、重庆市自然科学基金(批准号:2008BB2193,2009BA2024)、中央高校基本科研业务费(批准号:CDJZR10180020)、中国博士后科学基金(批准号:20100470817)和重庆市重点自然科学基金(批准号:2009BA2024)资助的课题.
    [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 物理学报 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 物理学报 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 物理学报 55 3964]

  • [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 物理学报 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 物理学报 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 物理学报 55 3964]

计量
  • 文章访问数:  7649
  • PDF下载量:  3163
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-11-16
  • 修回日期:  2009-12-24
  • 刊出日期:  2010-05-05

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