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A hybrid stream cipher scheme is proposed based on the novel interacting neural networks and the multiple chaotic systems. At first, random sequences generated by 3 independent logistics functions respectively are taken as dynamic inputs to 3 hidden layers of the interacting neural networks model. Then two inner weights of the two structures of neural networks will be synchronized through some steps of interacting learning, and the random key stream can be finally identified by combining the random sequence extracted from the aforementioned synchronized weight and 3 Logistics sequences. The comparison shows that the generated key stream performs the better randomness than others. As a good example, the proposed novel chaos-based stream cipher works perfectly on digital image encryption.
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Keywords:
- chaos /
- neural networks /
- weight synchronization /
- random key stream
[1] Alvarez G, Li S 2006 Int. J. Bifurcat. Chaos 16 2129
[2] Dachselt F, Schwarz W 2001 IEEE Trans. Circ. Syst. I 48 14
[3] Stojanovski T, Kocarev L 2001 IEEE Trans. Circ. Syst. I 48 281
[4] Li S, Mou X, Cai Y 2001 Second International Conference on Cryptology in India, Chennai, India, December 16-20, 2001 p316
[5] Xu S J, Wang J Z 2008 Acta Phys. Sin. 57 37 (in Chinese) [徐淑奖, 王继志2008 57 37]
[6] Ariffin M, Abu N 2009 Int. J. Crypt. Res. 1 1490163
[7] Li W, Hao J H, Qi B 2008 Acta Phys. Sin. 57 1398 (in Chinese) [李伟, 郝建红, 祁兵2008 57 1398]
[8] David A, Gonzalo A, Li S 2011 Commun. Nonlinear Sci. 16 805
[9] Xiang F, Qiu S S 2008 Acta Phys. Sin. 57 6132 (in Chinese) [向菲, 丘水生 2008 57 6132]
[10] Chen X J, Li Z, Cai J P, Bai B M 2011 Acta Phys. Sin. 60 064215 (in Chinese) [陈小军, 李赞, 蔡觉平, 白宝明 2011 60 064215]
[11] Yin R M, Yuan J, Shan X M 2011 Sci. China Informat. 41 777 (in Chinese) [尹汝明, 袁坚, 山秀明 2011中国科学: 信息科学 41 777]
[12] Aihara1 K, Takabe T, Toyoda M 1990 Phys. Lett. A 144 333
[13] Wolfgang K, Kanter I 2002 Solid State Phys. 42 383
[14] Chen T M, Cai J M, Ma S L 2011 China Commun. 8 118
[15] Chen T M, Huang S H, Liu D, Cai J M 2009 J. Comput. Res. Develop. 46 1316 (in Chinese) [陈铁明, Samuel H Huang, 刘多, 蔡家楣 2009 计算机研究与发展 46 1316]
[16] Markus V, Sebastian W 2005 IACR Cryptology ePrint Archive 2005 232
[17] Rukhin A, Soto J, Nechvatal J 2001 NIST Special Publication 800-22 13
[18] Chen S, Zhong X, Wu Z 2008 Sci. China F Informat. Sci. 51 1055
[19] Wang Z, Huang X, Li N, Song X N 2012 Chin. Phys. B 21 050506
[20] Yuen C H, Wong K W 2012 Chin. Phys. B 21 010502
[21] Sun F, Lü Z W 2011 Chin. Phys. B 20 040506
[22] Zhu C X, Sun K H 2012 Acta Phys. Sin. 61 120503 (in Chinese) [朱从旭, 孙克辉 2012 61 120503]
[23] Perez G, Cerdeira H 1995 Phys. Rev. Lett. 74 1970
[24] Wang X, Zhan M, Lai C H, Gang H 2004 Chaos 14 128
[25] Wang X Y, Xie Y X, Qin X 2012 Chin. Phys. B 21 040504
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[1] Alvarez G, Li S 2006 Int. J. Bifurcat. Chaos 16 2129
[2] Dachselt F, Schwarz W 2001 IEEE Trans. Circ. Syst. I 48 14
[3] Stojanovski T, Kocarev L 2001 IEEE Trans. Circ. Syst. I 48 281
[4] Li S, Mou X, Cai Y 2001 Second International Conference on Cryptology in India, Chennai, India, December 16-20, 2001 p316
[5] Xu S J, Wang J Z 2008 Acta Phys. Sin. 57 37 (in Chinese) [徐淑奖, 王继志2008 57 37]
[6] Ariffin M, Abu N 2009 Int. J. Crypt. Res. 1 1490163
[7] Li W, Hao J H, Qi B 2008 Acta Phys. Sin. 57 1398 (in Chinese) [李伟, 郝建红, 祁兵2008 57 1398]
[8] David A, Gonzalo A, Li S 2011 Commun. Nonlinear Sci. 16 805
[9] Xiang F, Qiu S S 2008 Acta Phys. Sin. 57 6132 (in Chinese) [向菲, 丘水生 2008 57 6132]
[10] Chen X J, Li Z, Cai J P, Bai B M 2011 Acta Phys. Sin. 60 064215 (in Chinese) [陈小军, 李赞, 蔡觉平, 白宝明 2011 60 064215]
[11] Yin R M, Yuan J, Shan X M 2011 Sci. China Informat. 41 777 (in Chinese) [尹汝明, 袁坚, 山秀明 2011中国科学: 信息科学 41 777]
[12] Aihara1 K, Takabe T, Toyoda M 1990 Phys. Lett. A 144 333
[13] Wolfgang K, Kanter I 2002 Solid State Phys. 42 383
[14] Chen T M, Cai J M, Ma S L 2011 China Commun. 8 118
[15] Chen T M, Huang S H, Liu D, Cai J M 2009 J. Comput. Res. Develop. 46 1316 (in Chinese) [陈铁明, Samuel H Huang, 刘多, 蔡家楣 2009 计算机研究与发展 46 1316]
[16] Markus V, Sebastian W 2005 IACR Cryptology ePrint Archive 2005 232
[17] Rukhin A, Soto J, Nechvatal J 2001 NIST Special Publication 800-22 13
[18] Chen S, Zhong X, Wu Z 2008 Sci. China F Informat. Sci. 51 1055
[19] Wang Z, Huang X, Li N, Song X N 2012 Chin. Phys. B 21 050506
[20] Yuen C H, Wong K W 2012 Chin. Phys. B 21 010502
[21] Sun F, Lü Z W 2011 Chin. Phys. B 20 040506
[22] Zhu C X, Sun K H 2012 Acta Phys. Sin. 61 120503 (in Chinese) [朱从旭, 孙克辉 2012 61 120503]
[23] Perez G, Cerdeira H 1995 Phys. Rev. Lett. 74 1970
[24] Wang X, Zhan M, Lai C H, Gang H 2004 Chaos 14 128
[25] Wang X Y, Xie Y X, Qin X 2012 Chin. Phys. B 21 040504
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