• ETRI Journal
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• v.32 no.5
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• pp.774-783
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• 2010

Many chaos-based encryption methods have been presented and discussed in the last two decades, but very few of them are suitable to secure transmission on noisy channels or respect the standard of the National Institute of Standards and Technology (NIST). This paper tackles the problem and presents a novel chaos-based cryptosystem for secure transmitted images. The proposed cryptosystem overcomes the drawbacks of existing chaotic algorithms such as the Socek, Xiang, Yang, and Wong methods. It takes advantage of the increasingly complex behavior of perturbed chaotic signals. The perturbing orbit technique improves the dynamic statistical properties of generated chaotic sequences, permits the proposed algorithm reaching higher performance, and avoids the problem of error propagation. Finally, many standard tools, such as NIST tests, are used to quantify the security level of the proposed cryptosystem, and experimental results prove that the suggested cryptosystem has a high security level, lower correlation coefficients, and improved entropy.

• Proceedings of the Korea Information Processing Society Conference
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• 2001.10a
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• pp.511-514
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• 2001

본 연구에서는 카오스이론을 기초로하여 이미지를 암호화 할 수 있도록 하는 LCI(Logistic Chaos Cryptosystem Image)를 제안한다. 로지스틱맵을 이용한 이미지 암호화 기법은 초기 조건에 민감한 카오스의 특징을 이용하였다. 실험결과 제안된 LCI(Logistic Chaos Cryptosystem Image) 기법을 통해 이미지는 카오스적으로 표현되었으며, 소스이미지와 암호 이미지 사이는 관련성이 없었다. 향후 안전성이나 처리속도에 대한 검증과 표준화 문제 및 멀티미디어 자료 등에 대한 암호화 기법을 계속 연구해야 할 것이다. 실험결과 제안된 LCI 기법을 통해 암호문은 카오스적으로 표현되었으며, 소스이미지와 암호이미지 사이에 어떠한 동질성도 찾아 볼 수 없었다. 향후 안전성이나 처리속도에 대한 검증과 표준화 문제 및 멀티미디어 자료에 대한 암호화 기법을 계속 연구해야 할 것이다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.7 no.6
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• pp.1492-1511
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• 2013

A novel, chaotic map that is based on concatenated torus automorphisms is proposed in this paper. As we know, cat map, which is based on torus automorphism, is highly chaotic and is often used to encrypt information. But cat map is periodic, which decreases the security of the cryptosystem. In this paper, we propose a novel chaotic map that concatenates several torus automorphisms. The concatenated mechanism provides stronger chaos and larger key space for the cryptosystem. It is proven that the period of the concatenated torus automorphisms is the total sum of each one's period. By this means, the period of the novel automorphism is increased extremely. Based on the novel, concatenated torus automorphisms, two application schemes in image encryption are proposed, i.e., 2D and 3D concatenated chaotic maps. In these schemes, both the scrambling matrices and the iteration numbers act as secret keys. Security analysis shows that the proposed, concatenated, chaotic maps have strong chaos and they are very sensitive to the secret keys. By means of concatenating several torus automorphisms, the key space of the proposed cryptosystem can be expanded to $2^{135}$. The diffusion function in the proposed scheme changes the gray values of the transferred pixels, which makes the periodicity of the concatenated torus automorphisms disappeared. Therefore, the proposed cryptosystem has high security and they can resist the brute-force attacks and the differential attacks efficiently. The diffusing speed of the proposed scheme is higher, and the computational complexity is lower, compared with the existing methods.

• Proceedings of the Korean Information Science Society Conference
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• 1998.10c
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• pp.45-47
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• 1998

본 연구에서는 로버트 메이의 논리차이방정식(Logistic difference equation)을 이용하여 ASCII코드로 만들어진 문서를 암호화 할 수 있도록 하는 카오스 LCC(Logistic Chaos Cryptosystem)을 제안한다. 카오스를 이용한 암호화 기법은 기존의 암호화 기법으로 알려진 DES(Data Encrypion Standard)나 RSA(Rivest,Shamir,Adleman)등과는 비교되는 기법으로 초기 조건에 민감한 카오스의 특징을 이용하였다. 실험결과 제안된 LCC 기법을 통해 암호문은 카오스적으로 표현되었으며, 원문과 암호문 사이에 어떠한 관련성도 찾아 볼수 없었다. 향후 안전성이나 처리속도에 대한 검증과 표준화 문제 및 멀티미디어 자료등에 대한 암호화 기법을 계속 연구해야 할 것이다.

• ETRI Journal
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• v.42 no.4
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• pp.619-632
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• 2020

Highly dispersive S-boxes are desirable in cryptosystems as nonlinear confusion sublayers for resisting modern attacks. For a near optimal cryptosystem resistant to modern cryptanalysis, a highly nonlinear and low differential probability (DP) value is required. We propose a method based on a piecewise linear chaotic map (PWLCM) with optimization conditions. Thus, the linear propagation of information in a cryptosystem appearing as a high DP during differential cryptanalysis of an S-box is minimized. While mapping from the chaotic trajectory to integer domain, a randomness test is performed that justifies the nonlinear behavior of the highly dispersive and nonlinear chaotic S-box. The proposed scheme is vetted using well-established cryptographic performance criteria. The proposed S-box meets the cryptographic performance criteria and further minimizes the differential propagation justified by the low DP value. The suitability of the proposed S-box is also tested using an image encryption algorithm. Results show that the proposed S-box as a confusion component entails a high level of security and improves resistance against all known attacks.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.12 no.9
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• pp.4487-4511
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• 2018

A fast image encryption system based on substitution and diffusion was proposed, which includes one covering process, one substitution process and two diffusion processes. At first, Chen's chaotic system together with an external 256-bit long secret key was used to generate the key streams for image encryption, in which the initial values of Chen's chaotic system were regarded as the public key. Then the plain image was masked by the covering process. After that the resulting image was substituted with the disturbed S-Box of AES. Finally, the substituted image was diffused twice with the add-modulo operations as the core to obtain the cipher image. Simulation analysis and comparison results with AES and some existing image cryptosystems show that the proposed image cryptosystem possesses the merits of fast encryption/decryption speed, good statistical characteristics, strong sensitivity and etc., and can be used as a candidate system of network security communication.