• KSII Transactions on Internet and Information Systems (TIIS)
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• 제7권6호
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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.

• 한국전자통신학회논문지
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• 제13권2호
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• pp.411-418
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• 2018

본 논문에서는 집적영상에서 가상광학과 혼돈 수열(chaos sequence)을 결합하여 3차원 물체 영상을 암호화는 새로운 방법을 제안한다. 먼저 가상 핀홀 배열(virtual pinhole array)을 통하여 2차원 요소영상 배열(EIA)을 생성한 후, 이를 이용해 3차원 물체를 디지털로 만든다. 그 후 혼돈 수열의 논리적 연산을 통해 최종 암호화 영상을 만든다. 이러한 방법은 영상 데이터를 시각화하기 위한 영상의 기본 정보인 픽셀의 값을 변환시키기 때문에 기존의 암호화 방법보다 향상된 암호화 결과를 얻을 수 있다. 실험을 통해 본 암호화 방법의 유효성과 안정성을 검증한다.

• 한국전자통신학회논문지
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• 제15권1호
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• pp.179-184
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• 2020

랜덤성이 우수한 의사난수열 생성기로 알려진 셀룰라 오토마타(Cellular automata, CA)는 그 응용분야가 매우 다양하다. Cho 등은 긴 주기의 비선형 수열을 생성하기 위하여 CA기반의 수축수열 생성기를 설계하였다. 또한, 카오스 캣맵은 초기 조건에 대한 민감성과 예측 불가능한 특성을 가지는 복잡한 비선형 동역학계로 많은 연구자들에 의하여 연구되어 왔다. 본 논문에서는 높은 보안성을 위하여 최대 주기를 갖는 CA기반의 수축 생성기로 생성한 비선형 수열과 3차원 카오스 캣맵을 이용한 새로운 영상 암호화 방법을 제안한다.

• ETRI Journal
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• 제32권5호
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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.

• 대한전자공학회논문지SP
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• 제42권5호
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• pp.173-180
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• 2005

본 논문에서는 JPEG2000 표준에서 주파수 변환기법으로 채택된 이산 웨이블릿 변환을 기반으로 영상의 부분 데이터만을 암호화하여 계산량을 줄이는 방법을 제안하였다. 또한 계산량이 많은 암호화 알고리즘 대신 비교적 계산량이 적은 캣맵(cat mad)과 카오스 시스템을 이용함으로써 계산량을 더욱 감소시켰다. 이 방법은 영상의 압축비를 유지하기 위해서 양자화와 엔트로피 코딩 사이에서 암호화를 수행하며, 부대역의 선택과 카오스 시스템을 이용한 무작위 변환방법을 사용한다. 영상에 대한 실험방법은 우선 암호화할 부대역을 선택하여 영상데이터를 3차원 블록으로 만든 후 캣맵에 의해 3차원으로 영상의 픽셀값을 교환 하는 방법과 캣맵에 의해 암호화된 부대역을 카오스 시스템을 이용하여 모듈러 연산에 의해 암호화하였다. 또한, JPEG2000의 점진적 전송(Progressive transmission)에 적합하게 암호화하기 위해서 비트 평면을 선택하여 암호화하였다. 제안한 방법을 소프트웨어로 구현하여 500개의 영상을 대상으로 실험한 결과 원 영상 데이터를 부분적으로 암호화함으로써 원 영상을 인식할 수 없을 정도의 암호화효과를 얻을 수 있었다. 본 논문에서는 여러 방식을 제안하였으며, 이들의 암호화 수행시간과 암호화 효율 사이에는 상보적인 관계가 있음을 보여, 적용분야에 따라 선택적으로 사용할 수 있음을 보였다.

• International Journal of Computer Science & Network Security
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• 제21권3호
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• pp.83-93
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• 2021

COVID-19 poses a major risk to global health, highlighting the importance of faster and proper diagnosis. To handle the rise in the number of patients and eliminate redundant tests, healthcare information exchange and medical data are transmitted between healthcare centres. Medical data sharing helps speed up patient treatment; consequently, exchanging healthcare data is the requirement of the present era. Since healthcare professionals share data through the internet, security remains a critical challenge, which needs to be addressed. During the COVID-19 pandemic, computed tomography (CT) and X-ray images play a vital part in the diagnosis process, constituting information that needs to be shared among hospitals. Encryption and image steganography techniques can be employed to achieve secure data transmission of COVID-19 images. This study presents a new encryption with the image steganography model for secure data transmission (EIS-SDT) for COVID-19 diagnosis. The EIS-SDT model uses a multilevel discrete wavelet transform for image decomposition and Manta Ray Foraging Optimization algorithm for optimal pixel selection. The EIS-SDT method uses a double logistic chaotic map (DLCM) is employed for secret image encryption. The application of the DLCM-based encryption procedure provides an additional level of security to the image steganography technique. An extensive simulation results analysis ensures the effective performance of the EIS-SDT model and the results are investigated under several evaluation parameters. The outcome indicates that the EIS-SDT model has outperformed the existing methods considerably.

• Journal of Multimedia Information System
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• 제7권2호
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• pp.165-174
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• 2020

This document outlines a new color image encryption technology development. After splitting the original image into 240-bit blocks and modifying the first block by an initialization vector, an improved Feistel circuit is applied, sponsored by a genetic crossover operator and then strong chaining between the encrypted block and the next clear block is attached to set up the confusion-diffusion and heighten the avalanche effect, which protects the system from any known attack. Simulations carried out on a large database of color images of different sizes and formats prove the robustness of such a system.

• Journal of the Optical Society of Korea
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• 제20권3호
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• pp.341-357
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• 2016

A novel asymmetric multiple-image encryption method using an octonion Fresnel transform (OFST) and a two-dimensional Sine Logistic modulation map (2D-SLMM) is presented. First, a new multiple-image information processing tool termed the octonion Fresneltransform is proposed, and then an efficient method to calculate the OFST of an octonion matrix is developed. Subsequently this tool is applied to process multiple plaintext images, which are represented by octonion algebra, holistically in a vector manner. The complex amplitude, formed from the components of the OFST-transformed original images and modulated by a random phase mask (RPM), is used to derive the ciphertext image by employing an amplitude- and phase-truncation approach in the Fresnel domain. To avoid sending whole RPMs to the receiver side for decryption, a random phase mask generation method based on SLMM, in which only the initial parameters of the chaotic function are needed to generate the RPMs, is designed. To enhance security, the ciphertext and two decryption keys produced in the encryption procedure are permuted by the proposed SLMM-based scrambling method. Numerical simulations have been carried out to demonstrate the proposed scheme's validity, high security, and high resistance to various attacks.

• 한국컴퓨터정보학회논문지
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• 제16권2호
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• pp.201-206
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• 2011

디지털 디스플레이어의 보급과 발달로 인하여 기존의 인쇄용 액자보다 디지털 액자에 대한 관심이 높아지고 있다. 우리는 이런 디지털 액자를 정적인 자료 디스플레이용도 뿐만 아니라 CCD 카메라와 조합하여 감시용 모니터링 장비로 활용하기 위한 새로운 LCD 전자 액자를 개발하였다. 개발된 액자는 감시용 화상 데이터의 보안을 위해 기존의 양방향 통신암호화를 대체하여 단방향 통신 암호화 방법으로 개발 하였다. 이 방법은 혼돈계의 단방향 동기화현상을 이용한 것으로 일정 시간 동안 동기화를 진행 시키면 어느 시점에서든 암호화와 복호화를 시킬 수 있는 방법으로 양방향 통신 암호화와 같은 결과를 얻을 수 있다. 또한, 우리가 제시한 이 방법을 유비쿼터스 기기의 근거리 통신방법에 적용한다면 보다 효율적인 결과를 얻을 수 있을 것으로 생각된다.

• ETRI Journal
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• 제35권3호
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• pp.448-458
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• 2013

This paper presents a generalized post-processing technique for enhancing the pseudorandomness of digital chaotic oscillators through a nonlinear XOR-based operation with rotation and feedback. The technique allows full utilization of the chaotic output as pseudorandom number generators and improves throughput without a significant area penalty. Digital design of a third-order chaotic system with maximum function nonlinearity is presented with verified chaotic dynamics. The proposed post-processing technique eliminates statistical degradation in all output bits, thus maximizing throughput compared to other processing techniques. Furthermore, the technique is applied to several fully digital chaotic oscillators with performance surpassing previously reported systems in the literature. The enhancement in the randomness is further examined in a simple image encryption application resulting in a better security performance. The system is verified through experiment on a Xilinx Virtex 4 FPGA with throughput up to 15.44 Gbit/s and logic utilization less than 0.84% for 32-bit implementations.