Modified Logistic Maps for Discrete Time Chaos Based Random Number Generator

Magfirawaty,; Lestari, Andriani Adi; Suryadi, M. T.; Ramli, Kalamullah

doi:10.1109/icecos.2018.8605239

Cited by 3 publications

(1 citation statement)

References 11 publications

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“…Many picture encryption techniques based on chaotic systems have been presented in the field of information security research [3], [10]. Many picture encryption methods have been developed based on chaotic maps, such as the Logistic map [11].…”

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Image encryption algorithm based on the density and 6D logistic map

Rashid

Hussein

2023

IJECE

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One of the most difficult issues in the history of communication technology is the transmission of secure images. On the internet, photos are used and shared by millions of individuals for both private and business reasons. Utilizing encryption methods to change the original image into an unintelligible or scrambled version is one way to achieve safe image transfer over the network. Cryptographic approaches based on chaotic logistic theory provide several new and promising options for developing secure Image encryption methods. The main aim of this paper is to build a secure system for encrypting gray and color images. The proposed system consists of two stages, the first stage is the encryption process, in which the keys are generated depending on the chaotic logistic with the image density to encrypt the gray and color images, and the second stage is the decryption, which is the opposite of the encryption process to obtain the original image. The proposed method has been tested on two standard gray and color images publicly available. The test results indicate to the highest value of peak signal-to-noise ratio (PSNR), unified average changing intensity (UACI), number of pixel change rate (NPCR) are 7.7268, 50.2011 and 100, respectively. While the encryption and decryption speed up to 0.6319 and 0.5305 second respectively.

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confidence: 99%

Image encryption algorithm based on the density and 6D logistic map

Rashid

Hussein

2023

IJECE

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The Construction of D-M Chaos Model and Its Application in Mixed Circuits Testing

Zhu,

Cui,

2023

2023 Asia-Pacific Conference on Image Processing, Electronics and Computers (IPEC)

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A Novel Discrete-Time Chaos-Function-Based Random-Number Generator: Design and Variability Analysis

et al. 2022

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This paper presents a novel discrete-time (DT) chaotic map-based random-number generator (RNG), namely the Siponi map, which is a modification of the Logistic map. The Logistic map is usually applied to cryptosystems, mainly for the purposes of generating random numbers. In addition to being easy to implement, it has a better security level than other nonlinear functions. However, it can only process positive real-number inputs. Our proposed map is a deterministic function that can process positive and negative real values. We explored the map comprehensively and investigated its characteristics and parameters. We calculated the optimum parameter values using empirical and theoretical mathematical models to yield the maximum randomness of a sequence of bits. The limit variation of the maximum parameter value was determined based on a practical information measure. Empirical verification was performed for the Siponi map to generate bit sequences unrelated to the previous bit with high entropy values, and we found the extractor function threshold value to be 0.5, while the parameter control was −2 or 2. Using our proposed map, a simple RNG without post-processing passed DieHard statistical tests and all the tests on the NIST SP 800-22. Finally, we have implemented a Siponi map-based RNG on the FPGA board and demonstrated that the sources used are LUT = 4086, DSP = 62, and register = 2206.

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Modified Logistic Maps for Discrete Time Chaos Based Random Number Generator

Cited by 3 publications

References 11 publications

Image encryption algorithm based on the density and 6D logistic map

Image encryption algorithm based on the density and 6D logistic map

The Construction of D-M Chaos Model and Its Application in Mixed Circuits Testing

A Novel Discrete-Time Chaos-Function-Based Random-Number Generator: Design and Variability Analysis

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