Security Analysis and Improvement of the Pseudo-random Number Generator Based on Piecewise Logistic Map

2019 ◽  
Vol 35 (4) ◽  
pp. 519-527 ◽  
Author(s):  
Dragan Lambić
Micromachines ◽  
2020 ◽  
Vol 12 (1) ◽  
pp. 31
Author(s):  
Junxiu Liu ◽  
Zhewei Liang ◽  
Yuling Luo ◽  
Lvchen Cao ◽  
Shunsheng Zhang ◽  
...  

Recent research showed that the chaotic maps are considered as alternative methods for generating pseudo-random numbers, and various approaches have been proposed for the corresponding hardware implementations. In this work, an efficient hardware pseudo-random number generator (PRNG) is proposed, where the one-dimensional logistic map is optimised by using the perturbation operation which effectively reduces the degradation of digital chaos. By employing stochastic computing, a hardware PRNG is designed with relatively low hardware utilisation. The proposed hardware PRNG is implemented by using a Field Programmable Gate Array device. Results show that the chaotic map achieves good security performance by using the perturbation operations and the generated pseudo-random numbers pass the TestU01 test and the NIST SP 800-22 test. Most importantly, it also saves 89% of hardware resources compared to conventional approaches.


2020 ◽  
Vol 25 (3) ◽  
pp. 187-198
Author(s):  
Rini Arianty ◽  
Diana Tri Susetianingtias

Informasi berbentuk gambar yang bersifat sensitif atau rahasia, seperti data pribadi, dokumen penting yang dikirimkan melalui internet belum tentu aman dari serangan pihak luar. Kerugian yang cukup besar dapat ditimbulkan apabila data tersebut diakses dan dimanipulasi oleh orang yang tidak bertanggung jawab. Salah satu metode dalam mengamankan suatu informasi adalah kriptografi. Logistic map adalah salah satu algoritma chaos yang sering digunakan dalam kriptografi citra karena algoritma ini mampu menghasilkan deretan bilangan acak yang kompleks dengan persamaan polinomial rekursif yang sederhana. Pada penelitian ini, akan diimplementasikan algoritma chaos logistic map dan pseudo-random number generator (PRNG) dalam pengenkripsian citra. Citra input akan diubah bentuknya kedalam array lalu proses difusi dilakukan secara selektif dengan mensubstitusi 4 bit MSB setiap nilai warna citra dengan kunci logistic map. Hasil difusi tersebut akan dikonfusi dengan cara mensubstitusikan indeks arraynya dengan kunci prng sehingga didapat sebuah array baru yang teracak indeksnya. Array tersebut diubah kembali menjadi sebuah citra sehingga didapat citra terenkripsi yang aman.


2019 ◽  
Vol 30 (05) ◽  
pp. 1950033 ◽  
Author(s):  
Jeaneth Machicao ◽  
Marcela Alves ◽  
Murilo S. Baptista ◽  
Odemir M. Bruno

This paper explores the deep-zoom properties of the chaotic [Formula: see text]-logistic map, in order to propose an improved chaos-based cryptosystem. This map was shown to enhance the random features of the Logistic map, while at the same time reducing the predictability about its orbits. We incorporate its strengths to security into a previously published cryptosystem to provide an optimal pseudo-random number generator (PRNG) as its core operation. The result is a reliable method that does not have the weaknesses previously reported about the original cryptosystem.


2013 ◽  
Vol 16 (2) ◽  
pp. 210-216 ◽  
Author(s):  
Sattar B. Sadkhan ◽  
◽  
Sawsan K. Thamer ◽  
Najwan A. Hassan ◽  
◽  
...  

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