Design, FPGA implementation and statistical analysis of chaos-ring based dual entropy core true random number generator

Koyuncu, İ̇smail; Tuna, Murat; Pehlivan, İ̇hsan; Fidan, Can Bülent; Alçın, Murat

doi:10.1007/s10470-019-01568-x

Cited by 61 publications

(28 citation statements)

References 50 publications

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“…In recent years, great efforts have been carried out on the development of chaos-based TRNG structures due to the features ( [24]- [26]) including noise-like properties and hiding the information signal of chaotic oscillators ( [27]- [29]). Random number generators have been used in many areas including cryptography, applications using the Monte-Carlo method, computer simulations and modeling and numerical analysis applications ( [30]- [33]). In this study, the designed Heun based discrete mathematical model of a new 5-D hyperchaotic dynamo system is given by the system of equations (11).…”

Section: The New 5-d Hyperchaotic Dynamo System and Ring Based Dual Core Trngmentioning

confidence: 99%

A 5-D Multi-Stable Hyperchaotic Two-Disk Dynamo System With No Equilibrium Point: Circuit Design, FPGA Realization and Applications to TRNGs and Image Encryption

Vaidyanathan

Sambas²,

Abd-El-Atty

et al. 2021

IEEE Access

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In this work, we devise a new 5-D hyperchaotic dynamo system by adding two feedback controllers to the Rikitake 2-disk dynamo system (1958). We show that the new 5-D hyperchaotic system does not possess any equilibrium point and deduce that the new 5-D system has a hidden hyperchaotic attractor. Using Multisim, we develop an electronic circuit design of the new 5-D hyperchaotic dynamo system for practical applications. We also exhibit the implementation of the new 5-D hyperchaotic dynamo system by using a field-programmable gate array (FPGA), which requires adders, subtractors and multipliers. The hardware resources are given for the application of three numerical methods, all of them providing results in good agreement with MATLAB simulations. As an application, we devise a dual core high speed hybrid true random number generator (TRNG) using Ring and Heun algorithm based on the new 5-D hyperchaotic oscillator on FPGA. Based on the hyperchaotic features of the proposed 5-D hyperchaotic dynamo system, we suggest a new encryption approach for colour images. Simulation outcomes of the presented encryption approach confirm that our chaotic system has good cryptographic properties and its usability in different cryptographic purposes.

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Section: The New 5-d Hyperchaotic Dynamo System and Ring Based Dual Core Trngmentioning

confidence: 99%

A 5-D Multi-Stable Hyperchaotic Two-Disk Dynamo System With No Equilibrium Point: Circuit Design, FPGA Realization and Applications to TRNGs and Image Encryption

Vaidyanathan

Sambas²,

Abd-El-Atty

et al. 2021

IEEE Access

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“…Fig. 3 represents the structure of the ring oscillator [37]. In this study, a ring oscillator that can operate in synchronization with the chaotic oscillator was designed.…”

Section: Ring Oscillatorsmentioning

confidence: 99%

“…Studies on FPGA-based chaotic TRNG studies are increasing in the literature [12,[26][27][28][29][30][31][32][33][34][35][36][37]. Koyuncu et al [12] designed chaos-based TRNG design on Xilinx Virtex-6 FPGA using the Sundarapandian-Pehlivan chaotic system using the design based on RK4 numerical algorithm.…”

Section: Introductionmentioning

confidence: 99%

A Novel Dormand-Prince Based Hybrid Chaotic True Random Number Generator on FPGA

Koyuncu

Şeker²,

Alçın

et al. 2021

Balkan Journal of Electrical and Computer Engineering

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This study presents a Dormand-Prince-based hybrid chaotic True Random Number Generator Design (TRNG) that can be used for secure communication and cryptographic applications on Field Programmable Gate Array (FPGA). In this design, a chaotic oscillator unit has been implemented with an FPGA-based Sprott-Jafari chaotic oscillator model suitable with IQ-Math fixed point number and IEEE 754-1985 floating point number standards. Random numbers have been produced with the quantization of the results generated by the chaotic oscillator. XOR has been performed with FPGA-based ring oscillator structure on the post-processing unit so as to enhance the randomness. The differential equation of the chaotic system used in the TRNG design was modelled using Dormand-Prince numerical algorithm method. The design on FPGA has been realized in two separate number formats including 32-bit (16I-16Q) IQ-Math fixed point number standard and 32-bit IEEE 754-1985 floating point number standard. The realized design has been coded in VHDL, a hardware description language, and the Xilinx ISE 14.7 program has been used for the system design. The TRNG design has been synthesized and tested for the Virtex-6 (XC6VLX240T-1FF1156) FPGA chip. The maximum operating frequencies of the TRNG in 32-bit IQ-Math fixed point number standard and 32-bit IEEE 754-1985 floating point number standard reach 344.585 MHz and 316 MHz, respectively. The throughputs of the TRNG in 32-bit IQ-Math fixed point number standard and 32-bit IEEE 754-1985 floating point number standard have been obtained as 344 Mbit/s and 316 Mbit/s, respectively. 1 Mbit sequence has been generated by using TRNG system. Randomness analysis of the generated numbers has been

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“…Ring oscillators are the oscillators consisting of an odd number of NOT gates connected cascade (Koyuncu et al 2020). The output of each gate is connected to the input of the next gate, and the output of the last gate is connected to the input of the first gate.…”

Section: Introductionmentioning

confidence: 99%

“…The output of each gate is connected to the input of the next gate, and the output of the last gate is connected to the input of the first gate. Ring oscillators generate a square wave having a frequency depending on the delay of the ring (Koyuncu et al 2020;Tuncer 2016). Therefore, the frequency of the obtained square wave varies according to the static and dynamic factors in the elements forming the ring.…”

Section: Introductionmentioning

confidence: 99%

FPGA-based Dual Core TRNG Design Using Ring and Runge-Kutta-Butcher based on Chaotic Oscillator

Alçın

Tuna

Erdoğmuş

et al. 2021

Chaos Theory and Applications

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Despite the fact that chaotic systems do not have very complex circuit structures, interest in chaotic systems has increased considerably in recent years due to their interesting dynamic properties. Thanks to the noise-like properties of chaotic oscillators and the ability to mask information signals, great efforts have been made in recent years to develop chaos-based TRNG structures. In this study, a new chaos-based Dual Entropy Core (DEC) TRNG with high operating frequency and high bit generation rate was realized using 3D Pehlivan-Wei Chaotic Oscillator (PWCO) structure designed utilizing RK5-Butcher numerical algorithm on FPGA and ring oscillator structure. In the FPGA-based TRNG model of the system, 32-bit IQ-Math fixed-point number standard is used. The developed model is coded using VHDL. The designed TRNG unit was synthesized for Virtex-7 XC7VX485T-2FFG1761 chip produced by Xilinx. Then, the statistics of the parameters of FPGA chip resource usage and unit clock speed were examined. The data processing time of the TRNG unit was achieved by using the Xilinx ISE Design Tools 14.2 simulation program, with a high bit production rate of 437.043 Mbit/s. In addition, number sequences obtained from FPGA-based TRNG were subjected to the internationally valid statistical NIST 800-22 Test Suite and all the randomness tests of NIST 800-22 Test Suite were successful.

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Design, FPGA implementation and statistical analysis of chaos-ring based dual entropy core true random number generator

Cited by 61 publications

References 50 publications

A 5-D Multi-Stable Hyperchaotic Two-Disk Dynamo System With No Equilibrium Point: Circuit Design, FPGA Realization and Applications to TRNGs and Image Encryption

A 5-D Multi-Stable Hyperchaotic Two-Disk Dynamo System With No Equilibrium Point: Circuit Design, FPGA Realization and Applications to TRNGs and Image Encryption

A Novel Dormand-Prince Based Hybrid Chaotic True Random Number Generator on FPGA

FPGA-based Dual Core TRNG Design Using Ring and Runge-Kutta-Butcher based on Chaotic Oscillator

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