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Delay line length selection in generating fast random numbers with a chaotic laser.

Jianzhong Zhang¹, Yuncai Wang, Lugang Xue

¹Institute of Optoelectronic Engineering, College of Physics & Optoelectronics, Taiyuan University of Technology, Taiyuan, Shanxi, China.

|April 17, 2012

Summary

Fast random number generation using chaotic semiconductor lasers is improved by using a time-delayed signal. This method overcomes periodicity issues, ensuring high-quality random bit streams for secure applications.

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Area of Science:

Physics
Optical Engineering
Information Security

Background:

Chaotic light signals from external cavity semiconductor lasers offer a method for fast random number generation.
Periodicity in generated random sequences can arise due to the photon round-trip time in the laser's external cavity.

Purpose of the Study:

To develop a method to overcome periodicity in random number sequences generated by chaotic lasers.
To identify the optimal delay time for extracting random numbers from chaotic laser signals.

Main Methods:

Utilizing the exclusive-or (XOR) operation on chaotic laser signals and their time-delayed counterparts.
Conducting extensive experiments and theoretical analysis of the Runs test and autocorrelation function.
Determining the critical autocorrelation coefficient threshold for selecting the delay length.

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Main Results:

A specific delay time, identified by an autocorrelation coefficient below 0.007, effectively eliminates periodicity.
The proposed method successfully generates streams of random numbers with verified randomness.
The interplay between the Runs test and autocorrelation function threshold is crucial for reliable random number generation.

Conclusions:

The selection of an appropriate delay time is critical for generating high-quality random numbers from chaotic laser signals.
This technique provides a robust method for producing fast, verified random number streams.
The findings contribute to advancements in secure communication and cryptography.