A Pseudo Random Number Generator from Chaos

نویسندگان

  • Nabarun Mondal
  • Partha P. Ghosh
چکیده

A random number generator is proposed based on a theorem about existence of chaos in fixed point iteration of xn = cot(xn−1). Digital computer simulation of this function iteration exhibits random behavior. A method is proposed to extract random bytes from this simulation. Diehard and NIST test suite for randomness detection is run on this bytes, and it is found to pass all the tests in the suite. Thus, this method qualifies even for cryptographic quality random number generation.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Fast Chaos-Based Pseudo-Random Bit Generator Using Binary64 Floating-Point Arithmetic

Chaos-based cryptography is widely investigated in recent years, especially in the field of random number generators. The paper describes a novel pseudo-random bit generator (PRBG) based on chaotic logistic maps. Three logistic maps are combined in the algorithmic process, and a block of 32 random bits is produced at each iteration. The binary64 double precision format is used according to the ...

متن کامل

Chaos-based Pseudo-Random Number Generators and Chip Implementation

Cryptography as an ancient subject is endowed with new vigor by chaos theory. Cryptography protects the security of today’s ubiquitous Internet communication, which as an open network is vulnerable to attack. In this paper, chaos-based cryptography is surveyed with focus on designing chaotic pseudo-random number generators (CPRNGs) for stream cipher and their chip implementation. The properties...

متن کامل

Chaos Machine: Different Approach to the Application and Significance of Numbers

In this paper we describe a theoretical model of chaos machine, which combines the benefits of hash function and pseudo-random function, forming flexible one-way push-pull interface. It presents the idea to create a universal tool (design pattern) with modular design and customizable parameters, that can be applied where randomness and sensitiveness is needed (random oracle), and where appropri...

متن کامل

A Pseudo Random Number Generator Based on Chaotic Billiards

The systems of chaotic billiards revealed a well developed chaotic behavior. Despite its good characteristics, these systems have not yet been applied to the cryptography; among the reasons is the difficulty of expressing the equation of particle motion in an explicit form. In this work, we took advantage the properties offered by the random walks and unpredictability of two particles moving in...

متن کامل

Analysis of FIPS 140-2 Test and Chaos-Based Pseudorandom Number Generator

Pseudo random numbers are used for various purposes. Pseudo random number generators (PRNGs) are useful tools to provide pseudo random numbers. The FIPS 140-2 test issued by the American National Institute of Standards and Technologyhas been widely used for the verifications the statistical properties of the randomness of the pseudo random numbers generated by PRNGs. First this paper analyzes t...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012