Chaotic Combiner for Linear Feedback Shift Register Sequences

Abstract

Cryptography is widely used by everybody in day-to-day activities. Many cryptographic algorithms rely on pseudorandom number sequences. One of the quickest methods of pseudorandom number generation is using linear feedback shift registers (LFSR) to generate sequences. LFSR sequences exhibit good statistical properties, but alone are not adequately secure due to their low linear complexity. To enhance the security, separate LFSR sequences can be combined into a single pseudorandom string by using a combiner. In this thesis, creating a combiner function using another pseudorandom sequence derived from the chaotic motion of a double pendulum is investigated. Using the information from this driving function, an iterative process occurs whereby certain LFSR sequence blocks are selected and combined. The resultant sequences are sufficiently random as proven by the 15 tests adopted by the National Institute of Standards and Technology to evaluate the randomness of binary strings.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2020
Accession Number
AD1114218

Entities

People

  • Alexander Gutzler

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • California
  • Coding
  • Commerce
  • Computations
  • Computer Programming
  • Cryptography
  • Decoding
  • Equations
  • Frequency
  • Numbers
  • Polynomials
  • Probability
  • Pseudo Random Sequences
  • Sequences
  • Shift Registers
  • Standards
  • Statistical Tests
  • United States

Fields of Study

  • Computer science
  • Mathematics

Readers

  • Computer Programming and Software Development.
  • Control Systems Engineering.
  • Systems Analysis and Design

Technology Areas

  • Cyber
  • Cyber - Cryptography