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by: Antonina Wuckert

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# Advanced Applied Cryptography ECE 746

Antonina Wuckert
Mason
GPA 3.94

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
2
WORDS
KARMA
25 ?

## Popular in ELECTRICAL AND COMPUTER ENGINEERING

This 2 page Class Notes was uploaded by Antonina Wuckert on Monday September 28, 2015. The Class Notes belongs to ECE 746 at George Mason University taught by Staff in Fall. Since its upload, it has received 8 views. For similar materials see /class/215029/ece-746-george-mason-university in ELECTRICAL AND COMPUTER ENGINEERING at George Mason University.

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Date Created: 09/28/15
Statistical Test for Randomness Venkata Koonaparaju Specification initial submission ECE 746 Introduction Motivation and Originality Most of the practical random number generators have some built in regularities which sometimes also become their deficiencies Usage of these generators in cryptographic applications will need more security requirements than other applications There are mathematical safety measures that offer some protection against this issue One safety measure is to assess generators by theoretical tests and the other is to run empirical tests Since the year 2000 NIST has been developing a string of statistical test to predict the efficiently predict the randomness of a string of bits A total of 16 tests were developed implemented and tested as of today All of these tests were implemented in C by NIST The purpose of this project is to implement at least 8 of the tests in C This project can be extended to implement all the 16 of them and can also be used in CrypTool 20 in future Language and Platform This project will use net framework 30 and will run on Microsoft windows platform Visual Studio 2008 will be used to take advantage of new technologies like WPF and C is used as the base language because of its popularity and modern concepts and design Even though application developed in net run mostly on windows platform there are applications out in the market like Mono 10 which will let these applications run on other platforms like Sun Solaris This project doesn t look into the cross platform implementations and will use windows platforms Additional Software Required This project uses the C code developed by NIST for reference purposes and also might use them for testing purposes Testing Strategy The following steps will be involved in testing the implemented algorithms 1 Using a standard random number generator a set n bit sequences will be generated and stored in a text file The tests implemented in C will be run on the text file A output file will be generated with relevant intermediate values and like P Values based on which conclusions can be drawn WN The random strings generated for testing will consist of a mixture of periodic and almost random The empirical results can be conducted in many numbers of ways and this project uses the two approaches that NIST uses 1 The proportion of sequences that pass a statistical test 2 The distribution of Pvalues to check uniformity Time Schedule March 24 26th Complete mathematical analysis of the 8 test to be implemented Preparation of the development environment Understand the C implementation of NIST April 44 quot 16 quot Finish the C implementation of the almost all the test April 28 quot 30th Finish the C implementation if any left out from the previous progress report Generate the test sequences and the out files Interpretation of implementation results Tentative Changes Even though the obvious choice is to pick up the first 8 tests of the 16 the choice of tests might change and also the number of tests The following is the list of tentative tests I am The Frequency Monobit Test Frequency Test within a Block The Runs Test Test for the LongestRunof Ones in a Block The Binary Matrix Rank Test The Discrete Fourier Transform Spectral Test The Nonoverlapping Template Matching Test The Overlapping Template Matching Test WNWP PP NB Tentative Table 1 Introduction 11 Overview of Randomness 111 Random Number Generators 112 Pseudorandom Number Generators

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