Mathematical modeling and analysis technique of stream cipher cryptosystem

Dissertant

al-Shammari, Iyad Ghazi Nasir

Thesis advisor

Rahmah, Abd al-Munim Salih
Salman, Shadha A.

University

University of Technology

Faculty

-

Department

Applied Sciences Department

University Country

Iraq

Degree

Ph.D.

Degree Date

2009

English Abstract

The Periodicity, Linear Ccmpkoriiy, Randomness and Correlation Immunity used as basic criterions to measure Key Generator Efficiency.

The key generator depends basically on LFSR which is considered as one c-f the basic units, beside the combining function, of stream cipher systems.

Through this thesis, these basic criterions can be calculated theoretically for any key generator before it be implemented or constructed (software or hardware).

The implementation of the basic efficiency criterions on key generator reduces the time and the cost since the implementation of these tests applied before the final practical construction of tine key generator.

To approach efficient key generator, some conditions, which must be available in any? key generator, are introduced.

The Linear, Product and Brucr cryptosystems are chosen to be our study cases.

This work introduces the mathematical proof of the good efficiency of the Linear and Briier key generator deterministically.

In the same time, we introduce the fail of the Product key generator to pass the basic efficiency criterions tests.

Lastly this thesis introduce the theoretical and practical evolution of rhe three study vasex and the evolution results appear that Bruer key generator is the best among the other key generator.

Main Subjects

Information Technology and Computer Science

Topics

• Mathematics
• Mathematical models
• Data processing
• Encryption

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-305051