Recent advances in the theory of nonlinear pseudorandom number generators

Warning The system is temporarily closed to updates for reporting purpose.

Çeşmelioğlu, Ayça (2002) Recent advances in the theory of nonlinear pseudorandom number generators. [Thesis]

PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader

Official URL: http://risc01.sabanciuniv.edu/record=b1064333 (Table of Contents)


The classical linear congruential method for generating uniform pseudorandom numbers has some deficiencies that can render them useless for some simulation problems. This fact motivated the design and the analysis of nonlinear congruential methods for the generation of pseudorandom numbers. In this thesis, we aim to review the recent developments in the study of nonlinear congruential pseudorandom generators. Our exposition concentrates on inversive generators. We also describe the so-called power generator and the quadratic exponential generator which are particularly interesting for cryptographic applications. We give results on the period length and theoretical analysis of these generators. The emphasis is on the lattice structure, discrepancy and linear complexity of the generated sequences.

Item Type:Thesis
Uncontrolled Keywords:Discrepancy. -- inversive congruential generator. -- Lattice test. -- Linear complexity profile. -- Linear complexity, power generator. -- Period length. -- Pseudorandom number generator
Subjects:Q Science > QA Mathematics
ID Code:8146
Deposited By:IC-Cataloging
Deposited On:18 Apr 2008 11:08
Last Modified:25 Mar 2019 16:49

Repository Staff Only: item control page