Book contents
- Frontmatter
- Contents
- Preface
- 1 Some highlights of Harald Niederreiter's work
- 2 Partially bent functions and their properties
- 3 Applications of geometric discrepancy in numerical analysis and statistics
- 4 Discrepancy bounds for low-dimensional point sets
- 5 On the linear complexity and lattice test of nonlinear pseudorandom number generators
- 6 A heuristic formula estimating the keystream length for the general combination generator with respect to a correlation attack
- 7 Point sets of minimal energy
- 8 The cross-correlation measure for families of binary sequences
- 9 On an important family of inequalities of Niederreiter involving exponential sums
- 10 Controlling the shape of generating matrices in global function field constructions of digital sequences
- 11 Periodic structure of the exponential pseudorandom number generator
- 12 Construction of a rank-1 lattice sequence based on primitive polynomials
- 13 A quasi-Monte Carlo method for the coagulation equation
- 14 Asymptotic formulas for partitions with bounded multiplicity
- 15 A trigonometric approach for Chebyshev polynomials over finite fields
- 16 Index bounds for value sets of polynomials over finite fields
- 17 Rational points of the curve over
- 18 On the linear complexity of multisequences, bijections between ℤahlen and ℕumber tuples, and partitions
- Plate section
Preface
Published online by Cambridge University Press: 18 December 2014
- Frontmatter
- Contents
- Preface
- 1 Some highlights of Harald Niederreiter's work
- 2 Partially bent functions and their properties
- 3 Applications of geometric discrepancy in numerical analysis and statistics
- 4 Discrepancy bounds for low-dimensional point sets
- 5 On the linear complexity and lattice test of nonlinear pseudorandom number generators
- 6 A heuristic formula estimating the keystream length for the general combination generator with respect to a correlation attack
- 7 Point sets of minimal energy
- 8 The cross-correlation measure for families of binary sequences
- 9 On an important family of inequalities of Niederreiter involving exponential sums
- 10 Controlling the shape of generating matrices in global function field constructions of digital sequences
- 11 Periodic structure of the exponential pseudorandom number generator
- 12 Construction of a rank-1 lattice sequence based on primitive polynomials
- 13 A quasi-Monte Carlo method for the coagulation equation
- 14 Asymptotic formulas for partitions with bounded multiplicity
- 15 A trigonometric approach for Chebyshev polynomials over finite fields
- 16 Index bounds for value sets of polynomials over finite fields
- 17 Rational points of the curve over
- 18 On the linear complexity of multisequences, bijections between ℤahlen and ℕumber tuples, and partitions
- Plate section
Summary
Harald Niederreiter's pioneering research in the field of applied algebra and number theory has led to important and substantial breakthroughs in many areas, including finite fields and areas of their application such as coding theory and cryptography as well as uniform distribution and quasi-Monte Carlo methods. He is the author of more than 350 research papers and 10 books.
This book contains essays from close colleagues and leading experts in those fields in which he has worked. The essays contain short overviews of different research areas as well as some very new research results.
The articles focus on uniform distribution and quasi-Monte Carlo methods as well as finite fields and their applications, in particular cryptography and pseudorandom number generation.
The first chapter gives an overview of Harald's career and describes some scientific spotlights.
- Type
- Chapter
- Information
- Applied Algebra and Number Theory , pp. xi - xiiPublisher: Cambridge University PressPrint publication year: 2014