Applied Algebra and Number Theory
- Gerhard Larcher, Johannes Kepler Universität Linz
- Friedrich Pillichshammer, Johannes Kepler Universität Linz
- Arne Winterhof, Austrian Academy of Sciences, Linz
- Chaoping Xing, Nanyang Technological University, Singapore
Adobe eBook Reader
Other available formats:
Looking for an inspection copy?
This title is not currently available for inspection. However, if you are interested in the title for your course we can consider offering an inspection copy. To register your interest please contact email@example.com providing details of the course you are teaching.
Harald Niederreiter's pioneering research in the field of applied algebra and number theory has led to important and substantial breakthroughs in many areas. This collection of survey articles has been authored by close colleagues and leading experts to mark the occasion of his 70th birthday. The book provides a modern overview of different research areas, covering uniform distribution and quasi-Monte Carlo methods as well as finite fields and their applications, in particular, cryptography and pseudorandom number generation. Many results are published here for the first time. The book serves as a useful starting point for graduate students new to these areas or as a refresher for researchers wanting to follow recent trends.Read more
- Surveys modern topics in applied algebra and numerical analysis, and gives an overview of their applications
- Contains many new research results on topics such as uniform distribution, coding theory and cryptography
- Valuable resource for newcomers and experts alike
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: November 2014
- format: Adobe eBook Reader
- isbn: 9781316121641
- contains: 25 b/w illus. 5 colour illus.
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
Preface Gerhard Larcher, Friedrich Pillichshammer, Arne Winterhof and Chaoping Xing
1. Some highlights of Harald Niederreiter's work Gerhard Larcher, Friedrich Pillichshammer, Arne Winterhof and Chaoping Xing
2. Partially bent functions and their properties Ayça Çeşmelioğlu, Wilfried Meidl and Alev Topuzoğlu
3. Applications of geometric discrepancy in numerical analysis and statistics Josef Dick
4. Discrepancy bounds for low-dimensional point sets Henri Faure and Peter Kritzer
5. On the linear complexity and lattice test of nonlinear pseudorandom number generators Domingo Gómez-Pérez and Jaime Gutierrez
6. A heuristic formula estimating the keystream length for the general combination generator with respect to a correlation attack Rainer Göttfert
7. Point sets of minimal energy Peter J. Grabner
8. The cross-correlation measure for families of binary sequences Katalin Gyarmati, Christian Mauduit and András Sárközy
9. On an important family of inequalities of Niederreiter involving exponential sums Peter Hellekalek
10. Controlling the shape of generating matrices in global function field constructions of digital sequences Roswitha Hofer and Isabel Pirsic
11. Periodic structure of the exponential pseudorandom number generator Jonas Kaszián, Pieter Moree and Igor E. Shparlinski
12. Construction of a rank-1 lattice sequence based on primitive polynomials Alexander Keller, Nikolaus Binder and Carsten Wächter
13. A quasi-Monte Carlo method for the coagulation equation Christian Lécot and Ali Tarhini
14. Asymptotic formulae for partitions with bounded multiplicity Pierre Liardet and Alain Thomas
15. A trigonometric approach for Chebyshev polynomials over finite fields Juliano B. Lima, Daniel Panario and Ricardo M. Campello de Souza
16. Index bounds for value sets of polynomials over finite fields Gary L. Mullen, Daqing Wan and Qiang Wang
17. Rational points of the curve yqn − y = γxqh+1 − α over Fqm Ferruh Özbudak and Zülfükar Saygi
18. On the linear complexity of multisequences, bijections between Zahlen and number tuples, and partitions Michael Vielhaber.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×