Applied Algebra and Number Theory

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.

Look Inside

• Copyright Information Page (109 KB)
• Table of Contents (101 KB)
• Front Matter (1296 KB)
• Marketing Excerpt (152 KB)