Applied Algebra and Number Theory

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 Ayca Cesmelioglu, Wilfried Meidl and Alev Topuzoglu 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 Gomez-Perez and Jaime Gutierrez 6. A heuristic formula estimating the keystream length for the general combination generator with respect to a correlation attack Rainer Gottfert 7. Point sets of minimal energy Peter J. Grabner 8. The cross-correlation measure for families of binary sequences Katalin Gyarmati, Christian Mauduit and Andras Sarkozy 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 Kaszian, Pieter Moree and Igor E. Shparlinski 12. Construction of a rank-1 lattice sequence based on primitive polynomials Alexander Keller, Nikolaus Binder and Carsten Wachter 13. A quasi-Monte Carlo method for the coagulation equation Christian Lecot 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 = gammaxqh+1 - alpha over Fqm Ferruh Ozbudak and Zulfukar Saygi 18. On the linear complexity of multisequences, bijections between Zahlen and number tuples, and partitions Michael Vielhaber.