Applied Algebra and Number Theory (Hardcover)

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 Ce?melio?lu, Wilfried Meidl and Alev Topuzo?lu; 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 = γxqh+1 ? α over Fqm Ferruh Ozbudak and Zulfukar Saygi; 18. On the linear complexity of multisequences, bijections between Zahlen and number tuples, and partitions Michael Vielhaber.