Edit Profile (opens in new tab) Niederreiter, Harald Compute Distance To: Compute Author ID: niederreiter.harald Published as: Niederreiter, Harald; Niederreiter, H. External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 369 Publications since 1969, including 12 Books 18 Contributions as Editor · 1 Further Contribution Reviewing Activity: 60 Reviews Biographic References: 3 Publications Co-Authors: 107 Co-Authors with 241 Joint Publications 3,003 Co-Co-Authors all top 5 Co-Authors 147 single-authored 42 Xing, Chaoping 19 Winterhof, Arne 13 Shparlinski, Igor E. 12 Eichenauer-Herrmann, Jürgen 10 Lidl, Rudolf 10 Özbudak, Ferruh 9 Mullen, Gary L. 8 Ding, Cunsheng 8 Meidl, Wilfried 7 Fu, Fangwei 7 Larcher, Gerhard 6 Göttfert, Rainer 6 Shiue, Peter Jau-Shyong 6 Wang, Liping 5 Vielhaber, Michael 4 Hofer, Roswitha 4 Kritzer, Peter 4 Kuipers, Lauwerens 4 Lam, Kwokyan 4 Pillichshammer, Friedrich 4 Sloan, Ian Hugh 4 Tichy, Robert Franz 3 Cohen, Stephen D. 3 Dick, Josef 3 Hellekalek, Peter 3 Helleseth, Tor 3 Ling, San 3 Lo, Siu Kwong 3 Peart, Paul B. 3 Pirsic, Isabel 3 Rivat, Joël 3 Robinson, Karl H. 3 Venkateswarlu, Ayineedi 3 Woźniakowski, Henryk 2 Bratley, Paul 2 Carlet, Claude 2 Chou, Wunseng 2 Evans, Ronald J. 2 Fox, Bennett Louis 2 Gnewuch, Michael 2 Gomez-Perez, Domingo 2 Hachenberger, Dirk 2 Hickernell, Fred J. 2 Horbowicz, Jozef 2 Jungnickel, Dieter 2 Kuo, Frances Y. 2 Meijer, Henk G. 2 Mérai, László 2 Ostafe, Alina 2 Panario, Daniel 2 Philipp, Walter 2 Sárközy, András 2 Schmid, Wolfgang Ch. 2 Schnorr, Claus Peter 2 Schretter, Colas 2 Sookoo, Norris 2 Su, Ming 2 Wang, Huaxiong 2 Zieve, Michael E. 1 Ahmadi, Omran 1 Allouche, Jean-Paul Simon 1 André, Debra A. 1 Ball, L. Simeon 1 Bernstein, Daniel Julius 1 Blache, Régis 1 Blake, Ian F. 1 Blokhuis, Aart 1 Borosh, Itshak 1 Castro, Francis Noel 1 Chand Gupta, Kishan 1 Charpin, Pascale 1 Chopin, Nicolas 1 Cioabă, Sebastian M. 1 Clayman, Andrew T. 1 Cohn, Paul Moritz 1 Colbourn, Charles J. 1 Coulter, Robert S. 1 de Smit, Bart 1 Ding, Jintai 1 Dinitz, Jeffrey H. 1 Doche, Christophe 1 Dumas, Jean-Guillaume 1 Ebert, Gary Lee 1 Effinger, Gove W. 1 Enge, Andreas 1 Englert, Berthold-Georg 1 Fan, Haining 1 Fang, Kai-Tai 1 Feng, Keqin 1 Fitzgerald, Robert W. 1 Flahive, Mary E. 1 Fried, Michael David 1 Fu, Lei 1 Gao, Shuhong 1 Garaev, Moubariz Z. 1 Garcia, Arnaldo 1 Gerber, Mathieu 1 Giesbrecht, Mark W. 1 Gong, Guang 1 Goss, David Mark ...and 81 more Co-Authors all top 5 Serials 26 Acta Arithmetica 22 Finite Fields and their Applications 18 Journal of Complexity 17 Mathematics of Computation 17 Monatshefte für Mathematik 11 IEEE Transactions on Information Theory 11 Applicable Algebra in Engineering, Communication and Computing 6 Journal of Computational and Applied Mathematics 5 Archiv der Mathematik 5 Designs, Codes and Cryptography 5 ACM Transactions on Modeling and Computer Simulation 4 Discrete Mathematics 4 Manuscripta Mathematica 4 Mathematical Journal of Okayama University 4 Uniform Distribution Theory 3 Journal of Number Theory 3 Publicationes Mathematicae Debrecen 3 SIAM Journal on Scientific and Statistical Computing 3 Problems of Control and Information Theory 3 Bulletin of the American Mathematical Society 3 Encyclopedia of Mathematics and Its Applications 2 Acta Scientiarum Mathematicarum 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Compositio Mathematica 2 Computing 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Caribbean Journal of Mathematics 2 Journal of the Australian Mathematical Society. Series A 2 Proceedings of the Japan Academy 2 Lecture Notes in Statistics 2 London Mathematical Society Lecture Note Series 2 Radon Series on Computational and Applied Mathematics 2 Cryptography and Communications 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Metrika 1 Periodica Mathematica Hungarica 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 ACM Transactions on Mathematical Software 1 Advances in Mathematics 1 Archivum Mathematicum 1 Ars Combinatoria 1 BIT 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Duke Mathematical Journal 1 The Fibonacci Quarterly 1 Glasgow Mathematical Journal 1 Indagationes Mathematicae 1 Information and Control 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematica Japonica 1 Mathematische Nachrichten 1 Mathematical Programming Study 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Mathematika 1 Michigan Mathematical Journal 1 Numerische Mathematik 1 Sitzungsberichte. Abteilung II. Österreichische Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 SIAM Journal on Computing 1 SIAM Journal on Numerical Analysis 1 Studia Scientiarum Mathematicarum Hungarica 1 Theoretical Computer Science 1 Bulletin of the Greek Mathematical Society 1 European Journal of Combinatorics 1 Acta Mathematica Hungarica 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Mathematical and Computer Modelling 1 SIAM Journal on Discrete Mathematics 1 Journal of Cryptology 1 Annals of Operations Research 1 Abhandlungen der Braunschweigischen Wissenschaftlichen Gesellschaft 1 Aequationes Mathematicae 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Elemente der Mathematik 1 Linear Algebra and its Applications 1 Nieuw Archief voor Wiskunde. Derde Serie 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Grazer Mathematische Berichte 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Combinatorial Designs 1 Monte Carlo Methods and Applications 1 Documenta Mathematica 1 International Journal of Quantum Information 1 Oberwolfach Reports 1 International Journal of Number Theory 1 CBMS-NSF Regional Conference Series in Applied Mathematics ...and 9 more Serials all top 5 Fields 304 Number theory (11-XX) 157 Numerical analysis (65-XX) 111 Information and communication theory, circuits (94-XX) 34 Algebraic geometry (14-XX) 27 Computer science (68-XX) 18 General and overarching topics; collections (00-XX) 18 Combinatorics (05-XX) 14 Field theory and polynomials (12-XX) 11 Approximations and expansions (41-XX) 9 Probability theory and stochastic processes (60-XX) 8 Measure and integration (28-XX) 8 Operations research, mathematical programming (90-XX) 5 Topological groups, Lie groups (22-XX) 4 General topology (54-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Abstract harmonic analysis (43-XX) 3 Statistics (62-XX) 2 Commutative algebra (13-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geometry (51-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 321 Publications have been cited 6,655 times in 4,124 Documents Cited by ▼ Year ▼ Uniform distribution of sequences. Zbl 0281.10001Kuipers, L.; Niederreiter, Harald 1,061 1974 Random number generation and quasi-Monte Carlo methods. Zbl 0761.65002Niederreiter, Harald 859 1992 Finite fields. Foreword by P. M. Cohn. Zbl 0554.12010Lidl, Rudolf; Niederreiter, Harald 327 1983 Finite fields. 2nd ed. Zbl 0866.11069Lidl, Rudolf; Niederreiter, Harald 306 1996 Finite fields. Paperback reprint of the hardback 2nd edition 1996. Zbl 1139.11053Lidl, Rudolf; Niederreiter, Harald 226 2008 Introduction to finite fields and their applications. Zbl 0629.12016Lidl, Rudolf; Niederreiter, Harald 214 1986 Introduction to finite fields and their applications. rev. ed. Zbl 0820.11072Lidl, Rudolf; Niederreiter, Harald 201 1994 Quasi-Monte Carlo methods and pseudo-random numbers. Zbl 0404.65003Niederreiter, Harald 193 1978 Point sets and sequences with small discrepancy. Zbl 0626.10045Niederreiter, Harald 193 1987 Handbook of finite fields. Zbl 1319.11001 160 2013 Low-discrepancy and low-dispersion sequences. Zbl 0651.10034Niederreiter, Harald 91 1988 Rational points on curves over finite fields. Theory and Applications. Zbl 0971.11033Niederreiter, Harald; Xing, Chaoping 80 2001 Complete mappings of finite fields. Zbl 0495.12018Niederreiter, Harald; Robinson, Karl H. 75 1982 Cyclotomic linear codes of order 3. Zbl 1323.94156Ding, Cunsheng; Niederreiter, Harald 64 2007 Knapsack-type cryptosystems and algebraic coding theory. Zbl 0611.94007Niederreiter, H. 62 1986 Low-discrepancy sequences and global function fields with many rational places. Zbl 0893.11029Niederreiter, Harald; Xing, Chaoping 53 1996 Finite fields and their applications. Zbl 0864.11063Lidl, Rudolf; Niederreiter, Harald 49 1996 Implementation and tests of low-discrepancy sequences. Zbl 0846.11044Bratley, Paul; Fox, Bennett L.; Niederreiter, Harald 48 1992 Low-discrepancy point sets obtained by digital constructions over finite fields. Zbl 0757.11024Niederreiter, Harald 48 1992 Uniform distribution of sequences. Transl. from the English. Transl. ed. by S. M. Ermakov. (Равномерное распределение последовательностей.) Zbl 0568.10001Kuipers, L.; Niederreiter, H. 45 1985 Pseudo-random numbers and optimal coefficients. Zbl 0366.65004Niederreiter, Harald 44 1977 Two-weight codes punctured from irreducible cyclic codes. Zbl 1160.94013Ding, Cunsheng; Luo, Jinquan; Niederreiter, Harald 43 2008 Linear complexity and related complexity measures for sequences. Zbl 1123.94331Niederreiter, Harald 41 2003 Finite fields. Vol. 1. 2. (Konechnye polya. Tom 1. 2). Transl. from the English by A. E. Zhukov and V. I. Petrov. Transl. ed. by V. I. Nechaev. (Konechnye polya. Tom 1, 2.) Zbl 0666.12016Lidl, Rudolf; Niederreiter, Harald 34 1988 Nonlinear methods for pseudorandom number and vector generation. Zbl 0849.11055Niederreiter, Harald 30 1992 The multiple-recursive matrix method for pseudorandom number generation. Zbl 0823.11041Niederreiter, Harald 30 1995 Recent trends in random number and random vector generation. Zbl 0737.65001Niederreiter, Harald 30 1991 The serial test for congruential pseudorandom numbers generated by inversions. Zbl 0657.65007Niederreiter, Harald 29 1989 The existence of good extensible rank-1 lattices. Zbl 1029.65004Hickernell, Fred J.; Niederreiter, Harald 28 2003 Existence of good lattice points in the sense of Hlawka. Zbl 0395.10053Niederreiter, Harald 26 1978 Algebraic geometry in coding theory and cryptography. Zbl 1185.14002Niederreiter, Harald; Xing, Chaoping 26 2009 On the distribution of inversive congruential pseudorandom numbers in parts of the period. Zbl 0983.11048Niederreiter, Harald; Shparlinski, Igor E. 25 2001 Constructions of \((t,m,s)\)-nets and \((t,s)\)-sequences. Zbl 1087.11051Niederreiter, Harald 25 2005 New developments in uniform pseudorandom number and vector generation. Zbl 0893.11030Niederreiter, Harald 24 1995 Factorization of polynomials and some linear-algebra problems over finite fields. Zbl 0845.11042Niederreiter, Harald 23 1993 Berry-Esseen bounds and a theorem of Erdős and Turan on uniform distribution mod 1. Zbl 0273.10043Niederreiter, Harald; Philipp, Walter 22 1973 Bol loops of order pq. Zbl 0463.20050Niederreiter, Harald; Robinson, Karl H. 21 1981 A combinatorial problem for vector spaces over finite fields. Zbl 0747.11063Niederreiter, Harald 21 1991 Dyadic fractions with small partial quotients. Zbl 0584.10004Niederreiter, Harald 21 1986 Dickson polynomials over finite fields and complete mappings. Zbl 0576.12020Mullen, Gary L.; Niederreiter, Harald 21 1987 On the existence of uniformly distributed sequences in compact spaces. Zbl 0239.10019Niederreiter, Harald 20 1972 Duality for digital nets and its applications. Zbl 0972.11066Niederreiter, Harald; Pirsic, Gottlieb 20 2001 Cyclotomic \(\mathcal R\)-orthomorphisms of finite fields. Zbl 1078.11068Niederreiter, Harald; Winterhof, Arne 20 2005 Recent advances in the theory of nonlinear pseudorandom number generators. Zbl 1076.65008Niederreiter, Harald; Shparlinski, Igor E. 20 2002 Orthogonal arrays and other combinatorial aspects in the theory of uniform point distributions in unit cubes. Zbl 0918.11045Niederreiter, Harald 20 1992 On the distribution and lattice structure of nonlinear congruential pseudorandom numbers. Zbl 0942.11037Niederreiter, Harald; Shparlinski, Igor E. 19 1999 A new efficient factorization algorithm for polynomials over small finite fields. Zbl 0776.11070Niederreiter, Harald 19 1993 Optimal polynomials for \((t,m,s)\)-nets and numerical integration of multivariate Walsh series. Zbl 0861.65019Larcher, G.; Lauss, A.; Niederreiter, H.; Schmid, W. Ch. 19 1996 On inversive congruential generators for pseudorandom numbers. Zbl 0790.11058Flahive, Mary; Niederreiter, Harald 19 1993 The distribution of values of Kloosterman sums. Zbl 0752.11055Niederreiter, Harald 19 1991 Discrepancy and convex programming. Zbl 0281.10027Niederreiter, Harald 18 1972 On the expected value of the linear complexity and the \(k\)-error linear complexity of periodic sequences. Zbl 1062.94031Meindl, Wilfried; Niederreiter, Harald 18 2002 The expected value of the joint linear complexity of periodic multisequences. Zbl 1026.68067Meidl, Wilfried; Niederreiter, Harald 18 2003 Statistical independence of nonlinear congruential pseudorandom numbers. Zbl 0652.65007Niederreiter, Harald 18 1988 Lower bounds for the discrepancy of inversive congruential pseudorandom numbers. Zbl 0708.65006Niederreiter, Harald 18 1990 Diskrepanz und Distanz von Maßen bezüglich konvexer und Jordanscher Mengen. (Discrepancy and distance of measures with respect to convex and Jordan sets). Zbl 0295.28028Niederreiter, Harald; Wills, Jörg M. 17 1975 Linear complexity profiles: Hausdorff dimensions for almost perfect profiles and measures for general profiles. Zbl 0934.94013Niederreiter, Harald; Vielhaber, Michael 17 1997 Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number generators. Zbl 0969.11040Niederreiter, Harald; Winterhof, Arne 17 2000 Digital nets and sequences constructed over finite rings and their application to quasi-Monte Carlo integration. Zbl 0876.11042Larcher, Gerhard; Niederreiter, Harald; Schmid, Wolfgang Ch. 17 1996 Quasirandom points and global function fields. Zbl 0932.11050Niederreiter, Harald; Xing, Chaoping 17 1996 On the discrepancy of quadratic congruential pseudorandom numbers. Zbl 0731.11046Eichenauer-Herrmann, Jürgen; Niederreiter, Harald 17 1991 Applied number theory. Zbl 1328.11001Niederreiter, Harald; Winterhof, Arne 16 2015 Linear complexity, \(k\)-error linear complexity, and the discrete Fourier transform. Zbl 1004.68066Meidl, Wilfried; Niederreiter, Harald 16 2002 Finite fields, pseudorandom numbers, and quasirandom points. Zbl 0792.11053Niederreiter, Harald 16 1993 Remarks on nonlinear congruential pseudorandom numbers. Zbl 0663.65005Niederreiter, H. 16 1988 On the algebraic structure of quasi-cyclic codes. IV: Repeated roots. Zbl 1172.94636Ling, San; Niederreiter, Harald; Solé, Patrick 16 2006 Optimal multipliers for pseudo-random number generation by the linear congruential method. Zbl 0505.65001Borosh, Itshak; Niederreiter, Harald 15 1983 Application of diophantine approximations to numerical integration. Zbl 0268.65014Niederreiter, Harald 15 1973 Nets, \((t,s)\)-sequences, and algebraic geometry. Zbl 0923.11113Niederreiter, Harald; Xing, Chaoping 15 1998 Dynamical systems generated by rational functions. Zbl 1030.11072Niederreiter, Harald; Shparlinski, Igor E. 15 2003 A construction of low-discrepancy sequences using global function fields. Zbl 0848.11038Xing, Chaoping; Niederreiter, Harald 15 1995 Some computable complexity measures for binary sequences. Zbl 1049.94013Niederreiter, Harald 14 1999 Lower bounds for the discrepancy of inversive congruential pseudorandom numbers with power of two modulus. Zbl 0762.65001Eichenauer-Herrmann, Jürgen; Niederreiter, Harald 14 1992 On the lattice structure of a nonlinear generator with modulus \(2^{\alpha}\). Zbl 0702.65006Eichenauer-Herrmann, Jürgen; Grothe, Holger; Niederreiter, Harald; Topuzoǧlu, Alev 14 1990 A pseudorandom vector generator based on finite field arithmetic. Zbl 0619.65002Niederreiter, Harald 14 1986 The distribution of Farey points. Zbl 0248.10013Niederreiter, Harald 13 1973 Linearized polynomials and permutation polynomials of finite fields. Zbl 0777.11052Evans, Ronald J.; Greene, John; Niederreiter, Harald 13 1992 Generalized \((t,s)\)-sequences, Kronecker-type sequences, and diophantine approximations of formal Laurent series. Zbl 0829.11039Larcher, Gerhard; Niederreiter, Harald 13 1995 On the discrepancy of some hybrid sequences. Zbl 1268.11102Niederreiter, Harald 13 2009 Exponential sums for nonlinear recurring sequences. Zbl 1231.11096Niederreiter, Harald; Winterhof, Arne 13 2008 On the distribution of pseudorandom numbers and vectors generated by inversive methods. Zbl 0999.11040Niederreiter, Harald; Shparlinski, Igor E. 12 2000 Lattice structure and linear complexity of nonlinear pseudorandom numbers. Zbl 1033.11038Niederreiter, Harald; Winterhof, Arne 12 2002 Weights of cyclic codes. Zbl 0357.94008Niederreiter, Harald 12 1977 The expectation and variance of the joint linear complexity of random periodic multisequences. Zbl 1092.94022Fu, Fang-Wei; Niederreiter, Harald; Su, Ming 12 2005 The existence of good extensible polynomial lattice rules. Zbl 1038.11048Niederreiter, Harald 12 2003 Pseudorandom vector generation by the inversive method. Zbl 0847.11039Niederreiter, Harald 12 1994 Low-discrepancy point sets. Zbl 0584.10034Niederreiter, Harald 12 1986 Systematic authentication codes from highly nonlinear functions. Zbl 1192.94117Ding, Cunsheng; Niederreiter, Harald 12 2004 Error linear complexity measures for multisequences. Zbl 1128.94007Meidl, Wilfried; Niederreiter, Harald; Venkateswarlu, Ayineedi 12 2007 On the distribution of pseudo-random numbers generated by the linear congruential method. III. Zbl 0342.65002Niederreiter, Harald 11 1976 On the distribution of pseudo-random numbers generated by the linear congruential method. II. Zbl 0303.65003Niederreiter, Harald 11 1974 On a new class of pseudorandom numbers for simulation methods. Zbl 0823.65010Niederreiter, Harald 11 1994 Hasse-Teichmüller derivatives and products of linear recurring sequences. Zbl 0808.11072Göttfert, Rainer; Niederreiter, Harald 11 1994 Quasi-Monte Carlo methods for global optimization. Zbl 0603.65043Niederreiter, Harald 11 1985 Distribution properties of feedback shift register sequences. Zbl 0607.94012Niederreiter, H. 11 1986 Pseudozufallszahlen und die Theorie der Gleichverteilung. (Pseudo-random numbers and the theory of uniform distribution). Zbl 0616.10040Niederreiter, Harald 11 1986 Beiträge zur Diskrepanz bezüglich gewichteter Mittel. (Contributions to the discrepancy with respect to weighted means). Zbl 0498.10030Niederreiter, Harald; Tichy, Robert F. 10 1983 Towers of global function fields with asymptotically many rational places and an improvement on the Gilbert-Varshamov bound. Zbl 0920.11039Niederreiter, Harald; Xing, Chaoping 10 1998 Expansion complexity and linear complexity of sequences over finite fields. Zbl 1409.94855Mérai, László; Niederreiter, Harald; Winterhof, Arne 10 2017 Pseudorandom numbers and quasirandom points. Zbl 0796.11028Niederreiter, H. 10 1993 Perfect linear complexity profile and apwenian sequences. Zbl 1464.11077Allouche, Jean-Paul; Han, Guo-Niu; Niederreiter, Harald 3 2020 On the expansion complexity of sequences over finite fields. Zbl 1395.94262Gómez-Pérez, Domingo; Mérai, László; Niederreiter, Harald 3 2018 Expansion complexity and linear complexity of sequences over finite fields. Zbl 1409.94855Mérai, László; Niederreiter, Harald; Winterhof, Arne 10 2017 Van der Corput and Golden ratio sequences along the Hilbert space-filling curve. Zbl 1356.65086Schretter, Colas; He, Zhijian; Gerber, Mathieu; Chopin, Nicolas; Niederreiter, Harald 2 2016 Multisequences with high joint nonlinear complexity. Zbl 1405.94037Meidl, Wilfried; Niederreiter, Harald 1 2016 Applied number theory. Zbl 1328.11001Niederreiter, Harald; Winterhof, Arne 16 2015 Propagation rules for \((u, m, \mathbf{e}, s)\)-nets and \((u, \mathbf{e}, s)\)-sequences. Zbl 1387.11065Kritzer, Peter; Niederreiter, Harald 3 2015 Sequences with high nonlinear complexity. Zbl 1360.94284Niederreiter, Harald; Xing, Chaoping 7 2014 Vandermonde nets. Zbl 1304.11072Hofer, Roswitha; Niederreiter, Harald 4 2014 Uniform distribution and quasi-Monte Carlo methods. Discrepancy, integration and applications. Based on invited talks of the workspop, Linz, Austria, October 14–18, 2013. Zbl 1291.11003 4 2014 Handbook of finite fields. Zbl 1319.11001 160 2013 A construction of \((t,s)\)-sequences with finite-row generating matrices using global function fields. Zbl 1282.11097Hofer, Roswitha; Niederreiter, Harald 9 2013 Halton-type sequences from global function fields. Zbl 1284.11107Niederreiter, Harald; Yeo, Anderson Siangjing 5 2013 A general discrepancy bound for hybrid sequences involving Halton sequences. Zbl 1349.11112Gómez-Pérez, Domingo; Hofer, Roswitha; Niederreiter, Harald 3 2013 A direct inversion method for non-uniform quasi-random point sequences. Zbl 1271.11081Schretter, Colas; Niederreiter, Harald 3 2013 Finite fields and quasirandom points. Zbl 1304.11078Niederreiter, Harald 2 2013 Improved discrepancy bounds for hybrid sequences involving Halton sequences. Zbl 1270.11078Niederreiter, Harald 4 2012 Low-discrepancy simulation. Zbl 1229.91344Niederreiter, Harald 1 2012 Improved results on the probabilistic theory of the joint linear complexity of multisequences. Zbl 1245.94082Niederreiter, Harald; Vielhaber, Michael; Wang, Liping 1 2012 Constructions of uniformly distributed sequences using the \(b\)-adic method. Zbl 1333.11071Hellekalek, Peter; Niederreiter, Harald 7 2011 Discrepancy bounds for hybrid sequences involving digital explicit inversive pseudorandom numbers. Zbl 1338.11074Niederreiter, Harald; Winterhof, Arne 5 2011 Discrepancy bounds for hybrid sequences involving matrix-method pseudorandom vectors. Zbl 1249.11075Niederreiter, Harald 5 2011 Further discrepancy bounds and an Erdös-Turán-Koksma inequality for hybrid sequences. Zbl 1273.11117Niederreiter, Harald 8 2010 A discrepancy bound for hybrid sequences involving digital explicit inversive pseudorandom numbers. Zbl 1249.11074Niederreiter, Harald 5 2010 Improved results on periodic multisequences with large error linear complexity. Zbl 1205.94070Venkateswarlu, Ayineedi; Niederreiter, Harald 2 2010 Algebraic geometry in coding theory and cryptography. Zbl 1185.14002Niederreiter, Harald; Xing, Chaoping 26 2009 On the discrepancy of some hybrid sequences. Zbl 1268.11102Niederreiter, Harald 13 2009 Construction algorithms for good extensible lattice rules. Zbl 1247.11100Niederreiter, Harald; Pillichshammer, Friedrich 5 2009 Joint linear complexity of multisequences consisting of linear recurring sequences. Zbl 1178.94176Fu, Fang-Wei; Niederreiter, Harald; Özbudak, Ferruh 4 2009 Joint linear complexity of arbitrary multisequences consisting of linear recurring sequences. Zbl 1183.94015Fu, Fang-Wei; Niederreiter, Harald; Özbudak, Ferruh 3 2009 On the Gowers norm of pseudorandom binary sequences. Zbl 1238.11077Niederreiter, Harald; Rivat, Joël 2 2009 Duality for digital sequences. Zbl 1181.11049Dick, Josef; Niederreiter, Harald 1 2009 Finite fields. Paperback reprint of the hardback 2nd edition 1996. Zbl 1139.11053Lidl, Rudolf; Niederreiter, Harald 226 2008 Two-weight codes punctured from irreducible cyclic codes. Zbl 1160.94013Ding, Cunsheng; Luo, Jinquan; Niederreiter, Harald 43 2008 Exponential sums for nonlinear recurring sequences. Zbl 1231.11096Niederreiter, Harald; Winterhof, Arne 13 2008 On the exact \(t\)-value of Niederreiter and Sobol’ sequences. Zbl 1156.11031Dick, Josef; Niederreiter, Harald 7 2008 On the correlation of pseudorandom numbers generated by inversive methods. Zbl 1137.11051Niederreiter, Harald; Rivat, Joël 7 2008 Nets, \((t,s)\)-sequences, and codes. Zbl 1196.11110Niederreiter, Harald 6 2008 Periodic multisequences with large error linear complexity. Zbl 1179.94056Niederreiter, Harald; Venkateswarlu, Ayineedi 6 2008 Successive minima profile, lattice profile, and joint linear complexity profile of pseudorandom multisequences. Zbl 1151.65007Wang, Li-Ping; Niederreiter, Harald 3 2008 On the joint linear complexity of linear recurring multisequences. Zbl 1160.94007Fu, Fang-Wei; Niederreiter, Harald; Özbudak, Ferruh 2 2008 Pseudorandom sequences of binary vectors. Zbl 1239.11086Niederreiter, Harald; Rivat, Joël; Sárközy, András 2 2008 Monte Carlo and quasi-Monte Carlo methods 2006. Selected papers based on the presentations at the 7th international conference ‘Monte Carlo and quasi-Monte Carlo methods in scientific computing’, Ulm, Germany, August 14–18, 2006. Zbl 1130.65003 1 2008 Cyclotomic linear codes of order 3. Zbl 1323.94156Ding, Cunsheng; Niederreiter, Harald 64 2007 Error linear complexity measures for multisequences. Zbl 1128.94007Meidl, Wilfried; Niederreiter, Harald; Venkateswarlu, Ayineedi 12 2007 The asymptotic behavior of the joint linear complexity profile of multisequences. Zbl 1121.94018Niederreiter, Harald; Wang, Li-Ping 9 2007 Low-discrepancy sequences using duality and global function fields. Zbl 1131.11050Niederreiter, Harald; Özbudak, Ferruh 7 2007 On the structure of inversive pseudorandom number generators. Zbl 1143.11340Niederreiter, Harald; Winterhof, Arne 5 2007 On the counting function of the lattice profile of periodic sequences. Zbl 1132.94004Fu, Fang-Wei; Niederreiter, Harald 3 2007 Improved asymptotic bounds for codes using distinguished divisors of global function fields. Zbl 1155.94024Niederreiter, Harald; Özbudak, Ferruh 3 2007 On pseudorandom \([0,1)\) and binary sequences. Zbl 1164.11032Mauduit, Christian; Niederreiter, Harald; Sárközy, András 2 2007 Further improvements on asymptotic bounds for codes using distinguished divisors. Zbl 1124.94017Niederreiter, Harald; Özbudak, Ferruh 1 2007 A new construction of \((t,s)\)-sequences and some improved bounds on their quality parameter. Zbl 1207.11079Mayor, David J. S.; Niederreiter, Harald 1 2007 On the algebraic structure of quasi-cyclic codes. IV: Repeated roots. Zbl 1172.94636Ling, San; Niederreiter, Harald; Solé, Patrick 16 2006 Enumeration results on the joint linear complexity of multisequences. Zbl 1156.94328Wang, Li-Ping; Niederreiter, Harald 10 2006 The characterization of \(2^{n}\)-periodic binary sequences with fixed 1-error linear complexity. Zbl 1152.94381Fu, Fang-Wei; Niederreiter, Harald; Su, Ming 9 2006 Authentication schemes from highly nonlinear functions. Zbl 1192.94113Carlet, Claude; Ding, Cunsheng; Niederreiter, Harald 9 2006 The probabilistic theory of the joint linear complexity of multisequences. Zbl 1152.94392Niederreiter, Harald 7 2006 Monte Carlo and quasi-Monte Carlo methods 2004. Refereed proceedings of the sixth international conference on Monte Carlo and quasi-Monte Carlo methods in scientific computation, Juan-les-Pins, France, June 7–10, 2004. Zbl 1084.65005 4 2006 Weighted star discrepancy of digital nets in prime bases. Zbl 1096.11025Dick, Josef; Niederreiter, Harald; Pillichshammer, Friedrich 4 2006 Constructions of \((t,m,s)\)-nets and \((t,s)\)-sequences. Zbl 1087.11051Niederreiter, Harald 25 2005 Cyclotomic \(\mathcal R\)-orthomorphisms of finite fields. Zbl 1078.11068Niederreiter, Harald; Winterhof, Arne 20 2005 The expectation and variance of the joint linear complexity of random periodic multisequences. Zbl 1092.94022Fu, Fang-Wei; Niederreiter, Harald; Su, Ming 12 2005 Proof of a conjecture on the joint linear complexity profile of multisequences. Zbl 1153.94338Niederreiter, Harald; Wang, Li-Ping 8 2005 Exponential sums and the distribution of inversive congruential pseudorandom numbers with power of two modulus. Zbl 1084.11042Niederreiter, Harald; Winterhof, Arne 7 2005 On the distribution of some new explicit nonlinear congruential pseudorandom numbers. Zbl 1145.11319Niederreiter, Harald; Winterhof, Arne 3 2005 Systematic authentication codes from highly nonlinear functions. Zbl 1192.94117Ding, Cunsheng; Niederreiter, Harald 12 2004 Multiplicative character sums for nonlinear recurring sequences. Zbl 1046.11088Niederreiter, Harald; Winterhof, Arne 9 2004 Digital nets and coding theory. Zbl 1065.11057Niederreiter, Harald 7 2004 Matrix-product constructions of digital nets. Zbl 1047.11075Niederreiter, Harald; Özbudak, Ferruh 6 2004 Constructive asymptotic codes with an improvement on the Tsfasman-Vlăduţ-Zink and Xing bounds. Zbl 1072.94017Niederreiter, Harald; Özbudak, Ferruh 2 2004 Digital nets, duality, and algebraic curves. Zbl 1045.11056Xing, Chaoping; Niederreiter, Harald 1 2004 High-dimensional numerical integration. Zbl 1139.65004Niederreiter, Harald 1 2004 Linear complexity and related complexity measures for sequences. Zbl 1123.94331Niederreiter, Harald 41 2003 The existence of good extensible rank-1 lattices. Zbl 1029.65004Hickernell, Fred J.; Niederreiter, Harald 28 2003 The expected value of the joint linear complexity of periodic multisequences. Zbl 1026.68067Meidl, Wilfried; Niederreiter, Harald 18 2003 Dynamical systems generated by rational functions. Zbl 1030.11072Niederreiter, Harald; Shparlinski, Igor E. 15 2003 The existence of good extensible polynomial lattice rules. Zbl 1038.11048Niederreiter, Harald 12 2003 Error bounds for quasi-Monte Carlo integration with uniform point sets. Zbl 1022.65003Niederreiter, Harald 9 2003 Periodic sequences with large \(k\)-error linear complexity. Zbl 1063.94067Niederreiter, Harald 8 2003 Periodic sequences with maximal linear complexity and large \(k\)-error linear complexity. Zbl 1043.94007Meidl, Wilfried; Niederreiter, Harald 6 2003 On the distribution of power residues and primitive elements in some nonlinear recurring sequences. Zbl 1055.11010Niederreiter, Harald; Shparlinski, Igor E. 4 2003 Some current issues in quasi-Monte Carlo methods. Zbl 1024.65004Niederreiter, Harald 4 2003 Periodic sequences with maximal linear complexity and almost maximal \(k\)-error linear complexity. Zbl 1123.94332Niederreiter, Harald; Shparlinski, Igor E. 4 2003 Recent advances in the theory of nonlinear pseudorandom number generators. Zbl 1076.65008Niederreiter, Harald; Shparlinski, Igor E. 20 2002 On the expected value of the linear complexity and the \(k\)-error linear complexity of periodic sequences. Zbl 1062.94031Meindl, Wilfried; Niederreiter, Harald 18 2002 Linear complexity, \(k\)-error linear complexity, and the discrete Fourier transform. Zbl 1004.68066Meidl, Wilfried; Niederreiter, Harald 16 2002 Lattice structure and linear complexity of nonlinear pseudorandom numbers. Zbl 1033.11038Niederreiter, Harald; Winterhof, Arne 12 2002 On the average distribution of inversive pseudorandom numbers. Zbl 1027.11054Niederreiter, Harald; Shparlinski, Igor E. 8 2002 Counting functions and expected values for the \(k\)-error linear complexity. Zbl 1008.94016Meidl, Wilfried; Niederreiter, Harald 8 2002 A Kronecker product construction for digital nets. Zbl 1012.11066Niederreiter, Harald; Pirsic, Gottlieb 6 2002 Constructions of digital nets. Zbl 0988.11032Niederreiter, Harald; Xing, Chaoping 6 2002 Incomplete character sums and polynomial interpolation of the discrete logarithm. Zbl 1017.11065Niederreiter, Harald; Winterhof, Arne 5 2002 Constructions of digital nets using global function fields. Zbl 1022.11038Niederreiter, Harald; Özbudak, Ferruh 5 2002 The minimum distance of the duals of binary irreducible cyclic codes. Zbl 1062.94053Ding, Cunsheng; Helleseth, Tor; Niederreiter, Harald; Xing, Chaoping 4 2002 Monte Carlo and quasi-Monte Carlo methods 2000. Proceedings of a conference, held at Hong Kong Baptist Univ., Hong Kong SAR, China, November 27 – December 1, 2000. Zbl 0980.00040 3 2002 Monomials and binomials over finite fields as \(\mathcal R\)-orthomorphisms. Zbl 1012.11104Chou, Wun-Seng; Niederreiter, Harald 3 2002 Rational points on curves over finite fields. Theory and Applications. Zbl 0971.11033Niederreiter, Harald; Xing, Chaoping 80 2001 On the distribution of inversive congruential pseudorandom numbers in parts of the period. Zbl 0983.11048Niederreiter, Harald; Shparlinski, Igor E. 25 2001 Duality for digital nets and its applications. Zbl 0972.11066Niederreiter, Harald; Pirsic, Gottlieb 20 2001 ...and 221 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,344 Authors 117 Niederreiter, Harald 97 Shparlinski, Igor E. 73 Pillichshammer, Friedrich 62 Dick, Josef 55 Tichy, Robert Franz 49 Winterhof, Arne 48 Larcher, Gerhard 37 Kritzer, Peter 32 Özbudak, Ferruh 32 Zeng, Xiangyong 31 Eichenauer-Herrmann, Jürgen 30 Sloan, Ian Hugh 27 Meidl, Wilfried 26 Hickernell, Fred J. 24 Cao, Xiwang 24 Mullen, Gary L. 23 Yue, Qin 22 L’Ecuyer, Pierre 22 Wang, Xiaoqun 21 Aistleitner, Christoph 21 Goda, Takashi 20 Wang, Qiang (Steven) 18 Hofer, Roswitha 18 Kuo, Frances Y. 18 Steinerberger, Stefan 17 Drmota, Michael 17 Laurinčikas, Antanas 17 Owen, Art B. 16 Cohen, Stephen D. 16 Faure, Henri 16 Gomez-Perez, Domingo 16 Hinrichs, Aicke 16 Hu, Lei 16 Lécot, Christian 16 Panario, Daniel 15 Cools, Ronald 15 Mérai, László 15 Reis, Lucas 15 Strauch, Oto 15 Woźniakowski, Henryk 14 Chen, Zhixiong 14 Li, Chengju 14 Nuyens, Dirk 14 Schatte, Peter 13 Fang, Kai-Tai 13 Fu, Fangwei 13 Fúster-Sabater, Amparo 13 Helleseth, Tor 13 Lin, Dongdai 13 Liu, Hongwei 13 Ostafe, Alina 13 Qi, Wenfeng 13 Schmid, Wolfgang Ch. 13 Suzuki, Kosuke 13 Xing, Chaoping 12 Becher, Verónica 12 Berend, Daniel 12 Gnewuch, Michael 12 Li, Nian 12 Mauduit, Christian 12 Ökten, Giray 12 Yang, Shudi 12 Yoshiki, Takehito 11 Bergelson, Vitaly 11 Ding, Cunsheng 11 Hellekalek, Peter 11 Levin, Mordekhaĭ Borisovich 11 Luo, Gaojun 11 Topuzoǧlu, Alev 10 Anbar, Nurdagül 10 Bartoli, Daniele 10 Grabner, Peter J. 10 He, Zhijian 10 Koh, Doowon 10 Kritzinger, Ralph 10 Lemieux, Christiane 10 Ling, San 10 Nowak, Werner Georg 10 Pausinger, Florian 10 Saygı, Zülfükar 10 Venkateswarlu, Ayineedi 10 Wasilkowski, Grzegorz W. 10 Weiß, Christian 10 Zheng, Dabin 9 Banks, William David 9 Berger, Arno 9 Chen, Bocong 9 Dinh, Hai Quang 9 Gallardo, Luis Henri 9 Gol’tvanitsa, M. A. 9 Gong, Guang 9 Losert, Viktor 9 Luca, Florian 9 McGuire, Gary 9 Proinov, Petko D. 9 Qu, Longjiang 9 Sárközy, András 9 Tang, Chunming 9 Wan, Daqing 9 Yuan, Pingzhi ...and 4,244 more Authors all top 5 Cited in 523 Serials 252 Finite Fields and their Applications 245 Designs, Codes and Cryptography 152 Mathematics of Computation 141 Journal of Complexity 118 Monatshefte für Mathematik 111 Journal of Number Theory 96 Cryptography and Communications 91 Applicable Algebra in Engineering, Communication and Computing 83 Journal of Computational and Applied Mathematics 74 Discrete Mathematics 58 Proceedings of the American Mathematical Society 46 Archiv der Mathematik 45 Israel Journal of Mathematics 44 Transactions of the American Mathematical Society 43 Mathematics and Computers in Simulation 40 Discrete Applied Mathematics 36 Theoretical Computer Science 35 Journal de Théorie des Nombres de Bordeaux 33 Acta Arithmetica 30 Mathematical Notes 28 Advances in Mathematics of Communications 27 Journal of Mathematical Analysis and Applications 27 Computing 26 Linear Algebra and its Applications 24 Proceedings of the Japan Academy. Series A 24 Matematicheskie Voprosy Kriptografii 22 Computers & Mathematics with Applications 22 Journal of Computational Physics 22 Journal of Combinatorial Theory. Series A 22 Manuscripta Mathematica 22 Numerische Mathematik 22 International Journal of Number Theory 21 Indagationes Mathematicae. New Series 20 Information Processing Letters 20 Journal d’Analyse Mathématique 20 Applied Mathematics and Computation 20 Journal of Algebra 20 Mathematica Slovaca 19 Periodica Mathematica Hungarica 18 Bulletin of the Australian Mathematical Society 18 Advances in Mathematics 18 Mathematische Nachrichten 18 Monte Carlo Methods and Applications 18 Journal of Applied Mathematics and Computing 17 Annali di Matematica Pura ed Applicata. Serie Quarta 17 Mathematische Zeitschrift 16 Annales de l’Institut Fourier 16 The Annals of Statistics 16 Acta Mathematica Hungarica 16 Mathematical and Computer Modelling 16 The Ramanujan Journal 16 Science China. Mathematics 16 Statistics and Computing 15 Computer Physics Communications 15 Problems of Information Transmission 15 Journal of Approximation Theory 15 Journal of Pure and Applied Algebra 15 Prikladnaya Diskretnaya Matematika 14 Mathematika 14 Discrete Mathematics and Applications 14 Journal of Algebraic Combinatorics 14 Journal of Mathematical Sciences (New York) 13 European Journal of Combinatorics 13 Acta Applicandae Mathematicae 12 Rocky Mountain Journal of Mathematics 12 Czechoslovak Mathematical Journal 12 Journal of Functional Analysis 12 Quantum Information Processing 12 Journal of Algebra and its Applications 12 Uniform Distribution Theory 12 SIAM/ASA Journal on Uncertainty Quantification 11 Communications in Algebra 11 Lithuanian Mathematical Journal 11 Compositio Mathematica 11 Statistics & Probability Letters 11 European Journal of Operational Research 11 SIAM Journal on Scientific Computing 10 Functiones et Approximatio. Commentarii Mathematici 10 Journal of Optimization Theory and Applications 10 Journal of Statistical Planning and Inference 10 Journal of Symbolic Computation 10 Constructive Approximation 10 SIAM Journal on Discrete Mathematics 10 International Journal of Computer Mathematics 10 Computational Statistics and Data Analysis 10 The Electronic Journal of Combinatorics 10 Journal of Discrete Mathematical Sciences & Cryptography 10 Acta Mathematica Sinica. English Series 10 Foundations of Computational Mathematics 10 Proceedings of the Steklov Institute of Mathematics 9 Communications in Mathematical Physics 9 Automatica 9 Mathematische Annalen 9 SIAM Journal on Numerical Analysis 9 Journal of Cryptology 9 Annals of Operations Research 9 Journal of Statistical Computation and Simulation 9 Computational Optimization and Applications 9 The Journal of Fourier Analysis and Applications 9 Chebyshevskiĭ Sbornik ...and 423 more Serials all top 5 Cited in 59 Fields 2,301 Number theory (11-XX) 924 Information and communication theory, circuits (94-XX) 880 Numerical analysis (65-XX) 333 Combinatorics (05-XX) 285 Computer science (68-XX) 230 Probability theory and stochastic processes (60-XX) 214 Statistics (62-XX) 177 Dynamical systems and ergodic theory (37-XX) 165 Field theory and polynomials (12-XX) 156 Algebraic geometry (14-XX) 148 Approximations and expansions (41-XX) 125 Operations research, mathematical programming (90-XX) 118 Measure and integration (28-XX) 98 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 95 Group theory and generalizations (20-XX) 89 Harmonic analysis on Euclidean spaces (42-XX) 82 Linear and multilinear algebra; matrix theory (15-XX) 69 Geometry (51-XX) 69 Quantum theory (81-XX) 67 Partial differential equations (35-XX) 62 Commutative algebra (13-XX) 53 Functional analysis (46-XX) 46 Convex and discrete geometry (52-XX) 40 Order, lattices, ordered algebraic structures (06-XX) 40 Systems theory; control (93-XX) 37 Abstract harmonic analysis (43-XX) 33 Operator theory (47-XX) 31 Statistical mechanics, structure of matter (82-XX) 30 Associative rings and algebras (16-XX) 29 Sequences, series, summability (40-XX) 28 Topological groups, Lie groups (22-XX) 24 Real functions (26-XX) 24 Functions of a complex variable (30-XX) 24 General topology (54-XX) 22 Mathematical logic and foundations (03-XX) 22 Biology and other natural sciences (92-XX) 20 Fluid mechanics (76-XX) 19 Special functions (33-XX) 19 Mechanics of deformable solids (74-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Difference and functional equations (39-XX) 14 Ordinary differential equations (34-XX) 14 Integral equations (45-XX) 12 Potential theory (31-XX) 12 Geophysics (86-XX) 11 Nonassociative rings and algebras (17-XX) 6 Integral transforms, operational calculus (44-XX) 6 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Optics, electromagnetic theory (78-XX) 5 General and overarching topics; collections (00-XX) 4 General algebraic systems (08-XX) 4 Category theory; homological algebra (18-XX) 4 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Manifolds and cell complexes (57-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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