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Improved bounds on the gain coefficients for digital nets in prime power base
Affiliation:1. School of Engineering, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan;2. Graduate School of Advanced Science and Engineering, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima City, Hiroshima 739-8526, Japan;1. KAIST, School of Computing, Daejeon, Republic of Korea;2. LIX, CNRS, École Polytechnique, Institute Polytechnique de Paris, France;1. Department of Mathematical and Statistical Sciences, University of Alberta Edmonton, Alberta T6G 2G1, Canada;2. Department of Mathematics, University of Manitoba, Winnipeg, MB, R3T 2N2, Canada;3. Department of Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK;4. University of South Carolina, 1523 Greene St., Columbia SC, 29208, USA;5. Moscow Center for Fundamental and Applied Mathematics, Russian Federation;6. Steklov Institute of Mathematics, Russian Federation;7. Lomonosov Moscow State University, Russian Federation;8. Centre de Recerca Matemàtica, Campus de Bellaterra, Edifici C, 08193 Bellaterra (Barcelona), Spain;9. ICREA, Pg. Lluís Companys 23, 08010 Barcelona, Spain;10. Universitat Autònoma de Barcelona, Spain;1. Computer Science Department, Facultad de Ciencias Exactas y Naturales, University of Buenos Aires, Pabellón 0+Infinito, Ciudad Universitaria (C1428), Ciudad Autónoma de Buenos Aires, Argentina;2. Departamento de Matemáticas, Estadística y Computación, Facultad de Ciencias, Universidad de Cantabria, 39071 Santander, Spain;3. Facultad de Ingeniería, University of Buenos Aires, Av. Paseo Colón 850 (C1063) Ciudad Autónoma de Buenos Aires, Argentina;4. Instituto de Ciencias, Universidad Nacional de General Sarmiento, J. M. Gutiérrez 1150 (B1613GSX) Los Polvorines, Provincia de Buenos Aires, Argentina
Abstract:
Keywords:Quasi-Monte Carlo  Scrambling  Digital net  Duality theory  Walsh functions
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