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Duals of non-weakly regular bent functions are not weakly regular and generalization to plateaued functions
Affiliation:1. Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, Dumlupınar Bulvarı No. 1, 06800, Ankara, Turkey;2. Department of Mathematics, Middle East Technical University, Dumlupınar Bulvarı No. 1, 06800, Ankara, Turkey;1. Sabancı University, MDBF, Orhanlı, Tuzla, 34956 İstanbul, Turkey;2. Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstrasse 69, 4040-Linz, Austria;1. Department of Mathematics, Yale University, New Haven, CT 06520, United States of America;2. Department of Mathematics, Towson University, Towson, MD 21252, United States of America;1. Instituto Universitario de Matemáticas y Aplicaciones de Castellón and Departamento de Matemáticas, Universitat Jaume I, Campus de Riu Sec. 12071 Castelló, Spain;2. Instituto de Matemáticas (Imuva) and Departamento de Matemática Aplicada, Universidad de Valladolid, Avda Salamanca SN, 47014 Valladolid, Spain
Abstract:
Keywords:Non-weakly regular bent functions  Duals of bent functions  Walsh transform  Value distribution  Plateaued functions
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