@InProceedings{roetteler:LIPIcs.TQC.2016.8, author = {Roetteler, Martin}, title = {{Quantum Algorithms for Abelian Difference Sets and Applications to Dihedral Hidden Subgroups}}, booktitle = {11th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2016)}, pages = {8:1--8:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-019-4}, ISSN = {1868-8969}, year = {2016}, volume = {61}, editor = {Broadbent, Anne}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2016.8}, URN = {urn:nbn:de:0030-drops-66896}, doi = {10.4230/LIPIcs.TQC.2016.8}, annote = {Keywords: Quantum algorithms, hidden shift problem, hidden subgroup problem, difference sets, Fourier transforms} }