\chapcontents {1}{About this package}{3} \seccontents {1.1}{Acknowledgements} {3} \seccontents {1.2}{Installation} {4} \seccontents {1.3}{Verbosity} {4} \seccontents {1.4}{Definitions and Objects} {4} \chapcontents {2}{AllDiffsets and OneDiffset}{6} \chapcontents {3}{A basic example}{8} \seccontents {3.1}{First Step: Integers instead of group elements} {8} \seccontents {3.2}{Signatures: An important tool} {9} \seccontents {3.3}{Change of coset vs. brute force} {10} \chapcontents {4}{General concepts}{11} \seccontents {4.1}{Introduction} {11} \seccontents {4.2}{How partial difference sets are represented} {12} \seccontents {4.3}{Basic functions for startset generation} {12} \seccontents {4.4}{Brute force methods} {16} \chapcontents {5}{Invariants for Difference Sets}{19} \seccontents {5.1}{The Coset Signature} {19} \seccontents {5.2}{An invariant for large lambda} {25} \seccontents {5.3}{Blackbox functions} {25} \chapcontents {6}{An Example Program}{28} \chapcontents {7}{Ordered Signatures}{31} \seccontents {7.1}{Ordered signatures by quotient images} {31} \seccontents {7.2}{Ordered signatures using representations} {32} \seccontents {7.3}{Definition} {33} \seccontents {7.4}{Methods for calculating ordered signatures} {33} \chapcontents {8}{Block Designs and Projective Planes}{36} \seccontents {8.1}{Isomorphisms and Collineations} {38} \seccontents {8.2}{Central Collineations} {39} \seccontents {8.3}{Collineations on Baer Subplanes} {40} \seccontents {8.4}{Invariants for Projective Planes} {41} \chapcontents {9}{Some functions for everyday use}{43} \seccontents {9.1}{Groups and actions} {43} \seccontents {9.2}{Iterators} {43} \seccontents {9.3}{Lists and Matrices} {44} \seccontents {9.4}{Cyclotomic numbers} {45} \seccontents {9.5}{Filters and Categories} {45} \chapcontents {}{Bibliography}{47} \chapcontents {}{Index}{48}