manual.toc

\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}{12}
\seccontents {4.1}{Introduction} {12}
\seccontents {4.2}{How partial difference sets are represented} {13}
\seccontents {4.3}{Basic functions for startset generation} {13}
\seccontents {4.4}{Brute force methods} {17}
\chapcontents {5}{Invariants for Difference Sets}{20}
\seccontents {5.1}{The Coset Signature} {20}
\seccontents {5.2}{An invariant for large lambda} {26}
\seccontents {5.3}{Blackbox functions} {26}
\chapcontents {6}{An Example Program}{29}
\chapcontents {7}{Ordered Signatures}{32}
\seccontents {7.1}{Ordered signatures by quotient images} {32}
\seccontents {7.2}{Ordered signatures using representations} {33}
\seccontents {7.3}{Definition} {34}
\seccontents {7.4}{Methods for calculating ordered signatures} {34}
\chapcontents {8}{Block Designs and Projective Planes}{37}
\seccontents {8.1}{Isomorphisms and Collineations} {39}
\seccontents {8.2}{Central Collineations} {40}
\seccontents {8.3}{Collineations on Baer Subplanes} {41}
\seccontents {8.4}{Invariants for Projective Planes} {42}
\chapcontents {9}{Some functions for everyday use}{44}
\seccontents {9.1}{Groups and actions} {44}
\seccontents {9.2}{Iterators} {44}
\seccontents {9.3}{Lists and Matrices} {45}
\seccontents {9.4}{Cyclotomic numbers} {46}
\seccontents {9.5}{Filters and Categories} {46}
\chapcontents {}{Bibliography}{48}
\chapcontents {}{Index}{49}