\makelabel{RDS:About this package}{1} \makelabel{RDS:Acknowledgements}{1.1} \makelabel{RDS:Installation}{1.2} \makelabel{RDS:Verbosity}{1.3} \makelabel{RDS:InfoRDS}{1.3.1} \makelabel{RDS:DebugRDS}{1.3.2} \makelabel{RDS:Definitions and Objects}{1.4} \makelabel{RDS:AllDiffsets and OneDiffset}{2} \makelabel{RDS:A basic example}{3} \makelabel{RDS:First Step: Integers instead of group elements}{3.1} \makelabel{RDS:Signatures: An important tool}{3.2} \makelabel{RDS:Change of coset vs. brute force}{3.3} \makelabel{RDS:General concepts}{4} \makelabel{RDS:Introduction}{4.1} \makelabel{RDS:How partial difference sets are represented}{4.2} \makelabel{RDS:Basic functions for startset generation}{4.3} \makelabel{RDS:PermutationRepForDiffsetCalculations}{4.3.1} \makelabel{RDS:PermutationRepForDiffsetCalculations}{4.3.1} \makelabel{RDS:IsDiffset}{4.3.2} \makelabel{RDS:IsDiffset}{4.3.2} \makelabel{RDS:IsPartialDiffset}{4.3.3} \makelabel{RDS:IsPartialDiffset}{4.3.3} \makelabel{RDS:GroupList2PermList}{4.3.4} \makelabel{RDS:PermList2GroupList}{4.3.5} \makelabel{RDS:NewPresentables}{4.3.6} \makelabel{RDS:NewPresentables}{4.3.6} \makelabel{RDS:NewPresentables}{4.3.6} \makelabel{RDS:NewPresentables}{4.3.6} \makelabel{RDS:AllPresentables}{4.3.7} \makelabel{RDS:AllPresentables}{4.3.7} \makelabel{RDS:RemainingCompletions}{4.3.8} \makelabel{RDS:RemainingCompletionsNoSort}{4.3.8} \makelabel{RDS:ExtendedStartsets}{4.3.9} \makelabel{RDS:ExtendedStartsetsNoSort}{4.3.9} \makelabel{RDS:Brute force methods}{4.4} \makelabel{RDS:AllDiffsets}{4.4.1} \makelabel{RDS:AllDiffsets}{4.4.1} \makelabel{RDS:AllDiffsets}{4.4.1} \makelabel{RDS:AllDiffsets}{4.4.1} \makelabel{RDS:AllDiffsets}{4.4.1} \makelabel{RDS:AllDiffsetsNoSort}{4.4.2} \makelabel{RDS:AllDiffsetsNoSort}{4.4.2} \makelabel{RDS:AllDiffsetsNoSort}{4.4.2} \makelabel{RDS:AllDiffsetsNoSort}{4.4.2} \makelabel{RDS:OneDiffset}{4.4.3} \makelabel{RDS:OneDiffset}{4.4.3} \makelabel{RDS:OneDiffset}{4.4.3} \makelabel{RDS:OneDiffset}{4.4.3} \makelabel{RDS:OneDiffset}{4.4.3} \makelabel{RDS:OneDiffsetNoSort}{4.4.4} \makelabel{RDS:OneDiffsetNoSort}{4.4.4} \makelabel{RDS:OneDiffsetNoSort}{4.4.4} \makelabel{RDS:OneDiffsetNoSort}{4.4.4} \makelabel{RDS:Invariants for Difference Sets}{5} \makelabel{RDS:The Coset Signature}{5.1} \makelabel{RDS:CosetSignatureOfSet}{5.1.1} \makelabel{RDS:CosetSignatures}{5.1.2} \makelabel{RDS:CosetSignatures}{5.1.2} \makelabel{RDS:TestSignatureLargeIndex}{5.1.3} \makelabel{RDS:TestSignatureCyclicFactorGroup}{5.1.4} \makelabel{RDS:TestedSignatures}{5.1.5} \makelabel{RDS:TestedSignaturesRelative}{5.1.6} \makelabel{RDS:SigInvariant}{5.1.7} \makelabel{RDS:SignatureDataForNormalSubgroups}{5.1.8} \makelabel{RDS:RDSFactorGroupData}{5.1.9} \makelabel{RDS:MatchingFGDataNonGrp}{5.1.10} \makelabel{RDS:MatchingFGData}{5.1.11} \makelabel{RDS:ReducedStartsets}{5.1.12} \makelabel{RDS:ReducedStartsets}{5.1.12} \makelabel{RDS:maxAutsizeForOrbitCalculation}{5.1.13} \makelabel{RDS:An invariant for large lambda}{5.2} \makelabel{RDS:MultiplicityInvariantLargeLambda}{5.2.1} \makelabel{RDS:Blackbox functions}{5.3} \makelabel{RDS:SignatureData}{5.3.1} \makelabel{RDS:NormalSgsHavingAtMostNSigs}{5.3.2} \makelabel{RDS:SuitableAutomorphismsForReduction}{5.3.3} \makelabel{RDS:StartsetsInCoset}{5.3.4} \makelabel{RDS:An Example Program}{6} \makelabel{RDS:Ordered Signatures}{7} \makelabel{RDS:Ordered signatures by quotient images}{7.1} \makelabel{RDS:NormalSgsForQuotientImages}{7.1.1} \makelabel{RDS:DataForQuotientImage}{7.1.2} \makelabel{RDS:OrderedSigsFromQuotientImages}{7.1.3} \makelabel{RDS:MatchingFGDataForOrderedSigs}{7.1.4} \makelabel{RDS:OrderedSigInvariant}{7.1.5} \makelabel{RDS:Ordered signatures using representations}{7.2} \makelabel{RDS:Definition}{7.3} \makelabel{RDS:Methods for calculating ordered signatures}{7.4} \makelabel{RDS:NormalSubgroupsForRep}{7.4.1} \makelabel{RDS:OrderedSigs}{7.4.2} \makelabel{RDS:OrderedSignatureOfSet}{7.4.3} \makelabel{RDS:Block Designs and Projective Planes}{8} \makelabel{RDS:ProjectivePlane}{8} \makelabel{RDS:PointJoiningLinesProjectivePlane}{8} \makelabel{RDS:DevelopmentOfRDS}{8} \makelabel{RDS:ProjectiveClosureOfPointSet}{8} \makelabel{RDS:Isomorphisms and Collineations}{8.1} \makelabel{RDS:IsIsomorphismOfProjectivePlanes}{8.1.1} \makelabel{RDS:IsCollineationOfProjectivePlane}{8.1.2} \makelabel{RDS:IsomorphismProjPlanesByGenerators}{8.1.3} \makelabel{RDS:IsomorphismProjPlanesByGeneratorsNC}{8.1.3} \makelabel{RDS:Central Collineations}{8.2} \makelabel{RDS:ElationByPair}{8.2.1} \makelabel{RDS:AllElationsCentAx}{8.2.2} \makelabel{RDS:AllElationsAx}{8.2.3} \makelabel{RDS:IsTranslationPlane}{8.2.4} \makelabel{RDS:HomologyByPair}{8.2.5} \makelabel{RDS:GroupOfHomologies}{8.2.6} \makelabel{RDS:Collineations on Baer Subplanes}{8.3} \makelabel{RDS:InducedCollineation}{8.3.1} \makelabel{RDS:Invariants for Projective Planes}{8.4} \makelabel{RDS:NrFanoPlanesAtPoints}{8.4.1} \makelabel{RDS:IncidenceMatrix}{8.4.2} \makelabel{RDS:pRank}{8.4.3} \makelabel{RDS:FingerprintProjPlane}{8.4.4} \makelabel{RDS:FingerprintAntiFlag}{8.4.5} \makelabel{RDS:Some functions for everyday use}{9} \makelabel{RDS:Groups and actions}{9.1} \makelabel{RDS:OnSubgroups}{9.1.1} \makelabel{RDS:RepsCClassesGivenOrder}{9.1.2} \makelabel{RDS:Iterators}{9.2} \makelabel{RDS:CartesianIterator}{9.2.1} \makelabel{RDS:ConcatenationOfIterators}{9.2.2} \makelabel{RDS:Lists and Matrices}{9.3} \makelabel{RDS:IsListOfIntegers}{9.3.1} \makelabel{RDS:List2Tuples}{9.3.2} \makelabel{RDS:MatTimesTransMat}{9.3.3} \makelabel{RDS:PartitionByFunctionNF}{9.3.4} \makelabel{RDS:PartitionByFunction}{9.3.5} \makelabel{RDS:Cyclotomic numbers}{9.4} \makelabel{RDS:IsRootOfUnity}{9.4.1} \makelabel{RDS:CoeffList2CyclotomicList}{9.4.2} \makelabel{RDS:AbssquareInCyclotomics}{9.4.3} \makelabel{RDS:CycsGivenCoeffSum}{9.4.4} \makelabel{RDS:Filters and Categories}{9.5} \makelabel{RDS:IsComputableFilter}{9.5.1} \makelabel{RDS:Bibliography}{} \setcitlab {BreuersAnswer}{Bre05} \setcitlab {Bruck55}{Bru55} \setcitlab {Dembowski}{Dem68} \setcitlab {DembowskiPiper}{DP67} \setcitlab {Moorhouse}{Moo} \setcitlab {MoorhouseGraphs}{Moo95} \setcitlab {RoederDiss}{R{\accent 127 o}d06} \setcitlab {Royle}{Roy} \setcitlab {DESIGN}{Soi06a} \setcitlab {GRAPE}{Soi06b} \makelabel{RDS:Index}{}