\indexentry {Acknowledgements@Acknowledgements|indexit}{3} \indexentry {Installation@Installation|indexit}{4} \indexentry {Verbosity@Verbosity|indexit}{4} \indexentry {InfoRDS@`InfoRDS'}{4} \indexentry {DebugRDS@`DebugRDS'}{4} \indexentry {Definitions and Objects@Definitions and Objects|indexit}{4} \indexentry {First Step: Integers instead of group elements@First Step: Integers instead of group elements|indexit}{8} \indexentry {Signatures: An important tool@Signatures: An important tool|indexit}{9} \indexentry {Change of coset vs. brute force@Change of coset vs. brute force|indexit}{10} \indexentry {Introduction@Introduction|indexit}{11} \indexentry {How partial difference sets are represented@How partial difference sets are represented|indexit}{12} \indexentry {Basic functions for startset generation@Basic functions for startset generation|indexit}{12} \indexentry {PermutationRepForDiffsetCalculations@`PermutationRepForDiffsetCalculations'}{12} \indexentry {PermutationRepForDiffsetCalculations@`PermutationRepForDiffsetCalculations'}{12} \indexentry {IsDiffset@`IsDiffset'}{13} \indexentry {IsDiffset@`IsDiffset'}{13} \indexentry {IsPartialDiffset@`IsPartialDiffset'}{13} \indexentry {IsPartialDiffset@`IsPartialDiffset'}{13} \indexentry {GroupList2PermList@`GroupList2PermList'}{14} \indexentry {PermList2GroupList@`PermList2GroupList'}{14} \indexentry {NewPresentables@`NewPresentables'}{14} \indexentry {NewPresentables@`NewPresentables'}{14} \indexentry {NewPresentables@`NewPresentables'}{14} \indexentry {NewPresentables@`NewPresentables'}{14} \indexentry {AllPresentables@`AllPresentables'}{15} \indexentry {AllPresentables@`AllPresentables'}{15} \indexentry {RemainingCompletions@`RemainingCompletions'}{15} \indexentry {RemainingCompletionsNoSort@`RemainingCompletionsNoSort'}{15} \indexentry {ExtendedStartsets@`ExtendedStartsets'}{15} \indexentry {ExtendedStartsetsNoSort@`ExtendedStartsetsNoSort'}{15} \indexentry {Brute force methods@Brute force methods|indexit}{16} \indexentry {AllDiffsets@`AllDiffsets'}{16} \indexentry {AllDiffsets@`AllDiffsets'}{16} \indexentry {AllDiffsets@`AllDiffsets'}{16} \indexentry {AllDiffsets@`AllDiffsets'}{16} \indexentry {AllDiffsets@`AllDiffsets'}{16} \indexentry {AllDiffsetsNoSort@`AllDiffsetsNoSort'}{16} \indexentry {AllDiffsetsNoSort@`AllDiffsetsNoSort'}{16} \indexentry {AllDiffsetsNoSort@`AllDiffsetsNoSort'}{16} \indexentry {AllDiffsetsNoSort@`AllDiffsetsNoSort'}{16} \indexentry {OneDiffset@`OneDiffset'}{17} \indexentry {OneDiffset@`OneDiffset'}{17} \indexentry {OneDiffset@`OneDiffset'}{17} \indexentry {OneDiffset@`OneDiffset'}{17} \indexentry {OneDiffset@`OneDiffset'}{17} \indexentry {OneDiffsetNoSort@`OneDiffsetNoSort'}{18} \indexentry {OneDiffsetNoSort@`OneDiffsetNoSort'}{18} \indexentry {OneDiffsetNoSort@`OneDiffsetNoSort'}{18} \indexentry {OneDiffsetNoSort@`OneDiffsetNoSort'}{18} \indexentry {The Coset Signature@The Coset Signature|indexit}{19} \indexentry {CosetSignatureOfSet@`CosetSignatureOfSet'}{19} \indexentry {CosetSignatures@`CosetSignatures'}{20} \indexentry {CosetSignatures@`CosetSignatures'}{20} \indexentry {TestSignatureLargeIndex@`TestSignatureLargeIndex'}{20} \indexentry {TestSignatureCyclicFactorGroup@`TestSignatureCyclicFactorGroup'}{20} \indexentry {TestedSignatures@`TestedSignatures'}{21} \indexentry {InfoRDS@{\fam \ttfam \tentt InfoRDS}}{21} \indexentry {TestedSignaturesRelative@`TestedSignaturesRelative'}{21} \indexentry {SigInvariant@`SigInvariant'}{21} \indexentry {SignatureDataForNormalSubgroups@`SignatureDataForNormalSubgroups'}{22} \indexentry {RDSFactorGroupData@`RDSFactorGroupData'}{23} \indexentry {MatchingFGDataNonGrp@`MatchingFGDataNonGrp'}{24} \indexentry {MatchingFGData@`MatchingFGData'}{24} \indexentry {ReducedStartsets@`ReducedStartsets'}{24} \indexentry {ReducedStartsets@`ReducedStartsets'}{24} \indexentry {maxAutsizeForOrbitCalculation@`maxAutsizeForOrbitCalculation'}{24} \indexentry {An invariant for large lambda@An invariant for large lambda|indexit}{25} \indexentry {MultiplicityInvariantLargeLambda@`MultiplicityInvariantLargeLambda'}{25} \indexentry {Blackbox functions@Blackbox functions|indexit}{25} \indexentry {SignatureData@`SignatureData'}{25} \indexentry {NormalSgsHavingAtMostNSigs@`NormalSgsHavingAtMostNSigs'}{26} \indexentry {SuitableAutomorphismsForReduction@`SuitableAutomorphismsForReduction'}{26} \indexentry {StartsetsInCoset@`StartsetsInCoset'}{26} \indexentry {Ordered signatures by quotient images@Ordered signatures by quotient images|indexit}{31} \indexentry {NormalSgsForQuotientImages@`NormalSgsForQuotientImages'}{31} \indexentry {DataForQuotientImage@`DataForQuotientImage'}{31} \indexentry {OrderedSigsFromQuotientImages@`OrderedSigsFromQuotientImages'}{32} \indexentry {MatchingFGDataForOrderedSigs@`MatchingFGDataForOrderedSigs'}{32} \indexentry {OrderedSigInvariant@`OrderedSigInvariant'}{32} \indexentry {Ordered signatures using representations@Ordered signatures using representations|indexit}{32} \indexentry {Definition@Definition|indexit}{33} \indexentry {Methods for calculating ordered signatures@Methods for calculating ordered signatures|indexit}{33} \indexentry {NormalSubgroupsForRep@`NormalSubgroupsForRep'}{33} \indexentry {OrderedSigs@`OrderedSigs'}{33} \indexentry {OrderedSignatureOfSet@`OrderedSignatureOfSet'}{34} \indexentry {ProjectivePlane@`ProjectivePlane'}{36} \indexentry {PointJoiningLinesProjectivePlane@`PointJoiningLinesProjectivePlane'}{36} \indexentry {DevelopmentOfRDS@`DevelopmentOfRDS'}{36} \indexentry {ProjectiveClosureOfPointSet@`ProjectiveClosureOfPointSet'}{37} \indexentry {Isomorphisms and Collineations@Isomorphisms and Collineations|indexit}{38} \indexentry {IsIsomorphismOfProjectivePlanes@`IsIsomorphismOfProjectivePlanes'}{38} \indexentry {IsCollineationOfProjectivePlane@`IsCollineationOfProjectivePlane'}{38} \indexentry {IsomorphismProjPlanesByGenerators@`IsomorphismProjPlanesByGenerators'}{38} \indexentry {IsomorphismProjPlanesByGeneratorsNC@`IsomorphismProjPlanesByGeneratorsNC'}{38} \indexentry {Central Collineations@Central Collineations|indexit}{39} \indexentry {ElationByPair@`ElationByPair'}{39} \indexentry {AllElationsCentAx@`AllElationsCentAx'}{39} \indexentry {AllElationsAx@`AllElationsAx'}{39} \indexentry {IsTranslationPlane@`IsTranslationPlane'}{40} \indexentry {HomologyByPair@`HomologyByPair'}{40} \indexentry {GroupOfHomologies@`GroupOfHomologies'}{40} \indexentry {Collineations on Baer Subplanes@Collineations on Baer Subplanes|indexit}{40} \indexentry {InducedCollineation@`InducedCollineation'}{40} \indexentry {Invariants for Projective Planes@Invariants for Projective Planes|indexit}{41} \indexentry {NrFanoPlanesAtPoints@`NrFanoPlanesAtPoints'}{41} \indexentry {IncidenceMatrix@`IncidenceMatrix'}{41} \indexentry {pRank@`pRank'}{41} \indexentry {FingerprintProjPlane@`FingerprintProjPlane'}{42} \indexentry {FingerprintAntiFlag@`FingerprintAntiFlag'}{42} \indexentry {Groups and actions@Groups and actions|indexit}{43} \indexentry {OnSubgroups@`OnSubgroups'}{43} \indexentry {RepsCClassesGivenOrder@`RepsCClassesGivenOrder'}{43} \indexentry {Iterators@Iterators|indexit}{43} \indexentry {CartesianIterator@`CartesianIterator'}{43} \indexentry {ConcatenationOfIterators@`ConcatenationOfIterators'}{43} \indexentry {Lists and Matrices@Lists and Matrices|indexit}{44} \indexentry {IsListOfIntegers@`IsListOfIntegers'}{44} \indexentry {List2Tuples@`List2Tuples'}{44} \indexentry {MatTimesTransMat@`MatTimesTransMat'}{44} \indexentry {PartitionByFunctionNF@`PartitionByFunctionNF'}{44} \indexentry {PartitionByFunction@`PartitionByFunction'}{44} \indexentry {InfoRDS@{\fam \ttfam \tentt InfoRDS}}{44} \indexentry {Cyclotomic numbers@Cyclotomic numbers|indexit}{45} \indexentry {IsRootOfUnity@`IsRootOfUnity'}{45} \indexentry {CoeffList2CyclotomicList@`CoeffList2CyclotomicList'}{45} \indexentry {AbssquareInCyclotomics@`AbssquareInCyclotomics'}{45} \indexentry {CycsGivenCoeffSum@`CycsGivenCoeffSum'}{45} \indexentry {Filters and Categories@Filters and Categories|indexit}{45} \indexentry {IsComputableFilter@`IsComputableFilter'}{46}