\indexentry {Installing the DESIGN Package@Installing the DESIGN Package|indexit}{3} \indexentry {Loading DESIGN@Loading DESIGN|indexit}{4} \indexentry {The structure of a block design in DESIGN@The structure of a block design in DESIGN|indexit}{4} \indexentry {Example of the use of DESIGN@Example of the use of DESIGN|indexit}{4} \indexentry {Information from $t$-design parameters@Information from $t$-design parameters|indexit}{7} \indexentry {TDesignLambdas@`TDesignLambdas'}{7} \indexentry {TDesignLambdaMin@`TDesignLambdaMin'}{7} \indexentry {TDesignIntersectionTriangle@`TDesignIntersectionTriangle'}{7} \indexentry {SteinerSystemIntersectionTriangle@`SteinerSystemIntersectionTriangle'}{8} \indexentry {TDesignBlockMultiplicityBound@`TDesignBlockMultiplicityBound'}{8} \indexentry {ResolvableTDesignBlockMultiplicityBound@`ResolvableTDesignBlockMultiplicityBound'}{9} \indexentry {Block intersection polynomials@Block intersection polynomials|indexit}{9} \indexentry {BlockIntersectionPolynomial@`BlockIntersectionPolynomial'}{9} \indexentry {BlockIntersectionPolynomialCheck@`BlockIntersectionPolynomialCheck'}{10} \indexentry {Functions to construct block designs@Functions to construct block designs|indexit}{11} \indexentry {BlockDesign@`BlockDesign'}{11} \indexentry {BlockDesign@`BlockDesign'}{11} \indexentry {PGPointFlatBlockDesign@`PGPointFlatBlockDesign'}{11} \indexentry {WittDesign@`WittDesign'}{12} \indexentry {DualBlockDesign@`DualBlockDesign'}{12} \indexentry {ComplementBlocksBlockDesign@`ComplementBlocksBlockDesign'}{13} \indexentry {DeletedPointsBlockDesign@`DeletedPointsBlockDesign'}{13} \indexentry {DeletedBlocksBlockDesign@`DeletedBlocksBlockDesign'}{14} \indexentry {AddedPointBlockDesign@`AddedPointBlockDesign'}{14} \indexentry {AddedPointBlockDesign@`AddedPointBlockDesign'}{14} \indexentry {AddedBlocksBlockDesign@`AddedBlocksBlockDesign'}{15} \indexentry {DerivedBlockDesign@`DerivedBlockDesign'}{15} \indexentry {derived design}{15} \indexentry {ResidualBlockDesign@`ResidualBlockDesign'}{16} \indexentry {residual design}{16} \indexentry {TDesignFromTBD@`TDesignFromTBD'}{17} \indexentry {The functions for basic properties@The functions for basic properties|indexit}{18} \indexentry {IsBlockDesign@`IsBlockDesign'}{18} \indexentry {IsBinaryBlockDesign@`IsBinaryBlockDesign'}{18} \indexentry {IsSimpleBlockDesign@`IsSimpleBlockDesign'}{18} \indexentry {IsConnectedBlockDesign@`IsConnectedBlockDesign'}{18} \indexentry {BlockDesignPoints@`BlockDesignPoints'}{18} \indexentry {NrBlockDesignPoints@`NrBlockDesignPoints'}{19} \indexentry {BlockDesignBlocks@`BlockDesignBlocks'}{19} \indexentry {NrBlockDesignBlocks@`NrBlockDesignBlocks'}{19} \indexentry {BlockSizes@`BlockSizes'}{19} \indexentry {BlockNumbers@`BlockNumbers'}{19} \indexentry {ReplicationNumber@`ReplicationNumber'}{19} \indexentry {PairwiseBalancedLambda@`PairwiseBalancedLambda'}{20} \indexentry {TSubsetLambdasVector@`TSubsetLambdasVector'}{20} \indexentry {AllTDesignLambdas@`AllTDesignLambdas'}{20} \indexentry {AffineResolvableMu@`AffineResolvableMu'}{21} \indexentry {Computing automorphism groups@Computing automorphism groups|indexit}{22} \indexentry {AutGroupBlockDesign@`AutGroupBlockDesign'}{22} \indexentry {Testing isomorphism@Testing isomorphism|indexit}{22} \indexentry {IsIsomorphicBlockDesign@`IsIsomorphicBlockDesign'}{22} \indexentry {BlockDesignIsomorphismClassRepresentatives@`BlockDesignIsomorphismClassRepresentatives'}{22} \indexentry {The function BlockDesigns@The function BlockDesigns|indexit}{24} \indexentry {BlockDesigns@`BlockDesigns'}{24} \indexentry {Partitioning a block design into block designs@Partitioning a block design into block designs|indexit}{27} \indexentry {PartitionsIntoBlockDesigns@`PartitionsIntoBlockDesigns'}{27} \indexentry {Computing resolutions@Computing resolutions|indexit}{30} \indexentry {MakeResolutionsComponent@`MakeResolutionsComponent'}{30} \indexentry {MakeResolutionsComponent@`MakeResolutionsComponent'}{30} \indexentry {Writing lists of block designs and their properties in XML-format@Writing lists of block designs and their properties in XML-format|indexit}{32} \indexentry {BlockDesignsToXMLFile@`BlockDesignsToXMLFile'}{32} \indexentry {BlockDesignsToXMLFile@`BlockDesignsToXMLFile'}{32} \indexentry {BlockDesignsToXMLFile@`BlockDesignsToXMLFile'}{32} \indexentry {Reading lists of block designs in XML-format@Reading lists of block designs in XML-format|indexit}{33} \indexentry {BlockDesignsFromXMLFile@`BlockDesignsFromXMLFile'}{33}