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A family of balanced incomplete‐block designs with repeated blocks on which general linear groups act
Author(s) -
Bailey R. A.,
Cameron Peter J.
Publication year - 2007
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.20120
Subject(s) - mathematics , combinatorics , block (permutation group theory) , block design , automorphism , class (philosophy) , order (exchange) , automorphism group , lint , arithmetic , discrete mathematics , computer science , artificial intelligence , finance , economics , operating system
We give two constructions of a balanced incomplete‐block design discovered by van Lint: the design has parameters (13,39,15,5,5), and has repeated blocks and an automorphism group of order 240. One of these methods can be generalized to produce a large class of designs with the properties of the title. © 2006 Wiley Periodicals, Inc. J Combin Designs