A family of balanced incomplete‐block designs with repeated blocks on which general linear groups act | Zendy

Bailey R. A. | Zendy; Cameron Peter J. | Zendy

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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

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