Construction of block designs admitting an abelian automorphism group

DOI10.1007/s00184-005-0407-yzbMath1080.05011OpenAlexW2080786036MaRDI QIDQ811954

Sanja Rukavina, Dean Crnković

Publication date: 23 January 2006

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-005-0407-y

zbMATH Keywords

abelian groupAutomorphism groupBlock designOrbit structurePrincipal series

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Statistical block designs (62K10)

Related Items

Self-dual codes from extended orbit matrices of symmetric designs ⋮ Self-orthogonal codes from the strongly regular graphs on up to 40 vertices ⋮ Unnamed Item ⋮ Extremal ternary self-dual codes of length 36 and symmetric 2-(36, 15, 6) designs with an automorphism of order 2 ⋮ Constructing block designs with a prescribed automorphism group using genetic algorithm ⋮ Higher incidence matrices and tactical decomposition matrices ⋮ On symmetric \(2\)-\((70,24,8)\) designs with an automorphism of order \(6\) ⋮ Strongly regular graphs with parameters (37, 18, 8, 9) having nontrivial automorphisms ⋮ Orbit matrices of Hadamard matrices and related codes ⋮ Classes of self-orthogonal or self-dual codes from orbit matrices of Menon designs ⋮ Unnamed Item ⋮ On automorphism groups of a biplane \((121,16,2)\) ⋮ Self-dual codes from orbit matrices and quotient matrices of combinatorial designs ⋮ Enumeration of strongly regular graphs on up to 50 vertices having \(S_{3}\) as an automorphism group ⋮ Construction of strongly regular graphs having an automorphism group of composite order ⋮ Periodic Golay pairs and pairwise balanced designs