New (100,45,20) symmetric designs and Bush-type Hadamard matrices of order 100

Discrete Mathematics

Volumn 245, Issue 1-3, 2002, Pages 263-272

  Golemac, Anka ^a   Vučičić, Tanja ^a  

^a UNIVERSITY OF SPLIT   (Croatia)

Author keywords

Automorphism group; Hadamard matrix; Symmetric design

Indexed keywords

EID: 31244432138     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(01)00309-0     Document Type: Article

References (9)

1. V. Buble, A. Golemac, T. Vucicic, On groups £25-24 as automorphism groups of (100, 45, 20) symmetric designs, Glas. Mat., accepted for publication.
2. C.J. Colboum, J.H. Dinitz (Eds.), The CRC Handbook of Combinatorial Designs, CRC Press, New York, 1996.
3. The GAP Group, GAP ... Groups, Algorithms, and Programming, Version 4.1; Aachen, St Andrews, 1999.
4. A. Golemac, T. Vucicic, The difference sets in nonabelian groups of order 100, J. Combin. Designs, accepted for publication.
5. Z. Janko, Coset enumeration in groups and constructions of symmetric designs, Combinatorics, Vol. 90, Elsevier Science Publishers, Amsterdam, 1992, pp. 275-277.
6. Z. Janko, H. Kharaghani, V.D. Tonchev, Bush-type Hadamard matrices and symmetric designs, J. Combin. Designs 9 (2001) 72-78.
7. Z. Janko, H. Kharaghani, V.D. Tonchev, The existence of a Bush-type Hadamard matrix of order 324 and two new infinite classes of symmetric designs, preprint.
8. E.S. Lander, in: Symmetric Designs: An Algebraic Approach, London Mathematical Society, Lecture Note Series, Vol. 74, Cambridge University Press, London, 1983.
9. B.D. McKay, Nauty user's guide (version 1.5), Technical Report TR-CS-90-02, Computer Science Department, Australian National University, 1990.