G-invariantly resolvable Steiner 2-designs which are 1-rotational over G

Bulletin of the Belgian Mathematical Society - Simon Stevin

Volumn 5, Issue 2-3, 1998, Pages 221-235

  Buratti, Marco ^a   Zuanni, Fulvio ^a  

^a NONE

Author keywords

1 rotational difference family; Resolvable steiner 2 design

Indexed keywords

EID: 0041125739     PISSN: 13701444     EISSN: None     Source Type: Journal    
DOI: 10.36045/bbms/1103409006     Document Type: Article

References (15)

1. R. J. R. Abel. Difference families. In CRC Handbook of Combinatorial Designs (C. J. Colbourn and J. H. Dinitz (eds.)), CRC Press, Boca Raton, FL, 1996, 270-287.
2. R. J. R. Abel and M. Greig. BIBDs with small block size. In CRC Handbook of Combinatorial Designs (C. J. Colbourn and J. H. Dinitz (eds.)), CRC Press, Boca Raton, FL, 1996, 41-47.
3. I. Anderson and N. J. Finizio. Cyclically resolvable designs and triple whist tournaments. J. Combin. Des. 1 (1993), 347-358.
4. T. Beth, D. Jungnickel and H. Lenz. Design Theory Cambridge University Press, Cambridge (1993).
5. M. Buratti. On resolvable difference families. Des. Codes Cryptogr. 11 (1997), 11-23.
6. M. Buratti. Recursive constructions for difference matrices and relative difference families. J. Combin. Des., to appear.
7. M. Buratti. Some constructions for 1-rotational BIBD's with block size 5. Australas. J. Combin., to appear.
8. M. J. Colbourn and C. J. Colbourn. Recursive constructions for cyclic block designs. J. Statist. Plann. Inference 10 (1984), 97-103.
9. C. J. Colbourn and W. de Launey. Difference matrices. In CRC Handbook of Combinatorial Designs (C. J. Colbourn and J. H. Dinitz (eds.)), CRC Press, Boca Raton, FL, 1996, 287-297.
10. M. Genma, M. Jimbo and M. Mishima. Cyclic resolvability of cyclic Steiner 2-designs. J. Combin. Des. 5 (1997), 177-187.
11. M. Jimbo. A recursive construction of 1-rotational Steiner 2-designs. Aequationes Math. 26 (1983), 184-190.
12. M. Jimbo and S. A. Vanstone. Recursive constructions for resolvable and doubly resolvable 1-rotational Steiner 2-designs. Utilitas Math. 26 (1984), 45-61.
13. R. Mathon and A. Rosa. 2 -(v, k, λ) designs of small order. In CRC Handbook of Combinatorial Designs (C. J. Colbourn and J. H. Dinitz (eds.)), CRC Press, Boca Raton, FL, 1996, 3-41.
14. E. H. Moore. Tactical Memoranda I-III. Amer. J. Math. 18 (1896), 264-303.
15. K. T. Phelps and A. Rosa. Steiner triple systems with rotational automorphisms. Discrete Math. 33 (1981), 57-66.