There exists no (15,5,4) RBIBD

Journal of Combinatorial Designs

Volumn 9, Issue 3, 2001, Pages 227-232

  Kaski, Petteri ^a   Östergård, Patric R J ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

Equidistant code; Maximum clique; Orderly algorithm; Resolvable balanced incomplete block design

Indexed keywords

EID: 0242551027     PISSN: 10638539     EISSN: None     Source Type: Journal    
DOI: 10.1002/jcd.1009     Document Type: Article

References (12)

1. R. J. R. Abel, personal communication.
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3. R. J. R. Abel, G. Ge, M. Greig, and L. Zhu, Resolvable balanced incomplete block designs with block size 5, J Statist Plann Inference, to appear.
4. G. T. Bogdanova, A. E. Brouwer, S. N. Kapralov, and P. R. J. Östergård, Error-correcting codes over an alphabet of four elements, Des. Codes Cryptogr., (to appear).
5. A. E. Brouwer, H. O. Häamäläinen, P. R. J. Östergård, and N. J. A. Sloane, Bounds on mixed binary/ternary codes, IEEE Trans Inform Theory 44 (1998), 140-161.
6. S. Furino, Y. Miao, and J. Yin, Frames and resolvable designs: Uses, constructions, and existence, CRC Press, Boca Raton, 1996.
7. H. Hanani, Balanced incomplete block designs and related designs, Discrete Math 11 (1975), 255-369.
8. K. S. Kapralov, "The nonexistence of ternary (10,15,7) codes," Proc. seventh international workshop on algebraic and combinatorial coding theory (ACCT'2000), Bansko, Bulgaria 18-24 June, 2000, pp. 189-192.
9. P. R. J. Östergård, A fast algorithm for the maximum clique problem, (submitted for publication).
10. R. C. Read, Every one a winner or How to avoid isomorphism search when cataloguing combinatorial configurations, Ann. Discrete Math 2 (1978), 107-120.
11. N. V. Semakov and V. A. Zinov'ev, Equidistant q-ary codes with maximal distance and resolvable balanced incomplete block designs, (in Russian), Probl Peredach Inform 4(2), No. 2 (1968), 3-10.
12. E. Spence, The complete classification of Steiner systems S(2, 4, 25), J. Combin Designs 4 (1996), 295-300.