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Jimbo, Masakazu; Kuriki, Shinji

On a composition of cyclic 2-designs. (English) Zbl 0526.05011

Discrete Math. 46, 249-255 (1983).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0526.05011

Cited in 3 Reviews
Cited in 15 Documents

MSC:

05B05 Combinatorial aspects of block designs

Keywords:

cyclic 2-design; regular short orbits; row difference scheme

Citations:

Zbl 0464.05010
Cite Review PDF
Full Text: DOI

References:

[1] Bose, R. C.; Bush, K. A., Orthogonal arrays of strength two and three, Ann. Math. Stat., 23, 508-524 (1952) · Zbl 0048.00803
[2] Bose, R. C.; Shrikhande, S. S., On the construction of sets of mutually orthogonal Latin squares and the falsity of a conjecture of Euler, Trans. Amer. Math. Soc., 95, 191-209 (1960) · Zbl 0093.31904
[3] Bose, R. C.; Shrikhande, S. S., On the composition of balanced incomplete block designs, Canad. J. Math., 12, 177-188 (1960) · Zbl 0093.31906
[4] Colbourn, M. J.; Colbourn, C. J., On cyclic block designs, Math. Report of Canadian Academy of Science, 2, 95-98 (1980) · Zbl 0427.05015
[5] Colbourn, M. J.; Colbourn, C. J., Cyclic block designs with block size 3, Europ. J. Combin., 2, 21-26 (1981) · Zbl 0464.05010
[6] Colbourn, M. J.; Mathon, R. A., On cyclic Steiner 2-designs, (Lindner, C. C., Topics on Steiner Systems. Topics on Steiner Systems, Annals Discr. Math., 7 (1980), North-Holland: North-Holland Amsterdam), 215-253 · Zbl 0438.05012
[7] Hall, M., Combinatorial Theory (1967), Wiley: Wiley New York · Zbl 0196.02401
[8] Rao, C. R., Finite geometries and certain derived results in theory of numbers, Proc. Nat. Inst. Sci. India, 11, 136-149 (1945) · Zbl 0063.06419
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