Journal of Science of the Hiroshima University, Series A-I (Mathematics)

On finite geometries and cyclically generated incomplete block designs

Sumiyasu Yamamoto, Teijiro Fukuda, and Noboru Hamada

Full-text: Open access

Article information

Source
J. Sci. Hiroshima Univ. Ser. A-I Math., Volume 30, Number 2 (1966), 137-149.

Dates
First available in Project Euclid: 21 March 2008

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1206139106

Digital Object Identifier
doi:10.32917/hmj/1206139106

Mathematical Reviews number (MathSciNet)
MR0207573

Zentralblatt MATH identifier
0201.33703

Subjects
Primary: 05.27
Secondary: 05.20

Citation

Yamamoto, Sumiyasu; Fukuda, Teijiro; Hamada, Noboru. On finite geometries and cyclically generated incomplete block designs. J. Sci. Hiroshima Univ. Ser. A-I Math. 30 (1966), no. 2, 137--149. doi:10.32917/hmj/1206139106. https://projecteuclid.org/euclid.hmj/1206139106


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References

  • [1] Bose, R.C. (1939). On the construction of balanced incomplete block designs. Ann. Eugenics 9 353- 399.
  • [2] Garmichael, R.D. (1937). Introduction to the the cry of groups of finite crder. Ginn and Corrpany, Boston.
  • [3] Rao, G.R. (1945). Finite geometries and certain derived results in theory of numbers. Proc. Nat.Inst. Set. India 11 136-149.
  • [4] Rao, C.R. (1946). Difference sets and combinatorial arrangements derivable from finite geometries. Proc. Nat. Inst. Set. India 12 123-135.
  • [5] Takeuchi, K. (1962). A table of difference sets generating balanced incomplete block designs. Rev. Inst. Internat. Statist. 30 361-366.
  • [6] Veblen, O. and Bussey, W.H. (1906). Finite projective geometries. Trans. Amer. Math. Soc. 7 241- 259.