메뉴 건너뛰기




Volumn 94, Issue 1, 2001, Pages 127-141

A Construction for Infinite Families of Steiner 3-Designs

Author keywords

Candelabra systems; Design extension; Steiner design

Indexed keywords


EID: 0035315627     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcta.2000.3139     Document Type: Article
Times cited : (5)

References (26)
  • 2
    • 0002225797 scopus 로고
    • A construction for Steiner 3-designs
    • Blanchard J. L. A construction for Steiner 3-designs. J. Combin. Theory Ser. A. 71:1995;60-67.
    • (1995) J. Combin. Theory Ser. A , vol.71 , pp. 60-67
    • Blanchard, J.L.1
  • 3
    • 0007152314 scopus 로고
    • An extension theorem for Steiner systems
    • Blanchard J. L. An extension theorem for Steiner systems. Discrete Math. 141:1995;23-35.
    • (1995) Discrete Math. , vol.141 , pp. 23-35
    • Blanchard, J.L.1
  • 5
    • 0003102604 scopus 로고
    • A construction for orthogonal arrays with strength t≥3
    • Blanchard J. L. A construction for orthogonal arrays with strength t≥3. Discrete Math. 137:1995;35-44.
    • (1995) Discrete Math. , vol.137 , pp. 35-44
    • Blanchard, J.L.1
  • 7
    • 0007220137 scopus 로고
    • A note on orthogonal arrays
    • Bose R. C. A note on orthogonal arrays. Ann. Math. Statist. 21:1950;304-305.
    • (1950) Ann. Math. Statist. , vol.21 , pp. 304-305
    • Bose, R.C.1
  • 8
    • 0000675946 scopus 로고
    • Further results on the construction of mutually orthogonal Latin squares and the falsity of a conjecture of Euler
    • Bose R. C., Shrikhande S. S., Parker E. T. Further results on the construction of mutually orthogonal Latin squares and the falsity of a conjecture of Euler. Canad. J. Math. 12:1960;189-203.
    • (1960) Canad. J. Math. , vol.12 , pp. 189-203
    • Bose, R.C.1    Shrikhande, S.S.2    Parker, E.T.3
  • 9
    • 0000662581 scopus 로고
    • Orthogonal arrays of index unity
    • Bush K. A. Orthogonal arrays of index unity. Ann. Math. Statist. 23:1952;426-434.
    • (1952) Ann. Math. Statist. , vol.23 , pp. 426-434
    • Bush, K.A.1
  • 15
    • 0000416758 scopus 로고
    • On quadruple systems
    • Hanani H. On quadruple systems. Canad. J. Math. 12:1960;145-157.
    • (1960) Canad. J. Math. , vol.12 , pp. 145-157
    • Hanani, H.1
  • 17
    • 0001039229 scopus 로고
    • On some tactical configurations
    • Hanani H. On some tactical configurations. Canad. J. Math. 15:1963;702-722.
    • (1963) Canad. J. Math. , vol.15 , pp. 702-722
    • Hanani, H.1
  • 18
    • 38149147505 scopus 로고
    • The fundamental construction for 3-designs
    • Hartman A. The fundamental construction for 3-designs. Discrete Math. 124:1994;107-131.
    • (1994) Discrete Math. , vol.124 , pp. 107-131
    • Hartman, A.1
  • 19
    • 0007153572 scopus 로고
    • On the covering of triples by quadruples
    • Mills W. H. On the covering of triples by quadruples. Congr. Numer. 10:1974;563-586.
    • (1974) Congr. Numer. , vol.10 , pp. 563-586
    • Mills, W.H.1
  • 21
    • 85008351576 scopus 로고    scopus 로고
    • A construction for group divisible t-design with strength t≥2 and index unity
    • press
    • H. Mohácsy, and, D. K. Ray-Chaudhuri, A construction for group divisible t-design with strength t≥2 and index unity, J. Statist. Plann. Inference, in press.
    • J. Statist. Plann. Inference
    • Mohácsy, H.1    Ray-Chaudhuri, D.K.2
  • 24
    • 49649132309 scopus 로고
    • An existence theory for pairwise balanced designs. I. Composition theorems and morphisms
    • Wilson R. M. An existence theory for pairwise balanced designs. I. Composition theorems and morphisms. J. Combin. Theory Ser. A. 13:1972;220-245.
    • (1972) J. Combin. Theory Ser. A , vol.13 , pp. 220-245
    • Wilson, R.M.1
  • 25
    • 49649141270 scopus 로고
    • An existence theory for pairwise balanced designs. II. The structure of PBD-closed sets and the existence conjecture
    • Wilson R. M. An existence theory for pairwise balanced designs. II. The structure of PBD-closed sets and the existence conjecture. J. Combin. Theory Ser. A. 13:1972;246-273.
    • (1972) J. Combin. Theory Ser. A , vol.13 , pp. 246-273
    • Wilson, R.M.1
  • 26
    • 0002662279 scopus 로고
    • An existence theory for pairwise balanced designs. III. Proof the existence conjectures
    • Wilson R. M. An existence theory for pairwise balanced designs. III. Proof the existence conjectures. J. Combin. Theory Ser. A. 18:1975;71-79.
    • (1975) J. Combin. Theory Ser. A , vol.18 , pp. 71-79
    • Wilson, R.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.