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Volumn 261, Issue 1-3, 2003, Pages 347-360

Constructions for Steiner quadruple systems with a spanning block design

Author keywords

Spanning block design; Steiner quadruple system; t wise balanced design

Indexed keywords


EID: 84867952016     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(02)00480-6     Document Type: Article
Times cited : (25)

References (19)
  • 2
    • 84867983833 scopus 로고
    • Symmetric algebras and steiner systems
    • I. U S.O. Aliev, Symmetric algebras and Steiner systems, Soviet Math. Dokl. 8 (1967) 651-653.
    • (1967) Soviet Math. Dokl. , vol.8 , pp. 651-653
    • Aliev, I.U.S.O.1
  • 3
    • 0012999330 scopus 로고
    • Partitioning the planes of AG2m(2) into 2-designs
    • R.D. Baker, Partitioning the planes of AG2m(2) into 2-designs, Discrete Math. 15 (1976) 205-211.
    • (1976) Discrete Math , vol.15 , pp. 205-211
    • Baker, R.D.1
  • 4
  • 5
    • 77957589979 scopus 로고
    • Steiner quadruple systems with a spanning block design
    • H. Fu, Steiner quadruple systems with a spanning block design, Congr. Numer. 60 (1987) 145-150.
    • (1987) Congr. Numer. , vol.60 , pp. 145-150
    • Fu, H.1
  • 6
    • 27844489213 scopus 로고
    • Subdesigns in Steiner quadruple systems
    • A. Granville, A. Hartman, Subdesigns in Steiner quadruple systems, J. Combin. Theory (A) 56 (1991) 239-270.
    • (1991) J. Combin. Theory (A) , vol.56 , pp. 239-270
    • Granville, A.1    Hartman, A.2
  • 7
    • 0000416758 scopus 로고
    • On quadruple systems
    • H. Hanani, On quadruple systems, Canad. J. Math. 12 (1960) 145-157.
    • (1960) Canad. J. Math. , vol.12 , pp. 145-157
    • Hanani, H.1
  • 9
    • 0007889345 scopus 로고
    • A class of three-designs
    • H. Hanani, A class of three-designs, J. Combin. Theory (A) 26 (1979) 1-19.
    • (1979) J. Combin. Theory (A) , vol.26 , pp. 1-19
    • Hanani, H.1
  • 10
    • 38149147505 scopus 로고
    • The fundamental construction for 3-designs
    • A. Hartman, The fundamental construction for 3-designs, Discrete Math. 124 (1994) 107-132.
    • (1994) Discrete Math , vol.124 , pp. 107-132
    • Hartman, A.1
  • 11
    • 0039680913 scopus 로고
    • Steiner quadruple systems
    • J.H. Dinitz, D.R. Stinson (Eds.) Wiley, New York
    • A. Hartman, K.T. Phelps, Steiner quadruple systems, in: J.H. Dinitz, D.R. Stinson (Eds.), Contemporary Design Theory, Wiley, New York, 1992, pp. 205-240.
    • (1992) Contemporary Design Theory , pp. 205-240
    • Hartman, A.1    Phelps, K.T.2
  • 12
    • 27844601728 scopus 로고    scopus 로고
    • T-wise balanced designs
    • C.J. Colbourn, J.H. Dinitz (Eds.) CRC Press, Boca Raton, FL
    • E.S. Kramer, t-wise balanced designs, in: C.J. Colbourn, J.H. Dinitz (Eds.), CRC Handbook of Combinatorial Designs, CRC Press, Boca Raton, FL, 1996.
    • (1996) CRC Handbook of Combinatorial Designs
    • Kramer, E.S.1
  • 13
    • 49349123039 scopus 로고
    • Steiner quadruple systems-a survey
    • C.C. Lindner, A. Rosa, Steiner quadruple systems-a survey, Discrete Math. 22 (1978) 147-181.
    • (1978) Discrete Math , vol.22 , pp. 147-181
    • Lindner, C.C.1    Rosa, A.2
  • 14
    • 0013304642 scopus 로고
    • Some mutually orthogonal latin squares
    • W.H. Mills, Some mutually orthogonal latin squares, Congr. Numer. 19 (1977) 473-487.
    • (1977) Congr. Numer. , vol.19 , pp. 473-487
    • Mills, W.H.1
  • 15
    • 4644302124 scopus 로고
    • On the existence of H designs
    • W.H. Mills, On the existence of H designs, Congr. Numer. 79 (1990) 129-141.
    • (1990) Congr. Numer. , vol.79 , pp. 129-141
    • Mills, W.H.1
  • 16
    • 0035315627 scopus 로고    scopus 로고
    • A construction for in1nite families of steiner 3-designs
    • H. MohQacsy, D.K. Ray-Chaudhuri, A construction for in1nite families of Steiner 3-designs, J. Combin. Theory (A) 94 (2001) 127-141.
    • (2001) J. Combin. Theory (A) , vol.94 , pp. 127-141
    • Mohqacsy, H.1    Ray-Chaudhuri, D.K.2
  • 17
    • 84867988306 scopus 로고    scopus 로고
    • Private communication
    • K.T. Phelps, Private communication.
    • Phelps, K.T.1
  • 18
    • 0041504196 scopus 로고
    • Some new 2-resolvable Steiner quadruple systems
    • L. Teirlinck, Some new 2-resolvable Steiner quadruple systems, Design Codes Cryptogr. 4 (1994) 5-10.
    • (1994) Design Codes Cryptogr , vol.4 , pp. 5-10
    • Teirlinck, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.