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Volumn 9, Issue 4, 2001, Pages 233-268

Balanced incomplete block designs with block size 8

Author keywords

BIBD; GDD; Pairwise balanced design

Indexed keywords


EID: 0242635834     PISSN: 10638539     EISSN: None     Source Type: Journal    
DOI: 10.1002/jcd.1010     Document Type: Article
Times cited : (12)

References (38)
  • 1
    • 38149148243 scopus 로고
    • Forty-three balanced incomplete block designs
    • R. J. R. Abel, Forty-three balanced incomplete block designs, J. Combin. Theory Ser. A 65 (1994), 252-267.
    • (1994) J. Combin. Theory Ser. A , vol.65 , pp. 252-267
    • Abel, R.J.R.1
  • 2
    • 0002454159 scopus 로고    scopus 로고
    • On the existence of BIBDs with λ = 1 and 6 ≤ k ≤ 10
    • R. J. R. Abel, On the existence of BIBDs with λ = 1 and 6 ≤ k ≤ 10, J. Combin. Des. 4 (1996), 27-50.
    • (1996) J. Combin. Des. , vol.4 , pp. 27-50
    • Abel, R.J.R.1
  • 3
    • 0002848865 scopus 로고    scopus 로고
    • Difference families
    • C. J. Colbourn and J. H. Dinitz, (Editors), CRC Press, Boca Raton FL
    • R. J. R. Abel, "Difference families," C.R.C. Handbook of Combinatorial Designs, C. J. Colbourn and J. H. Dinitz, (Editors), CRC Press, Boca Raton FL, 1996, 270-287.
    • (1996) C.R.C. Handbook of Combinatorial Designs , pp. 270-287
    • Abel, R.J.R.1
  • 4
    • 0007075550 scopus 로고    scopus 로고
    • Perfect Mendelsohn designs with block size 7
    • R. J. R. Abel and F. E. Bennett, Perfect Mendelsohn designs with block size 7, Discrete Math. 190 (1998), 1-14.
    • (1998) Discrete Math. , vol.190 , pp. 1-14
    • Abel, R.J.R.1    Bennett, F.E.2
  • 8
    • 0242617469 scopus 로고    scopus 로고
    • Pitch tournament designs and other BIBDs - Existence results for the case v = 8n + 1
    • R. J. R. Abel, N. J. Finizio, M. Greig, and S. J. Lewis, Pitch tournament designs and other BIBDs - existence results for the case v = 8n + 1, Congr. Numer. 138 (1999), 175-192.
    • (1999) Congr. Numer. , vol.138 , pp. 175-192
    • Abel, R.J.R.1    Finizio, N.J.2    Greig, M.3    Lewis, S.J.4
  • 10
    • 0040027967 scopus 로고    scopus 로고
    • Resolvable and near resolvable designs
    • C. J. Colbourn and J. H. Dinitz, (Editors), CRC Press, Boca Raton FL
    • R. J. R. Abel and S. C. Furino, "Resolvable and near resolvable designs," C.R.C. Handbook of Combinatorial Designs, C. J. Colbourn and J. H. Dinitz, (Editors), CRC Press, Boca Raton FL, 1996, 87-94.
    • (1996) C.R.C. Handbook of Combinatorial Designs , pp. 87-94
    • Abel, R.J.R.1    Furino, S.C.2
  • 11
    • 0037835354 scopus 로고    scopus 로고
    • BIBDs with small block sizes
    • C. J. Colbourn and J. H. Dinitz, (Editors), CRC Press, Boca Raton FL
    • R. J. R. Abel and M. Greig, "BIBDs with small block sizes," C.R.C. Handbook of Combinatorial Designs, C. J. Colbourn and J. H. Dinitz, (Editors), CRC Press, Boca Raton FL, 1996, 41-47.
    • (1996) C.R.C. Handbook of Combinatorial Designs , pp. 41-47
    • Abel, R.J.R.1    Greig, M.2
  • 12
    • 0040075327 scopus 로고    scopus 로고
    • Balanced incomplete block designs with block size 7
    • R. J. R. Abel and M. Greig, Balanced incomplete block designs with block size 7, Des. Codes Cryptogr. 13 (1998), 5-30.
    • (1998) Des. Codes Cryptogr. , vol.13 , pp. 5-30
    • Abel, R.J.R.1    Greig, M.2
  • 14
    • 27844607513 scopus 로고
    • Self-orthogonal Latin square and BIBD's
    • R. D. Baker, Self-orthogonal Latin square and BIBD's, Congr. Numer. 17 (1976), 101-114.
    • (1976) Congr. Numer. , vol.17 , pp. 101-114
    • Baker, R.D.1
  • 15
    • 0003723775 scopus 로고
    • Cambridge University Press, Cambridge, England, 2nd edition was published
    • T. Beth, D. Jungnickel, and H. Lenz, Design Theory, Cambridge University Press, Cambridge, England, (1986). (Vol. 1 of a 2nd edition was published in 1999).
    • (1986) Design Theory , vol.1
    • Beth, T.1    Jungnickel, D.2    Lenz, H.3
  • 16
    • 0347068437 scopus 로고
    • A series of separable designs with application to pairwise orthogonal Latin squares
    • A. E. Brouwer, A series of separable designs with application to pairwise orthogonal Latin squares, European J Combin 1 (1990), 39-41.
    • (1990) European J Combin , vol.1 , pp. 39-41
    • Brouwer, A.E.1
  • 17
    • 0030551773 scopus 로고    scopus 로고
    • Transversal designs of block size eight and nine
    • C. J. Colbourn, Transversal designs of block size eight and nine, Eur. J. Combin. 17 (1996), 1-14.
    • (1996) Eur. J. Combin. , vol.17 , pp. 1-14
    • Colbourn, C.J.1
  • 18
    • 0000231121 scopus 로고
    • Pairwise balanced designs whose lines sizes do not divide six
    • D. A. Drake and J. A. Larson, Pairwise balanced designs whose lines sizes do not divide six, J. Combin. Theory Ser. A 34 (1983), 266-300.
    • (1983) J. Combin. Theory Ser. A , vol.34 , pp. 266-300
    • Drake, D.A.1    Larson, J.A.2
  • 19
    • 85007445371 scopus 로고
    • Existence results for near resolvable designs
    • S. Furino, Existence results for near resolvable designs, J. Combin. Des. 3 (1995), 101-113.
    • (1995) J. Combin. Des. , vol.3 , pp. 101-113
    • Furino, S.1
  • 20
    • 85007461010 scopus 로고
    • Resolvable BIBDs with block size 8 and index 7
    • S. Furino, M. Greig, Y. Miao, and J. Yin, Resolvable BIBDs with block size 8 and index 7, J. Combin. Des. 2 (1994), 101-116.
    • (1994) J. Combin. Des. , vol.2 , pp. 101-116
    • Furino, S.1    Greig, M.2    Miao, Y.3    Yin, J.4
  • 22
    • 0040668875 scopus 로고    scopus 로고
    • Some group divisible design constructions
    • M. Greig, Some group divisible design constructions, J. Combin. Math. Combin. Comput. 27 (1998), 33-52.
    • (1998) J. Combin. Math. Combin. Comput. , vol.27 , pp. 33-52
    • Greig, M.1
  • 23
    • 84931080593 scopus 로고    scopus 로고
    • Recursive constructions of balanced incomplete block designs with block size of 7, 8, or 9
    • to appear
    • M. Greig, Recursive constructions of balanced incomplete block designs with block size of 7, 8, or 9, Ars Combin., to appear.
    • Ars Combin.
    • Greig, M.1
  • 24
    • 1342316752 scopus 로고    scopus 로고
    • Some pairwise balanced designs
    • M. Greig, Some pairwise balanced designs, Electron. J. Combin. 7 (2000), R13.
    • (2000) Electron. J. Combin. , vol.7
    • Greig, M.1
  • 25
    • 27844490723 scopus 로고    scopus 로고
    • Finite linear spaces I
    • M. Greig, Finite linear spaces I, Congr. Numer. 139 (1999), 167-200.
    • (1999) Congr. Numer. , vol.139 , pp. 167-200
    • Greig, M.1
  • 26
    • 0040075249 scopus 로고    scopus 로고
    • Resolvable balanced incomplete block designs with block size 8
    • M. Greig and J. Abel, Resolvable balanced incomplete block designs with block size 8, Des. Codes Cryptogr. 11 (1997), 123-140.
    • (1997) Des. Codes Cryptogr. , vol.11 , pp. 123-140
    • Greig, M.1    Abel, J.2
  • 28
    • 49549139524 scopus 로고
    • Balanced incomplete block designs and related designs
    • H. Hanani, Balanced incomplete block designs and related designs, Discrete Math. 11 (1975), 255-369.
    • (1975) Discrete Math. , vol.11 , pp. 255-369
    • Hanani, H.1
  • 29
    • 1342295668 scopus 로고
    • Answers to two questions about semi-symmetric designs
    • Z. Janko and T. van Trung, Answers to two questions about semi-symmetric designs, J. Combin. Theory Ser. A 37 (1984), 357-358.
    • (1984) J. Combin. Theory Ser. A , vol.37 , pp. 357-358
    • Janko, Z.1    Van Trung, T.2
  • 30
    • 0039008017 scopus 로고    scopus 로고
    • Realizations for direct constructions of resolvable Steiner 2-designs with block size 5
    • P. A. Leonard, Realizations for direct constructions of resolvable Steiner 2-designs with block size 5, J. Combin. Des. 8 (2000), 207-217.
    • (2000) J. Combin. Des. , vol.8 , pp. 207-217
    • Leonard, P.A.1
  • 32
    • 0031073396 scopus 로고    scopus 로고
    • Pairwise balanced designs with block sizes 8, 9 and 10
    • A. C. H. Ling and C. J. Colbourn, Pairwise balanced designs with block sizes 8, 9 and 10, J. Combin. Theory Ser. A 77 (1997), 228-245.
    • (1997) J. Combin. Theory Ser. A , vol.77 , pp. 228-245
    • Ling, A.C.H.1    Colbourn, C.J.2
  • 33
    • 0039483524 scopus 로고
    • A class of block designs having the same parameters as the design of points and lines in a projective 3-space
    • P. Lorimer, A class of block designs having the same parameters as the design of points and lines in a projective 3-space, Lecture Notes in Math. 403, (1974), 73-78.
    • (1974) Lecture Notes in Math. , vol.403 , pp. 73-78
    • Lorimer, P.1
  • 34
    • 0003039320 scopus 로고    scopus 로고
    • 2-(v, k, λ) designs of small order
    • C. J. Colbourn and J. H. Dinitz, (Editors), CRC Press, Boca Raton FL
    • R. Mathon and A. Rosa, "2-(v, k, λ) designs of small order," C.R.C. Handbook of Combinatorial Designs, C. J. Colbourn and J. H. Dinitz, (Editors), CRC Press, Boca Raton FL, 1996, 3-41.
    • (1996) C.R.C. Handbook of Combinatorial Designs , pp. 3-41
    • Mathon, R.1    Rosa, A.2
  • 35
    • 1342274526 scopus 로고    scopus 로고
    • Constructing difference families through an optimization approach: Six new BIBDs
    • L. B. Morales, Constructing difference families through an optimization approach: six new BIBDs, J. Combin. Des. 8 (2000), 261-273.
    • (2000) J. Combin. Des. , vol.8 , pp. 261-273
    • Morales, L.B.1
  • 36
    • 0038890812 scopus 로고    scopus 로고
    • PBDs, frames, and resolvability
    • C. J. Colbourn and J. H. Dinitz, (Editors), CRC Press, Boca Raton FL
    • R. C. Mullin and H-D. O. F. Gronau, "PBDs, frames, and resolvability," C.R.C. Handbook of Combinatorial Designs, C. J. Colbourn and J. H. Dinitz, (Editors), CRC Press, Boca Raton FL, 1996, 224-226.
    • (1996) C.R.C. Handbook of Combinatorial Designs , pp. 224-226
    • Mullin, R.C.1    Gronau, H.-D.O.F.2
  • 38
    • 0013529739 scopus 로고
    • Existence of BIBDs with block size 8 and λ = 7
    • J. Yin, Existence of BIBDs with block size 8 and λ = 7, J. Combin. Math. Combin. Comput. 16 (1994), 193-198.
    • (1994) J. Combin. Math. Combin. Comput. , vol.16 , pp. 193-198
    • Yin, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.