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Volumn 208-209, Issue , 1999, Pages 103-117

Pairwise balanced designs from finite fields

Author keywords

Balanced incomplete block design; Difference family; Pairwise balanced design

Indexed keywords


EID: 0007031113     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(99)00066-7     Document Type: Article
Times cited : (31)

References (25)
  • 1
    • 0039883479 scopus 로고
    • Cyclic designs in the 1850s; the work of Rev. R.R. Anstice
    • I. Anderson, Cyclic designs in the 1850s; the work of Rev. R.R. Anstice, Bull. Ist. Combin. Appl. 15 (1995) 41-46.
    • (1995) Bull. Ist. Combin. Appl. , vol.15 , pp. 41-46
    • Anderson, I.1
  • 2
    • 0042981355 scopus 로고
    • On a problem in combinatorics
    • R.R. Anstice, On a problem in combinatorics, Cambridge Dublin Math. J. 7 (1852) 279-292.
    • (1852) Cambridge Dublin Math. J. , vol.7 , pp. 279-292
    • Anstice, R.R.1
  • 3
    • 0041979733 scopus 로고
    • On a problem in combinatorics
    • R.R. Anstice, On a problem in combinatorics (continued), Cambridge Dublin Math. J. 8 (1853) 149-154.
    • (1853) Cambridge Dublin Math. J. , vol.8 , pp. 149-154
    • Anstice, R.R.1
  • 5
    • 38149148243 scopus 로고
    • Forty-three balanced incomplete block designs
    • 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, J.R.1
  • 6
    • 0002454159 scopus 로고    scopus 로고
    • Some new BIBDs with λ = 1 and 6≤k≤10
    • J.R. Abel, Some new BIBDs with λ = 1 and 6≤k≤10, J. Combin. Designs 4 (1996) 27-50.
    • (1996) J. Combin. Designs , vol.4 , pp. 27-50
    • Abel, J.R.1
  • 7
    • 0002848865 scopus 로고    scopus 로고
    • Difference families
    • C.J. Colbourn, J.H. Dinitz (Eds.), Boca Raton, FL
    • J.R. Abel, Difference families, in: C.J. Colbourn, J.H. Dinitz (Eds.), CRC Handboock of Combinatorial designs CRC Press, Boca Raton, FL, 1996, pp. 270-287.
    • (1996) CRC Handboock of Combinatorial Designs CRC Press , pp. 270-287
    • Abel, J.R.1
  • 8
    • 0041979732 scopus 로고
    • Some cyclic solutions of balanced incomplete block designs
    • V.N. Bhat, Some cyclic solutions of balanced incomplete block designs, Sankhya 31 (1969) 355-360.
    • (1969) Sankhya , vol.31 , pp. 355-360
    • Bhat, V.N.1
  • 10
    • 0001218249 scopus 로고
    • On the construction of balanced incomplete block designs
    • R.C. Bose, On the construction of balanced incomplete block designs, Ann. Eugenics 9 (1939) 353-399.
    • (1939) Ann. Eugenics , vol.9 , pp. 353-399
    • Bose, R.C.1
  • 11
    • 0000280366 scopus 로고
    • Constructions of (q, k, 1) difference families with q a prime power and k = 4,5
    • M. Buratti, Constructions of (q, k, 1) difference families with q a prime power and k = 4,5, Discrete Math. 138 (1995) 169-175.
    • (1995) Discrete Math. , vol.138 , pp. 169-175
    • Buratti, M.1
  • 12
    • 84995427818 scopus 로고
    • Improving two theorems of bose on difference families
    • M. Buratti, Improving two theorems of Bose on difference families, J. Combin. Designs 3 (1995) 15-24.
    • (1995) J. Combin. Designs , vol.3 , pp. 15-24
    • Buratti, M.1
  • 13
    • 0009064257 scopus 로고
    • On simple radical difference families
    • M. Buratti, On simple radical difference families, J. Combin. Designs 3 (1995) 161-168.
    • (1995) J. Combin. Designs , vol.3 , pp. 161-168
    • Buratti, M.1
  • 14
    • 0007123935 scopus 로고
    • A powerful method for constructing difference families and optimal optical orthogonal codes
    • M. Buratti, A powerful method for constructing difference families and optimal optical orthogonal codes, Designs, Codes Cryptogr. 5 (1995) 13-25.
    • (1995) Designs, Codes Cryptogr. , vol.5 , pp. 13-25
    • Buratti, M.1
  • 15
    • 0011009015 scopus 로고    scopus 로고
    • A packing problem and its application to Bose's families
    • M. Buratti, A packing problem and its application to Bose's families, J. Combin. Designs 4 (1996) 457-472.
    • (1996) J. Combin. Designs , vol.4 , pp. 457-472
    • Buratti, M.1
  • 16
    • 0042981343 scopus 로고    scopus 로고
    • Packing the blocks of a regular structure
    • M. Buratti, Packing the blocks of a regular structure, Bull. Ist. Comb. Appl. 21 (1997) 49-58.
    • (1997) Bull. Ist. Comb. Appl. , vol.21 , pp. 49-58
    • Buratti, M.1
  • 17
    • 0042480407 scopus 로고    scopus 로고
    • Small quasimultiple affine and projective planes; some improved bounds
    • M. Buratti, Small quasimultiple affine and projective planes; some improved bounds, J. Combin. Designs 8 (1998) 199-227.
    • (1998) J. Combin. Designs , vol.8 , pp. 199-227
    • Buratti, M.1
  • 18
    • 0002253475 scopus 로고    scopus 로고
    • Existence of prime power difference families of block size 4 and 5
    • K. Chen, L. Zhu, Existence of prime power difference families of block size 4 and 5, J. Combin. Designs 7 (1998) 21-30.
    • (1998) J. Combin. Designs , vol.7 , pp. 21-30
    • Chen, K.1    Zhu, L.2
  • 19
    • 0006531835 scopus 로고    scopus 로고
    • Existence of prime power difference families of block size 6
    • K. Chen, L. Zhu, Existence of prime power difference families of block size 6, Designs Codes Cryptogr. 15 (1998) 167-173.
    • (1998) Designs Codes Cryptogr. , vol.15 , pp. 167-173
    • Chen, K.1    Zhu, L.2
  • 20
    • 38149143668 scopus 로고
    • Difference families from rings
    • S. Furino, Difference families from rings, Discrete Math. 97 (1991) 177-190.
    • (1991) Discrete Math. , vol.97 , pp. 177-190
    • Furino, S.1
  • 21
    • 0007025719 scopus 로고
    • Some balanced incomplete block design constructions
    • M. Greig, Some balanced incomplete block design constructions, Congr. Numer. 77 (1990) 121-134.
    • (1990) Congr. Numer. , vol.77 , pp. 121-134
    • Greig, M.1
  • 23
    • 38249017052 scopus 로고
    • On the existence of small quasimultiple affine and projective planes of arbitrary order
    • D. Jungnickel, On the existence of small quasimultiple affine and projective planes of arbitrary order, Discrete Math. 85 (1990) 177-189.
    • (1990) Discrete Math. , vol.85 , pp. 177-189
    • Jungnickel, D.1
  • 24
    • 0000206323 scopus 로고
    • Zur theorie der tripelsysteme
    • E. Netto, Zur Theorie der Tripelsysteme, Math. Ann. 42 (1893) 143-152.
    • (1893) Math. Ann. , vol.42 , pp. 143-152
    • Netto, E.1
  • 25
    • 0002921967 scopus 로고
    • Cyclotomy and difference families in elementary abelian groups
    • R.M. Wilson, Cyclotomy and difference families in elementary abelian groups, J. Number Theory 4 (1972) 17-42.
    • (1972) J. Number Theory , vol.4 , pp. 17-42
    • Wilson, R.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.