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Volumn 17, Issue 1-3, 1999, Pages 121-128

Linear Perfect Codes and a Characterization of the Classical Designs

Author keywords

Classical design; Finite geometry; Perfect code

Indexed keywords


EID: 0009140643     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1008314923487     Document Type: Article
Times cited : (19)

References (16)
  • 1
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    • E. F. Assmus, Jr., On 2-ranks of Steiner triple systems, Electron. J. Combin., Vol. 2 (1995).
    • (1995) Electron. J. Combin. , vol.2
    • Assmus Jr., E.F.1
  • 5
    • 0000197506 scopus 로고
    • Ranks of incidence matrices of Steiner triple systems
    • J. Doyen, X. Hubaut, and M. Vandensavel, Ranks of incidence matrices of Steiner triple systems, Math. Z., Vol. 163 (1978) 251-259.
    • (1978) Math. Z. , vol.163 , pp. 251-259
    • Doyen, J.1    Hubaut, X.2    Vandensavel, M.3
  • 6
    • 0000584016 scopus 로고
    • On a class of majority logic decodable cyclic codes
    • J. M. Goethals and P. Delsarte, On a class of majority logic decodable cyclic codes, IEEE Trans. Info. Theory, Vol. 14 (1968) 182-188.
    • (1968) IEEE Trans. Info. Theory , vol.14 , pp. 182-188
    • Goethals, J.M.1    Delsarte, P.2
  • 7
    • 84972522455 scopus 로고
    • On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its application to error-correcting codes
    • N. Hamada, On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its application to error-correcting codes, Hiroshima Math. J., Vol. 3 (1973) 153-226.
    • (1973) Hiroshima Math. J. , vol.3 , pp. 153-226
    • Hamada, N.1
  • 8
    • 0000210752 scopus 로고
    • On the BIB design having the minimum p-rank
    • N. Hamada and H. Ohmori, On the BIB design having the minimum p-rank, J. Combin. Theory Ser. A Vol. 18 (1975) 131-140.
    • (1975) J. Combin. Theory Ser. A , vol.18 , pp. 131-140
    • Hamada, N.1    Ohmori, H.2
  • 9
    • 51249171923 scopus 로고
    • Classification of 2-transitive symmetric designs
    • W. M. Kantor, Classification of 2-transitive symmetric designs, Graphs and Combinatorics, Vol. 1 (1985) 165-166.
    • (1985) Graphs and Combinatorics , vol.1 , pp. 165-166
    • Kantor, W.M.1
  • 10
    • 0000137160 scopus 로고
    • On the p-rank of the design matrix of a difference set
    • F. J. MacWilliams and H. B. Mann, On the p-rank of the design matrix of a difference set, Information and Control, Vol. 12 (1968) 474-488.
    • (1968) Information and Control , vol.12 , pp. 474-488
    • MacWilliams, F.J.1    Mann, H.B.2
  • 11
    • 0347015335 scopus 로고
    • The classification of doubly transitive affine designs
    • O. Pfaff, The classification of doubly transitive affine designs, Designs, Codes and Cryptography, Vol. 1 (1991) 207-217.
    • (1991) Designs, Codes and Cryptography , vol.1 , pp. 207-217
    • Pfaff, O.1
  • 12
    • 0011659284 scopus 로고
    • On the p-rank of the incidence matrix of points and hyperplanes in a finite projective geometry
    • K. J. C. Smith, On the p-rank of the incidence matrix of points and hyperplanes in a finite projective geometry, J. Combin. Theory, Vol. 7 (1969) 122-129.
    • (1969) J. Combin. Theory , vol.7 , pp. 122-129
    • Smith, K.J.C.1
  • 13
    • 0002866887 scopus 로고
    • On projective and affine hyperplanes
    • L. Teirlinck, On projective and affine hyperplanes, J. Combin. Theory Ser. A, Vol. 28 (1980) 290-306.
    • (1980) J. Combin. Theory Ser. A , vol.28 , pp. 290-306
    • Teirlinck, L.1
  • 14
    • 38249040408 scopus 로고
    • Quasi-symmetric 2-(31,7,7) designs and a revision of Hamada's conjecture
    • V. D. Tonchev, Quasi-symmetric 2-(31,7,7) designs and a revision of Hamada's conjecture, J. Combin. Theory Ser. A Vol. 42 (1986) 104-110.
    • (1986) J. Combin. Theory Ser. A , vol.42 , pp. 104-110
    • Tonchev, V.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.