메뉴 건너뛰기




Volumn 79, Issue 1-2, 2004, Pages 102-133

Geometrical contributions to secret sharing theory

Author keywords

Finite geometry; Information security; Secret sharing

Indexed keywords


EID: 13444289684     PISSN: 00472468     EISSN: 14208997     Source Type: Journal    
DOI: 10.1007/s00022-003-1633-y     Document Type: Article
Times cited : (13)

References (67)
  • 6
    • 55449118914 scopus 로고
    • Enciphered geometry: Some applications of geometry to cryptography
    • A. Beutelspacher, Enciphered geometry: some applications of geometry to cryptography, Annals Discr. Math. 37 (1988) 59-68.
    • (1988) Annals Discr. Math. , vol.37 , pp. 59-68
    • Beutelspacher, A.1
  • 8
    • 0346227016 scopus 로고
    • Applications of finite geometry to cryptography
    • Codes and Cryptography, CISM Courses and Lecture Notes 313, Springer Verlag
    • A. Beutelspacher, Applications of finite geometry to cryptography, Geometries, in: Codes and Cryptography, CISM Courses and Lecture Notes 313, Springer Verlag, 1990, pp. 161-186.
    • (1990) Geometries , pp. 161-186
    • Beutelspacher, A.1
  • 9
    • 33947514080 scopus 로고    scopus 로고
    • Geometric structures as threshold schemes
    • H.J. Beker and F.C. Piper, Eds., Oxford University Press
    • A. Beutelspacher and K. Vedder, Geometric structures as threshold schemes, in: Cryptography and Coding, H.J. Beker and F.C. Piper, Eds., Oxford University Press, 1989, pp. 255-268.
    • Cryptography and Coding , vol.1989 , pp. 255-268
    • Beutelspacher, A.1    Vedder, K.2
  • 10
    • 55449130469 scopus 로고
    • Die bedeutung von shared secret schemes als mechanisms zur realisierung von sicherheitsfunktionen in informationstechnischen systemen
    • A. Beutelspacher and A. Kersten, Die Bedeutung von shared secret schemes als Mechanisms zur Realisierung von Sicherheitsfunktionen in Informationstechnischen Systemen, Datenschutz und Datensicherung 9 (1993) 498-510.
    • (1993) Datenschutz und Datensicherung , vol.9 , pp. 498-510
    • Beutelspacher, A.1    Kersten, A.2
  • 18
  • 19
    • 0013546220 scopus 로고    scopus 로고
    • On the dealer's randomness required in secret sharing schemes
    • C. Blundo, A. Gaggia and D.R. Stinson, On the dealer's randomness required in secret sharing schemes, Des. Codes Cryptogr. 11 (1997) 235-259.
    • (1997) Des. Codes Cryptogr. , vol.11 , pp. 235-259
    • Blundo, C.1    Gaggia, A.2    Stinson, D.R.3
  • 21
    • 0000849681 scopus 로고
    • On the classification of ideal secret sharing schemes
    • E.F. Brickell and D.M. Davenport, On the classification of ideal secret sharing schemes, J. Cryptology 2 (1991) 123-134.
    • (1991) J. Cryptology , vol.2 , pp. 123-134
    • Brickell, E.F.1    Davenport, D.M.2
  • 22
    • 0005167951 scopus 로고
    • The detection of cheaters in threshold schemes
    • E.F. Brickell and D.R. Stinson, The detection of cheaters in threshold schemes, SLAM J. of Disc. Math. 4 (1991) 502-510.
    • (1991) SLAM J. of Disc. Math. , vol.4 , pp. 502-510
    • Brickell, E.F.1    Stinson, D.R.2
  • 25
    • 0001476931 scopus 로고
    • A perfect threshold secret sharing scheme to identify cheaters
    • M. Carpentieri, A perfect threshold secret sharing scheme to identify cheaters, Des. Codes Cryptogr. 5 (1995) 183-188.
    • (1995) Des. Codes Cryptogr. , vol.5 , pp. 183-188
    • Carpentieri, M.1
  • 29
    • 0001522694 scopus 로고
    • On the information rate of perfect secret sharing schemes
    • M. van Dijk, On the information rate of perfect secret sharing schemes, Des. Codes Cryptogr. 6 (1995) 143-169.
    • (1995) Des. Codes Cryptogr. , vol.6 , pp. 143-169
    • Van Dijk, M.1
  • 30
    • 0141948319 scopus 로고    scopus 로고
    • A general decomposition construction for incomplete secret sharing schemes
    • M. van Dijk, W.-A. Jackson and K.M. Martin, A general decomposition construction for incomplete secret sharing schemes, Des. Codes Cryptogr. 15 (1998) 301-321.
    • (1998) Des. Codes Cryptogr. , vol.15 , pp. 301-321
    • Van Dijk, M.1    Jackson, W.-A.2    Martin, K.M.3
  • 33
    • 0027289776 scopus 로고
    • Secret sharing schemes realizing general access structure
    • M. Ito, A. Saito and T. Nishizeki, Secret sharing schemes realizing general access structure, J. Cryptology 6 (1993) 15-20.
    • (1993) J. Cryptology , vol.6 , pp. 15-20
    • Ito, M.1    Saito, A.2    Nishizeki, T.3
  • 34
    • 0013483720 scopus 로고
    • Geometric secret sharing schemes and their duals
    • W.-A. Jackson and K.M. Martin, Geometric secret sharing schemes and their duals, Des. Codes Cryptogr. 4 (1994) 83-95.
    • (1994) Des. Codes Cryptogr. , vol.4 , pp. 83-95
    • Jackson, W.-A.1    Martin, K.M.2
  • 36
    • 0032217850 scopus 로고    scopus 로고
    • An algorithm for efficient geometric secret sharing schemes
    • W.-A. Jackson and K.M. Martin, An Algorithm for efficient geometric secret sharing schemes, Utilitas Mathematica 54 (1998) 127-150.
    • (1998) Utilitas Mathematica , vol.54 , pp. 127-150
    • Jackson, W.-A.1    Martin, K.M.2
  • 37
    • 0001652944 scopus 로고    scopus 로고
    • Perfect secret sharing schemes on five participants
    • W.-A. Jackson and K.M. Martin, Perfect secret sharing schemes on five participants, Des. Codes Cryptogr. 9 (1996) 267-286.
    • (1996) Des. Codes Cryptogr. , vol.9 , pp. 267-286
    • Jackson, W.-A.1    Martin, K.M.2
  • 38
    • 0006544582 scopus 로고    scopus 로고
    • A combinatorial exposition of ramp schemes
    • W.-A. Jackson and K.M. Martin, A combinatorial exposition of ramp schemes, Australas. J. Combin. 14 (1996) 51-60.
    • (1996) Australas. J. Combin. , vol.14 , pp. 51-60
    • Jackson, W.-A.1    Martin, K.M.2
  • 41
    • 0342890136 scopus 로고    scopus 로고
    • Mutually trusted authority free secret sharing schemes
    • W.-A. Jackson, K.M. Martin, and C.M. O'Keefe, Mutually trusted authority free secret sharing schemes, J. Cryptology 10 (1997) 261-289.
    • (1997) J. Cryptology , vol.10 , pp. 261-289
    • Jackson, W.-A.1    Martin, K.M.2    O'Keefe, C.M.3
  • 45
    • 0345884729 scopus 로고    scopus 로고
    • Matroid representations by partitions
    • F. Matùs, Matroid Representations by Partitions, Discrete Mathematics 203 (1999) 169-194.
    • (1999) Discrete Mathematics , vol.203 , pp. 169-194
    • Matùs, F.1
  • 48
    • 55449136106 scopus 로고    scopus 로고
    • A representation of a family of secret sharing matroids
    • to appear
    • S.-L. Ng, A representation of a family of secret sharing matroids, to appear in Des. Codes Cryptogr.
    • Des. Codes Cryptogr.
    • Ng, S.-L.1
  • 49
    • 0035452614 scopus 로고    scopus 로고
    • On the composition of matroids and ideal secret sharing schemes
    • S.-L. Ng and M. Walker, On the composition of matroids and ideal secret sharing schemes, Des. Codes Cryptogr. 24 (2001) 49-67.
    • (2001) Des. Codes Cryptogr. , vol.24 , pp. 49-67
    • Ng, S.-L.1    Walker, M.2
  • 51
    • 0002828874 scopus 로고
    • Key distribution patterns using Minkowski planes
    • C.M. O'Keefe, Key distribution patterns using Minkowski planes, Des. Codes Cryptogr. 5 (1995), 261-267.
    • (1995) Des. Codes Cryptogr. , vol.5 , pp. 261-267
    • O'Keefe, C.M.1
  • 55
    • 0018545449 scopus 로고
    • How to share a secret
    • A. Shamir, How to share a secret, Comm. ACM 22 (1979) 612-613.
    • (1979) Comm. ACM , vol.22 , pp. 612-613
    • Shamir, A.1
  • 56
    • 0005180192 scopus 로고
    • Robust shared secret schemes or 'how to be sure you have the right answer even though you don't know the question'
    • G.J. Simmons, Robust shared secret schemes or 'how to be sure you have the right answer even though you don't know the question', Congr. Numer. 68 (1989) 215-248.
    • (1989) Congr. Numer. , vol.68 , pp. 215-248
    • Simmons, G.J.1
  • 63
    • 0025212061 scopus 로고
    • The combinatorics of authentication and secrecy codesz
    • D.R. Stinson, The combinatorics of authentication and secrecy codesz, J. Cryptology 2 (1990) 23-49.
    • (1990) J. Cryptology , vol.2 , pp. 23-49
    • Stinson, D.R.1
  • 64
    • 0000708528 scopus 로고
    • An explication of secret sharing schemes
    • D.R. Stinson, An explication of secret sharing schemes, Des. Codes Cryptogr. 2 (1992) 357-390.
    • (1992) Des. Codes Cryptogr. , vol.2 , pp. 357-390
    • Stinson, D.R.1
  • 65
    • 0028323999 scopus 로고
    • Decomposition constructions for secret sharing schemes
    • D.R. Stinson, Decomposition constructions for secret sharing schemes, IEEE Trans. Inf. Th. 40 (1994) 118-125.
    • (1994) IEEE Trans. Inf. Th. , vol.40 , pp. 118-125
    • Stinson, D.R.1
  • 67
    • 0029211714 scopus 로고
    • A geometric approach for sharing secrets
    • T.-C. Wu and W.-H. He, A geometric approach for sharing secrets, Computers and Security 14 (1995) 135-146.
    • (1995) Computers and Security , vol.14 , pp. 135-146
    • Wu, T.-C.1    He, W.-H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.