메뉴 건너뛰기




Volumn 4948 LNCS, Issue , 2008, Pages 194-212

Matroids can be far from ideal secret sharing

Author keywords

[No Author keywords available]

Indexed keywords

CRYPTOGRAPHY; GRAPH THEORY; SET THEORY;

EID: 40249109897     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-78524-8_12     Document Type: Conference Paper
Times cited : (38)

References (36)
  • 1
    • 0028429265 scopus 로고
    • Universally ideal secret sharing schemes
    • Beimel, A., Chor, B.: Universally ideal secret sharing schemes. IEEE Trans. on Information Theory 40(3), 786-794 (1994)
    • (1994) IEEE Trans. on Information Theory , vol.40 , Issue.3 , pp. 786-794
    • Beimel, A.1    Chor, B.2
  • 2
    • 33745543756 scopus 로고    scopus 로고
    • Beimel, A., Livne, N.: On matroids and non-ideal secret sharing. In: Halevi, S., Rabin, T. (eds.) TCC 2006. LNCS, 3876, pp. 482-501, Springer, Heidelberg (2006)
    • Beimel, A., Livne, N.: On matroids and non-ideal secret sharing. In: Halevi, S., Rabin, T. (eds.) TCC 2006. LNCS, vol. 3876, pp. 482-501, Springer, Heidelberg (2006)
  • 4
    • 85027202957 scopus 로고
    • Generalized secret sharing and monotone functions
    • Goldwasser, S, ed, CRYPTO 1988, Springer, Heidelberg
    • Benaloh, J., Leichter, J.: Generalized secret sharing and monotone functions. In: Goldwasser, S. (ed.) CRYPTO 1988. LNCS, vol 403, pp. 27-35. Springer, Heidelberg (1990)
    • (1990) LNCS , vol.403 , pp. 27-35
    • Benaloh, J.1    Leichter, J.2
  • 7
    • 40249099762 scopus 로고    scopus 로고
    • Brickell, E.F.: Some ideal secret sharing schemes. Journal of Combin. Math, and Combin. Comput. 6, 105-113 (1989)
    • Brickell, E.F.: Some ideal secret sharing schemes. Journal of Combin. Math, and Combin. Comput. 6, 105-113 (1989)
  • 8
    • 0000849681 scopus 로고
    • On the classification of ideal secret sharing schemes
    • Brickell, E.F., Davenport, D.M.: On the classification of ideal secret sharing schemes. J. of Cryptology 4(73), 123-134 (1991)
    • (1991) J. of Cryptology , vol.4 , Issue.73 , pp. 123-134
    • Brickell, E.F.1    Davenport, D.M.2
  • 9
    • 0026992660 scopus 로고
    • Some improved bounds on the information rate of perfect secret sharing schemes
    • Brickell, E.F., Stinson, D.R.: Some improved bounds on the information rate of perfect secret sharing schemes. J. of Cryptology 5(3), 153-166 (1992)
    • (1992) J. of Cryptology , vol.5 , Issue.3 , pp. 153-166
    • Brickell, E.F.1    Stinson, D.R.2
  • 11
    • 0027239099 scopus 로고
    • Secret sharing over infinite domains
    • Chor, B., Kushilevitz, E.: Secret sharing over infinite domains. J. of Cryptology 6(2), 87-96 (1993)
    • (1993) J. of Cryptology , vol.6 , Issue.2 , pp. 87-96
    • Chor, B.1    Kushilevitz, E.2
  • 13
    • 0001607361 scopus 로고    scopus 로고
    • The size of a share must be large
    • Csirmaz, L.: The size of a share must be large. J. of Cryptology 10(4), 223-231 (1997)
    • (1997) J. of Cryptology , vol.10 , Issue.4 , pp. 223-231
    • Csirmaz, L.1
  • 16
    • 34249811774 scopus 로고    scopus 로고
    • Networks, matroids, and non-Shannon information inequalities
    • Dougherty, R., Freiling, C., Zeger, K.: Networks, matroids, and non-Shannon information inequalities. IEEE Trans. on Information Theory 53(6), 1949-1969 (2007)
    • (2007) IEEE Trans. on Information Theory , vol.53 , Issue.6 , pp. 1949-1969
    • Dougherty, R.1    Freiling, C.2    Zeger, K.3
  • 17
    • 0041692108 scopus 로고
    • Conditions for representability and transversability of matroids
    • Springer, Heidelberg
    • Ingleton, A.W.: Conditions for representability and transversability of matroids. In: Proc. Fr. Br. Conf 1970, pp. 62-67. Springer, Heidelberg (1971)
    • (1970) Proc. Fr. Br. Conf , pp. 62-67
    • Ingleton, A.W.1
  • 21
    • 84985848633 scopus 로고
    • Nonperfect secret sharing schemes and matroids
    • Helleseth, T, ed, EUROCRYPT 1993, Springer, Heidelberg
    • Kurosawa, K., Okada, K., Sakano, K., Ogata, W., Tsujii, S.: Nonperfect secret sharing schemes and matroids. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 126-141, Springer, Heidelberg (1994)
    • (1994) LNCS , vol.765 , pp. 126-141
    • Kurosawa, K.1    Okada, K.2    Sakano, K.3    Ogata, W.4    Tsujii, S.5
  • 23
    • 14644407439 scopus 로고    scopus 로고
    • Secret sharing schemes with three or four minimal qualified subsets
    • Martí-Farré, J., Padró, C.: Secret sharing schemes with three or four minimal qualified subsets. Designs, Codes and Cryptography 34(1), 17-34 (2005)
    • (2005) Designs, Codes and Cryptography , vol.34 , Issue.1 , pp. 17-34
    • Martí-Farré, J.1    Padró, C.2
  • 24
    • 40249087762 scopus 로고    scopus 로고
    • Martí-Farré, J., Padró, C.: On secret sharing schemes, matroids and polymatroids. In: Vadhan, S.P. (ed.) TCC 2007. LNCS, 4392, pp. 253-272. Springer, Heidelberg (2007)
    • Martí-Farré, J., Padró, C.: On secret sharing schemes, matroids and polymatroids. In: Vadhan, S.P. (ed.) TCC 2007. LNCS, vol. 4392, pp. 253-272. Springer, Heidelberg (2007)
  • 25
    • 40249083656 scopus 로고    scopus 로고
    • Martí-Farré, J., Padró, C.: On secret sharing schemes, matroids and polymatroids. Journal version of [24]. Technical Report 2006/077, Cryptology ePrint Archive (2006), http://eprint.iacr.org/
    • Martí-Farré, J., Padró, C.: On secret sharing schemes, matroids and polymatroids. Journal version of [24]. Technical Report 2006/077, Cryptology ePrint Archive (2006), http://eprint.iacr.org/
  • 26
    • 0345884729 scopus 로고    scopus 로고
    • Matroid representations by partitions
    • Matúš, F.: Matroid representations by partitions. Discrete Mathematics 203, 169-194 (1999)
    • (1999) Discrete Mathematics , vol.203 , pp. 169-194
    • Matúš, F.1
  • 27
    • 33846088151 scopus 로고    scopus 로고
    • Two constructions on limits of entropy functions
    • Matúš, F.: Two constructions on limits of entropy functions. IEEE Trans. on Information Theory 53(1), 320-330 (2007)
    • (2007) IEEE Trans. on Information Theory , vol.53 , Issue.1 , pp. 320-330
    • Matúš, F.1
  • 28
    • 0004061262 scopus 로고
    • Oxford University Press, Oxford
    • Oxley, J.G.: Matroid Theory. Oxford University Press, Oxford (1992)
    • (1992) Matroid Theory
    • Oxley, J.G.1
  • 29
    • 0039935716 scopus 로고
    • A forbidden minor characterization of matroid ports
    • Seymour, P.D.: A forbidden minor characterization of matroid ports. Quart. J. Math, Oxford Ser. 27, 407-413 (1976)
    • (1976) Quart. J. Math, Oxford Ser , vol.27 , pp. 407-413
    • Seymour, P.D.1
  • 31
  • 34
    • 40249095430 scopus 로고    scopus 로고
    • Vamos, P.: On the representation of independence structures (1968)(unpublished manuscript)
    • Vamos, P.: On the representation of independence structures (1968)(unpublished manuscript)
  • 36
    • 0032124111 scopus 로고    scopus 로고
    • On characterization of entropy function via information inequalities
    • Zhang, Z., Yeung, R. W.: On characterization of entropy function via information inequalities. IEEE Trans. on Information Theory 44(4), 1440-1452 (1998)
    • (1998) IEEE Trans. on Information Theory , vol.44 , Issue.4 , pp. 1440-1452
    • Zhang, Z.1    Yeung, R.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.