메뉴 건너뛰기




Volumn 6, Issue 3 PART 1, 2011, Pages 585-594

Strong secrecy on the binary erasure wiretap channel using large-girth LDPC codes

Author keywords

Binary erasure channels; density evolution; information theoretic security; large girth; low density parity check (LDPC) codes; secrecy capacity; strong secrecy; wiretap channels

Indexed keywords

BINARY ERASURE CHANNEL; DENSITY EVOLUTION; INFORMATION-THEORETIC SECURITY; LARGE GIRTH; LOW-DENSITY PARITY-CHECK CODES; SECRECY CAPACITY; STRONG SECRECY; WIRETAP CHANNEL;

EID: 80051775152     PISSN: 15566013     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIFS.2011.2148715     Document Type: Article
Times cited : (81)

References (38)
  • 1
    • 84890522850 scopus 로고
    • Communication theory of secrecy systems
    • Oct
    • C. Shannon, "Communication theory of secrecy systems", Bell Syst. Tech. J., vol. 28, pp. 656-715, Oct. 1949.
    • (1949) Bell Syst. Tech. J. , vol.28 , pp. 656-715
    • Shannon, C.1
  • 2
    • 0016562514 scopus 로고
    • The wire-tap channel
    • Oct
    • A. D. Wyner, "The wire-tap channel", Bell Syst. Tech. J., vol. 54, no. 8, pp. 1355-1367, Oct. 1975.
    • (1975) Bell Syst. Tech. J. , vol.54 , Issue.8 , pp. 1355-1367
    • Wyner, A.D.1
  • 3
    • 0017973511 scopus 로고
    • Broadcast channels with confidential messages
    • May
    • I. Csiszár and J. Körner, "Broadcast channels with confidential messages", IEEE Trans. Inf. Theory, vol. 24, no. 3, pp. 339-348, May 1978.
    • (1978) IEEE Trans. Inf. Theory , vol.24 , Issue.3 , pp. 339-348
    • Csiszár, I.1    Körner, J.2
  • 4
    • 84948960386 scopus 로고    scopus 로고
    • Information-theoretic key agreement: From weak to strong secrecy for free
    • Lecture Notes in Computer Science, B. Preneel, Ed. Berlin, Heidelberg, Germany: Springer
    • U. M. Maurer and S. Wolf, "Information-theoretic key agreement: From weak to strong secrecy for free", in Advances in Cryptology-Eurocrypt 2000, ser. Lecture Notes in Computer Science, B. Preneel, Ed. Berlin, Heidelberg, Germany: Springer, 2000, vol. 1807, pp. 351-368.
    • (2000) Advances in Cryptology-eurocrypt 2000, Ser. , vol.1807 , pp. 351-368
    • Maurer, U.M.1    Wolf, S.2
  • 5
    • 33750056552 scopus 로고    scopus 로고
    • Almost independence and secrecy capacity
    • Jan.-Mar
    • I. Csiszár, "Almost independence and secrecy capacity", Problems of Information Transmission, vol. 32, no. 1, pp. 40-47, Jan.-Mar. 1996.
    • (1996) Problems of Information Transmission , vol.32 , Issue.1 , pp. 40-47
    • Csiszár, I.1
  • 7
    • 0021595510 scopus 로고
    • Wire-tap channel II
    • Dec
    • L. H. Ozarow and A. D. Wyner, "Wire-tap channel II", Bell Labs Tech. J., vol. 63, no. 10, pp. 2135-2157, Dec. 1984.
    • (1984) Bell Labs Tech. J. , vol.63 , Issue.10 , pp. 2135-2157
    • Ozarow, L.H.1    Wyner, A.D.2
  • 9
    • 80051772031 scopus 로고    scopus 로고
    • Performance analysis and design of two edge type LDPC codes for the BEC wiretap channel
    • submitted for publication
    • V. Rathi, M. Andersson, R. Thobaben, J. Kliewer, and M. Skoglund, "Performance analysis and design of two edge type LDPC codes for the BEC wiretap channel", IEEE Trans. Inf. Theory, 2010, submitted for publication.
    • (2010) IEEE Trans. Inf. Theory
    • Rathi, V.1    Andersson, M.2    Thobaben, R.3    Kliewer, J.4    Skoglund, M.5
  • 14
    • 15044364240 scopus 로고    scopus 로고
    • Stopping set distribution of LDPC code ensembles
    • DOI 10.1109/TIT.2004.842571
    • A. Orlitsky, K. Viswanathan, and J. Zhang, "Stopping set distribution of LDPC code ensembles", IEEE Trans. Inf. Theory, vol. 51, no. 3, pp. 929-953, Mar. 2005. (Pubitemid 40377559)
    • (2005) IEEE Transactions on Information Theory , vol.51 , Issue.3 , pp. 929-953
    • Orlitsky, A.1    Viswanathan, K.2    Zhang, J.3
  • 21
    • 79952826859 scopus 로고    scopus 로고
    • Exchange of limits: Why iterative decoding works
    • Apr
    • S. B. Korada and R. L. Urbanke, "Exchange of limits: Why iterative decoding works", IEEE Trans. Inf. Theory, vol. 57, no. 4, pp. 2169-2187, Apr. 2011.
    • (2011) IEEE Trans. Inf. Theory , vol.57 , Issue.4 , pp. 2169-2187
    • Korada, S.B.1    Urbanke, R.L.2
  • 22
    • 85022368025 scopus 로고
    • Cages-A survey
    • P. Wong, "Cages-A survey", J. Graph Theory, vol. 6, no. 1, pp. 1-22, 1982.
    • (1982) J. Graph Theory , vol.6 , Issue.1 , pp. 1-22
    • Wong, P.1
  • 23
    • 0000471093 scopus 로고
    • Reguläre graphen gegebener taillenweite mit minimaler knotenzahl (Regular graphs with given girth and minimal number of nodes)
    • P. Erdos and H. Sachs, "Reguläre graphen gegebener taillenweite mit minimaler knotenzahl (Regular graphs with given girth and minimal number of nodes)", Wiss. Z. Martin-Luther-Univ. Halle-Wittenberg Math. Natur. Reihe, vol. 12, pp. 251-257, 1963.
    • (1963) Wiss. Z. Martin-luther-Univ. Halle-Wittenberg Math. Natur. Reihe , vol.12 , pp. 251-257
    • Erdos, P.1    Sachs, H.2
  • 24
    • 0042455686 scopus 로고
    • Extremaleigenschaften regulärer graphen gegebener taillenweite (Extremal regular graphs of a given girth), I and II, sitzungsberichteosterreich
    • N. Sauer, "Extremaleigenschaften regulärer graphen gegebener taillenweite (Extremal regular graphs of a given girth), I and II, sitzungsberichteosterreich", Acad. Wiss. Math. Natur. Kl., SB II, vol. 176, pp. 9-25, 1967.
    • (1967) Acad. Wiss. Math. Natur. Kl., SB II , vol.176 , pp. 9-25
    • Sauer, N.1
  • 27
    • 12544253129 scopus 로고    scopus 로고
    • Regular and irregular progressive edge-growth tanner graphs
    • DOI 10.1109/TIT.2004.839541
    • X.-Y. Hu, E. Eleftheriou, and D. Arnold, "Regular and irregular progressive edge-growth tanner graphs", IEEE Trans. Inf. Theory, vol. 51, no. 1, pp. 386-398, Jan. 2005. (Pubitemid 40151893)
    • (2005) IEEE Transactions on Information Theory , vol.51 , Issue.1 , pp. 386-398
    • Hu, X.-Y.1    Eleftheriou, E.2    Arnold, D.M.3
  • 28
    • 0041384099 scopus 로고    scopus 로고
    • A high girth graph construction
    • L. S. Chandran, "A high girth graph construction", SIAM J. Discret. Math., vol. 16, no. 3, pp. 366-370, 2003.
    • (2003) SIAM J. Discret. Math. , vol.16 , Issue.3 , pp. 366-370
    • Chandran, L.S.1
  • 30
    • 0011514730 scopus 로고
    • Explicit construction of graphs with an arbitrary large girth and of large size
    • F. Lazebnik and V. A. Ustimenko, "Explicit construction of graphs with an arbitrary large girth and of large size", Discrete Appl. Math., vol. 60, no. 1-3, pp. 275-284, 1995.
    • (1995) Discrete Appl. Math. , vol.60 , Issue.1-3 , pp. 275-284
    • Lazebnik, F.1    Ustimenko, V.A.2
  • 31
    • 0002588311 scopus 로고
    • A new series of dense graphs of high girth
    • F. Lazebnik, V. Ustimenko, and A. Woldar, "A new series of dense graphs of high girth", Amer. Math. Soc., vol. 32, no. 1, 1995.
    • (1995) Amer. Math. Soc. , vol.32 , Issue.1
    • Lazebnik, F.1    Ustimenko, V.2    Woldar, A.3
  • 32
    • 5144223774 scopus 로고    scopus 로고
    • Explicit construction of families of LDPC codes with no 4-cycles
    • Oct
    • J.-L. Kim, U. Peled, I. Perepelitsa, V. Pless, and S. Friedland, "Explicit construction of families of LDPC codes with no 4-cycles", IEEE Trans. Inf. Theory, vol. 50, no. 10, pp. 2378-2388, Oct. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.10 , pp. 2378-2388
    • Kim, J.-L.1    Peled, U.2    Perepelitsa, I.3    Pless, V.4    Friedland, S.5
  • 33
    • 51249182252 scopus 로고
    • Explicit constructions of graphs without short cycles and low density codes
    • G. Margulis, "Explicit constructions of graphs without short cycles and low density codes", Combinatorica, vol. 2, no. 1, pp. 71-78, 1982.
    • (1982) Combinatorica , vol.2 , Issue.1 , pp. 71-78
    • Margulis, G.1
  • 34
    • 0034857480 scopus 로고    scopus 로고
    • Constructions of regular and irregular LDPC codes using Ramanujan graphs and ideas from Margulis
    • J. Rosenthal and P. Vontobel, "Constructions of regular and irregular LDPC codes using Ramanujan graphs and ideas from Margulis", in Proc. 2001 IEEE Int. Symp. Information Theory, 2001, pp. 4-4.
    • (2001) Proc. 2001 IEEE Int. Symp. Information Theory , pp. 4-4
    • Rosenthal, J.1    Vontobel, P.2
  • 37
    • 0036913621 scopus 로고    scopus 로고
    • Capacity-achieving sequences for the erasure channel
    • Dec
    • P. Oswald and A. Shokrollahi, "Capacity-achieving sequences for the erasure channel", IEEE Trans. Inf. Theory, vol. 48, no. 12, pp. 3017-3028, Dec. 2002.
    • (2002) IEEE Trans. Inf. Theory , vol.48 , Issue.12 , pp. 3017-3028
    • Oswald, P.1    Shokrollahi, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.