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Volumn , Issue , 2006, Pages 287-291

Asymptotic improvement of the Gilbert-Varshamov bound for binary linear codes

Author keywords

Double circulant codes; Gilbert Varshamov bound; Linear codes; Random coding

Indexed keywords

DOUBLE CIRCULANT CODES; GILBERT-VARSHAMOV BOUND; GILBERT-VARSHAMOV BOUNDS; HAMMING BALL; LINEAR CODES; RANDOM CODING;

EID: 34547440660     PISSN: 21578101     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIT.2006.261851     Document Type: Conference Paper
Times cited : (13)

References (15)
  • 1
    • 0014601369 scopus 로고
    • Some results on quasicyclic codes
    • C. L. Chen, W. W. Peterson and E. J. Weldon, "Some results on quasicyclic codes," Inform. Control, Vol. 15, no. 5, pp. 407-423, 1969.
    • (1969) Inform. Control , vol.15 , Issue.5 , pp. 407-423
    • Chen, C.L.1    Peterson, W.W.2    Weldon, E.J.3
  • 2
    • 0026628587 scopus 로고
    • New lower bounds for minimum distance of linear quasi-cyclic and almost linear cyclic codes
    • V. V. Chepyzhov, "New lower bounds for minimum distance of linear quasi-cyclic and almost linear cyclic codes," Problemy Peredachi Informatsii, Vol. 28, no 1, pp. 39-51, 1992.
    • (1992) Problemy Peredachi Informatsii , vol.28 , Issue.1 , pp. 39-51
    • Chepyzhov, V.V.1
  • 4
    • 0001287361 scopus 로고
    • A comparison of signalling alphabets
    • E. N. Gilbert, " A comparison of signalling alphabets", Bell. Sys. Tech. J., 31, pp. 504-522, 1952.
    • (1952) Bell. Sys. Tech. J , vol.31 , pp. 504-522
    • Gilbert, E.N.1
  • 5
    • 3943069786 scopus 로고    scopus 로고
    • Asymptotic improvement of the GilbertVarshamov bound on the size of binary codes
    • T. Jiang and A. Vardy, "Asymptotic improvement of the GilbertVarshamov bound on the size of binary codes," IEEE Trans. Inf. Theory, Vol. 50, no. 8, pp. 1655-1664, 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.8 , pp. 1655-1664
    • Jiang, T.1    Vardy, A.2
  • 6
    • 39049140831 scopus 로고
    • On the existence of good cyclic almost linear codes over non prime fields
    • G. A. Kabatiyanskii, "On the existence of good cyclic almost linear codes over non prime fields", Problemy Peredachi Informatsii, Vol. 13, no 3, pp. 18-21, 1977.
    • (1977) Problemy Peredachi Informatsii , vol.13 , Issue.3 , pp. 18-21
    • Kabatiyanskii, G.A.1
  • 7
    • 84910486314 scopus 로고
    • New binary coding results by circulant
    • M. Karlin, " New binary coding results by circulant", IEEE Trans. Inform. Theory 15, pp. 81-92, 1969.
    • (1969) IEEE Trans. Inform. Theory , vol.15 , pp. 81-92
    • Karlin, M.1
  • 8
    • 0016100966 scopus 로고
    • A Gilbert-Varshamov bound for quasi-cyclic codes of rate 1/2
    • T. Kasami, "A Gilbert-Varshamov bound for quasi-cyclic codes of rate 1/2," IEEE Trans. Inf. Theory, Vol. 20, no. 5, pp. 679-679, 1974.
    • (1974) IEEE Trans. Inf. Theory , vol.20 , Issue.5 , pp. 679-679
    • Kasami, T.1
  • 9
    • 4544375373 scopus 로고    scopus 로고
    • M. Krivelevich, S. Litsyn, A. Vardy, A lower bound on the density of sphere packings via graph theory, Int. Math. Res. Not, no. 43, 22712279, 2004.
    • M. Krivelevich, S. Litsyn, A. Vardy, "A lower bound on the density of sphere packings via graph theory", Int. Math. Res. Not, no. 43, 22712279, 2004.
  • 10
    • 39049135447 scopus 로고
    • On codes with prescribed group of symmetry
    • E. Krouk, "On codes with prescribed group of symmetry," Voprosy Kibernetiki, Vol. 34, pp. 105-112, 1977.
    • (1977) Voprosy Kibernetiki , vol.34 , pp. 105-112
    • Krouk, E.1
  • 13
    • 84859625236 scopus 로고
    • Modular curves, Shimura curves and Goppa codes better than Varshamov-Gilbert bound
    • M. A. Tsfasman, S.G. Vladuts and Zink, "Modular curves, Shimura curves and Goppa codes better than Varshamov-Gilbert bound", Math. Nach., 104, pp. 13-28, 1982.
    • (1982) Math. Nach , vol.104 , pp. 13-28
    • Tsfasman, M.A.1    Vladuts, S.G.2    Zink3
  • 14
    • 0000479182 scopus 로고
    • Estimate of the number of signals in error-correcting codes
    • in Russian
    • R.R. Varshamov, "Estimate of the number of signals in error-correcting codes", Dokl. Acad. Nauk, 117, pp. 739-741, 1957 (in Russian).
    • (1957) Dokl. Acad. Nauk , vol.117 , pp. 739-741
    • Varshamov, R.R.1
  • 15
    • 26444610674 scopus 로고    scopus 로고
    • Improving the Gilbert-Varshamov bound for q-ary codes
    • V. Vu and L. Wu, "Improving the Gilbert-Varshamov bound for q-ary codes", IEEE Trans. Inf. Theo., 51 (9), pp. 3200-3208, 2005
    • (2005) IEEE Trans. Inf. Theo , vol.51 , Issue.9 , pp. 3200-3208
    • Vu, V.1    Wu, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.