메뉴 건너뛰기




Volumn 44, Issue 2, 1998, Pages 580-598

Entropy/length profiles, bounds on the minimal covering of bipartite graphs, and trellis complexity of nonlinear codes

Author keywords

Bipartite graphs; Complete graphs; Entropy; Entropy length profiles; Mutual information; Nonlinear codes; Trellis complexity

Indexed keywords

COMPUTATIONAL COMPLEXITY; GRAPH THEORY; INFORMATION THEORY; MATHEMATICAL MODELS; PROBABILITY; TRELLIS CODES;

EID: 0032026258     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.661506     Document Type: Article
Times cited : (13)

References (29)
  • 1
    • 0016037512 scopus 로고
    • Optimal decoding of linear codes for minimizing symbol error rate
    • Mar.
    • L. R. Bahl, J. Cocke, F. Jelinek, and J. Raviv, "Optimal decoding of linear codes for minimizing symbol error rate," IEEE Trans. Inform. Theory, vol. IT-20, pp. 284-287, Mar. 1974.
    • (1974) IEEE Trans. Inform. Theory , vol.IT-20 , pp. 284-287
    • Bahl, L.R.1    Cocke, J.2    Jelinek, F.3    Raviv, J.4
  • 2
    • 0030283870 scopus 로고    scopus 로고
    • The twisted squaring construction, trellis complexity, and generalized weights of BCH and QR codes
    • Nov.
    • Y. Berger and Y. Be'ery, "The twisted squaring construction, trellis complexity, and generalized weights of BCH and QR codes," IEEE Trans. Inform. Theory, vol. 42, pp. 1817-1827, Nov. 1996.
    • (1996) IEEE Trans. Inform. Theory , vol.42 , pp. 1817-1827
    • Berger, Y.1    Be'ery, Y.2
  • 3
    • 0019079806 scopus 로고
    • Binary codes with a minimum distance of four
    • Nov.
    • M. R. Best, "Binary codes with a minimum distance of four," IEEE Trans. Inform. Theory, vol. IT-26, pp. 738-742, Nov. 1980.
    • (1980) IEEE Trans. Inform. Theory , vol.IT-26 , pp. 738-742
    • Best, M.R.1
  • 4
    • 84941860379 scopus 로고
    • Coset codes - Part II: Binary lattices and related codes
    • Sept.
    • G. D. Forney, Jr., "Coset codes - Part II: Binary lattices and related codes)," IEEE Trans. Inform. Theory, vol. 34, pp. 1152-1187, Sept. 1988.
    • (1988) IEEE Trans. Inform. Theory , vol.34 , pp. 1152-1187
    • Forney Jr., G.D.1
  • 5
    • 0028547151 scopus 로고
    • Dimension/length profiles and trellis complexity of linear block codes
    • Nov.
    • _, "Dimension/length profiles and trellis complexity of linear block codes," IEEE Trans. Inform. Theory, vol. 40, pp. 1741-1752, Nov. 1994.
    • (1994) IEEE Trans. Inform. Theory , vol.40 , pp. 1741-1752
  • 6
    • 0027668052 scopus 로고
    • The dynamics of group codes: State spaces, trellis diagrams, and canonical encoders
    • Sept.
    • G. D. Forney, Jr., and M. D. Trott, "The dynamics of group codes: State spaces, trellis diagrams, and canonical encoders," IEEE Trans. Inform. Theory, vol. 39, pp. 1491-1513, Sept. 1993.
    • (1993) IEEE Trans. Inform. Theory , vol.39 , pp. 1491-1513
    • Forney Jr., G.D.1    Trott, M.D.2
  • 10
    • 84916284602 scopus 로고
    • Two improved block codes
    • July
    • D. Julin, "Two improved block codes," IEEE Trans. Inform. Theory, vol. IT-11, p. 459, July 1965.
    • (1965) IEEE Trans. Inform. Theory , vol.IT-11 , pp. 459
    • Julin, D.1
  • 11
    • 0027257044 scopus 로고
    • On the optimum bit orders with respect to the state complexity of trellis diagrams for binary linear codes
    • Jan.
    • T. Kasami, T. Takata, T. Fujiwara, and S. Lin, "On the optimum bit orders with respect to the state complexity of trellis diagrams for binary linear codes," IEEE Trans. Inform. Theory, vol. 39, pp. 242-245, Jan. 1993.
    • (1993) IEEE Trans. Inform. Theory , vol.39 , pp. 242-245
    • Kasami, T.1    Takata, T.2    Fujiwara, T.3    Lin, S.4
  • 12
    • 0027596646 scopus 로고
    • On complexity of trellis structure of linear block codes
    • May
    • _, "On complexity of trellis structure of linear block codes," IEEE Trans. Inform. Theory, vol. 39, pp. 1057-1064, May 1993.
    • (1993) IEEE Trans. Inform. Theory , vol.39 , pp. 1057-1064
  • 13
    • 0027266602 scopus 로고
    • On the construction and dimensionality of linear block code trellises
    • San Antonio, TX, Jan. 17-22
    • A. D. Kot and C. Leung, "On the construction and dimensionality of linear block code trellises," in Proc. 1993 IEEE Int. Symp. on Information Theory (San Antonio, TX, Jan. 17-22, 1993), p. 291.
    • (1993) Proc. 1993 IEEE Int. Symp. on Information Theory , pp. 291
    • Kot, A.D.1    Leung, C.2
  • 14
    • 0030284121 scopus 로고    scopus 로고
    • The trellis structure of maximal fixed-cost codes
    • Nov.
    • F. R. Kschischang, "The trellis structure of maximal fixed-cost codes," IEEE Trans. Inform. Theory, vol. 42, pp. 1828-1838, Nov. 1996.
    • (1996) IEEE Trans. Inform. Theory , vol.42 , pp. 1828-1838
    • Kschischang, F.R.1
  • 15
    • 0029407106 scopus 로고
    • On the trellis structure of block codes
    • Nov.
    • F. R. Kschischang and V. Sorokine, "On the trellis structure of block codes," IEEE Trans. Inform. Theory, vol. 41, pp. 1924-1937, Nov. 1995.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 1924-1937
    • Kschischang, F.R.1    Sorokine, V.2
  • 16
    • 0029409022 scopus 로고
    • Lower bounds on trellis complexity of block codes
    • Nov.
    • A. Lafourcade and A. Vardy, "Lower bounds on trellis complexity of block codes," IEEE Trans. Inform. Theory, vol. 41, pp. 1938-1954, Nov. 1995.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 1938-1954
    • Lafourcade, A.1    Vardy, A.2
  • 17
    • 0029409023 scopus 로고
    • On bit-level trellis of Reed-Muller codes
    • Nov.
    • C.-C. Lu and S.-H. Huang, "On bit-level trellis of Reed-Muller codes," IEEE Trans. Inform. Theory, vol. 41, pp. 2061-2064, Nov. 1995.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 2061-2064
    • Lu, C.-C.1    Huang, S.-H.2
  • 20
    • 0030195678 scopus 로고    scopus 로고
    • On the BCJR trellis for linear block codes
    • July
    • R. J. McEliece, "On the BCJR trellis for linear block codes," IEEE Trans. Inform. Theory, vol. 42, pp. 1072-1092, July 1996.
    • (1996) IEEE Trans. Inform. Theory , vol.42 , pp. 1072-1092
    • McEliece, R.J.1
  • 21
    • 0024078703 scopus 로고
    • Minimal trellises for block codes
    • Sept.
    • D. J. Muder, "Minimal trellises for block codes," IEEE Trans. Inform. Theory, vol. 34, pp. 1049-1053, Sept. 1988.
    • (1988) IEEE Trans. Inform. Theory , vol.34 , pp. 1049-1053
    • Muder, D.J.1
  • 22
    • 33746816524 scopus 로고    scopus 로고
    • The Euler characteristic of the minimal code trellis is maximum
    • Mar.
    • V. R. Sidorenko, "The Euler characteristic of the minimal code trellis is maximum," Probl. Inform. Transm., vol. 33, no. 1, pp. 12-11, Mar. 1997.
    • (1997) Probl. Inform. Transm. , vol.33 , Issue.1 , pp. 12-111
    • Sidorenko, V.R.1
  • 24
    • 0028514913 scopus 로고
    • The Nordstrom-Robinson code: Representation over GF(4) and efficient decoding
    • Sept.
    • A. Vardy, "The Nordstrom-Robinson code: Representation over GF(4) and efficient decoding," IEEE Trans. Inform. Theory, vol. 40, pp. 1686-1693, Sept. 1994.
    • (1994) IEEE Trans. Inform. Theory , vol.40 , pp. 1686-1693
    • Vardy, A.1
  • 25
    • 0028388409 scopus 로고
    • Maximum-likelihood soft decision decoding of BCH codes
    • Mar.
    • A. Vardy and Y. Be'ery, "Maximum-likelihood soft decision decoding of BCH codes," IEEE Trans. Inform. Theory, vol. 40, pp. 546-554, Mar. 1994.
    • (1994) IEEE Trans. Inform. Theory , vol.40 , pp. 546-554
    • Vardy, A.1    Be'ery, Y.2
  • 26
    • 0030284362 scopus 로고    scopus 로고
    • Proof of a conjecture of McEliece regarding the expansion index of the minimal trellis
    • Nov.
    • A. Vardy and F. R. Kschischang, "Proof of a conjecture of McEliece regarding the expansion index of the minimal trellis," IEEE Trans. Inform. Theory, vol. 42, pp. 2027-2034, Nov. 1996.
    • (1996) IEEE Trans. Inform. Theory , vol.42 , pp. 2027-2034
    • Vardy, A.1    Kschischang, F.R.2
  • 28
    • 0017922440 scopus 로고
    • Efficient maximum likelihood decoding of linear block codes using a trellis
    • Jan.
    • J. K. Wolf, "Efficient maximum likelihood decoding of linear block codes using a trellis," IEEE Trans. Inform. Theory, vol. IT-24, pp. 76-80, Jan. 1978.
    • (1978) IEEE Trans. Inform. Theory , vol.IT-24 , pp. 76-80
    • Wolf, J.K.1
  • 29
    • 0027629275 scopus 로고
    • Bounds on complexity of trellis decoding of linear block codes
    • V. V. Zyablov and V. R. Sidorenko, "Bounds on complexity of trellis decoding of linear block codes," Probl. Pered. Inform., vol. 29, pp. 3-9, 1993.
    • (1993) Probl. Pered. Inform. , vol.29 , pp. 3-9
    • Zyablov, V.V.1    Sidorenko, V.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.