메뉴 건너뛰기




Volumn 37, Issue 3, 1991, Pages 552-555

Some Best Rate 1/P and Rate (P -1)/P Systematic Quasi-Cyclic Codes

Author keywords

nonexhaustive search technique; Quasi cYclic codes; tables of best code

Indexed keywords

BEST RATE CODES; ERROR CORRECTING CODES; LINEAR CODES; MINIMUM DISTANCE; NONEXHAUSTIVE SEARCH; QUASI-CYCLIC CODES;

EID: 0026157988     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/18.79911     Document Type: Article
Times cited : (64)

References (22)
  • 1
    • 0014601369 scopus 로고
    • Some results on quasi-cyclic codes
    • C. L. Chen, W. W. Peterson, and E. J. Weldon, Jr., “Some results on quasi-cyclic codes,” Inform. Contr., vol. 15, pp. 407–423, 1969.
    • (1969) Inform. Contr. , vol.15 , pp. 407-423
    • Chen, C.L.1    Peterson, W.W.2    Weldon, E.J.3
  • 2
    • 0016577536 scopus 로고
    • Weight distribution of some “Best” (3m,2m) binary quasi-cyclic codes
    • Nov.
    • J. M. Stein, V. K. Bhargava, and S. E. Tavares, “Weight distribution of some “Best” (3m,2m) binary quasi-cyclic codes,” IEEE Trans. Inform. Theory, vol. IT-21, no. 6, pp. 708–711, Nov. 1975.
    • (1975) IEEE Trans. Inform. Theory , vol.IT-21 , Issue.6 , pp. 708-711
    • Stein, J.M.1    Bhargava, V.K.2    Tavares, S.E.3
  • 3
    • 0018018391 scopus 로고
    • On quasi-cyclic codes with rate 1/m
    • Sept.
    • H. C. A. van Tilborg, “On quasi-cyclic codes with rate 1/m,” IEEE Trans. Inform. Theory, vol. IT-24, no. 5, pp. 628–629, Sept. 1978.
    • (1978) IEEE Trans. Inform. Theory , vol.IT-24 , Issue.5 , pp. 628-629
    • van Tilborg, H.C.A.1
  • 4
    • 0023415923 scopus 로고
    • An updated table of minimum-distance bounds for binary linear codes
    • Sept.
    • T. Verhoeff, “An updated table of minimum-distance bounds for binary linear codes,” IEEE Trans. Inform. Theory, vol. IT-33, no. 5, pp. 665–680, Sept. 1987.
    • (1987) IEEE Trans. Inform. Theory , vol.IT-33 , Issue.5 , pp. 665-680
    • Verhoeff, T.1
  • 5
  • 6
    • 0000848165 scopus 로고
    • Long quasi-cyclic codes are good
    • (abstract), Jan.
    • E. J. Weldon, Jr., “Long quasi-cyclic codes are good,” (abstract), IEEE Trans. Inform. Theory, vol. IT-13, no. 1, p. 130, Jan. 1970.
    • (1970) IEEE Trans. Inform. Theory , vol.IT-13 , Issue.1 , pp. 130
    • Weldon, E.J.1
  • 7
    • 0016100966 scopus 로고
    • A Gilbert-Varshamov bound for quasi-cyclic codes of rate 1/2
    • Sept.
    • T. Kasami, “A Gilbert-Varshamov bound for quasi-cyclic codes of rate 1/2,” IEEE Trans. Inform. Theory, vol. IT-20, no. 5, p. 679, Sept. 1974.
    • (1974) IEEE Trans. Inform. Theory , vol.IT-20 , Issue.5 , pp. 679
    • Kasami, T.1
  • 8
    • 0001728883 scopus 로고
    • Self-orthogonal quasi-cyclic codes
    • Apr.
    • R. L. Townsend and E. J. Weldon, Jr., “Self-orthogonal quasi-cyclic codes,” IEEE Trans. Inform. Theory, vol. IT-13, no. 2, pp. 183–195, Apr. 1967.
    • (1967) IEEE Trans. Inform. Theory , vol.IT-13 , Issue.2 , pp. 183-195
    • Townsend, R.L.1    Weldon, E.J.2
  • 9
    • 84910486314 scopus 로고
    • New binary coding results by circulants
    • Jan.
    • M. Karlin, “New binary coding results by circulants,” IEEE Trans. Inform. Theory, vol. IT-15, no. 1, pp. 81–92, Jan. 1969.
    • (1969) IEEE Trans. Inform. Theory , vol.IT-15 , Issue.1 , pp. 81-92
    • Karlin, M.1
  • 10
    • 0014870761 scopus 로고
    • Decoding of circulant codes
    • Nov.
    • M. Karlin, “Decoding of circulant codes,” IEEE Trans. Inform. Theory, vol. IT-16, no. 6, pp. 797–802, Nov. 1970.
    • (1970) IEEE Trans. Inform. Theory , vol.IT-16 , Issue.6 , pp. 797-802
    • Karlin, M.1
  • 11
    • 0018018466 scopus 로고
    • Some (mk, k) cyclic codes in quasi-cyclic form
    • Sept.
    • V. K. Bhargava, G. E. Seguin, and J. M. Stein, “Some (mk, k) cyclic codes in quasi-cyclic form,” IEEE Trans. Inform. Theory, vol. IT-24, no. 5, pp. 630–632, Sept. 1978.
    • (1978) IEEE Trans. Inform. Theory , vol.IT-24 , Issue.5 , pp. 630-632
    • Bhargava, V.K.1    Seguin, G.E.2    Stein, J.M.3
  • 12
    • 0018530717 scopus 로고
    • A connection between block codes and convolutional codes
    • Oct.
    • G. Solomon and H. C. A. van Tilborg, “A connection between block codes and convolutional codes,” SIAM J. Appl. Math., vol. 37, pp. 358–369, Oct. 1979.
    • (1979) SIAM J. Appl. Math. , vol.37 , pp. 358-369
    • Solomon, G.1    van Tilborg, H.C.A.2
  • 13
    • 0024121836 scopus 로고
    • Convolutional codes from quasi-cyclic codes: a link between the theories of block and convolutional codes
    • Kobe, Japan, June
    • R. M. Tanner, “Convolutional codes from quasi-cyclic codes: a link between the theories of block and convolutional codes,” in IEEE Int. Symp. Inform. Theory, Kobe, Japan, June 1988.
    • (1988) IEEE Int. Symp. Inform. Theory
    • Tanner, R.M.1
  • 14
    • 84886035565 scopus 로고
    • Distribution of cyclic matrices in a finite field
    • E. R. Berlekamp, “Distribution of cyclic matrices in a finite field,” Duke Math. J., vol. 33, pp. 45–48, 1966.
    • (1966) Duke Math. J. , vol.33 , pp. 45-48
    • Berlekamp, E.R.1
  • 16
    • 0014812183 scopus 로고
    • Circulant bases for cyclic codes
    • July
    • C. W. Hoffner and S. M. Reddy, “Circulant bases for cyclic codes,” IEEE Trans. Inform. Theory, vol. IT-16, no. 4, pp. 511–512, July 1970.
    • (1970) IEEE Trans. Inform. Theory , vol.IT-16 , Issue.4 , pp. 511-512
    • Hoffner, C.W.1    Reddy, S.M.2
  • 17
    • 0018292588 scopus 로고
    • Decomposition of cyclic codes of block lengths 3p, 5p, 7p
    • Jan.
    • F. J. MacWilliams, “Decomposition of cyclic codes of block lengths 3p,5p,7p,” IEEE Trans. Inform. Theory, vol. IT-25, no. 1, pp. 112–118, Jan. 1979.
    • (1979) IEEE Trans. Inform. Theory , vol.IT-25 , Issue.1 , pp. 112-118
    • MacWilliams, F.J.1
  • 18
    • 0016548870 scopus 로고
    • Equivalent rate 1/2 quasi-cyclic codes
    • Sept.
    • J. M. Stein and V. K. Bhargava, “Equivalent rate 1/2 quasi-cyclic codes,” IEEE Trans. Inform. Theory, vol. IT-21, no. 5, pp. 588–589, Sept. 1975.
    • (1975) IEEE Trans. Inform. Theory , vol.IT-21 , Issue.5 , pp. 588-589
    • Stein, J.M.1    Bhargava, V.K.2
  • 19
    • 0346381514 scopus 로고
    • Good linear codes of length 27 and 28
    • Mar.
    • P. Piret, “Good linear codes of length 27 and 28,” IEEE Trans. Inform. Theory, vol. IT-26, no. 3, p. 227, Mar. 1980.
    • (1980) IEEE Trans. Inform. Theory , vol.IT-26 , Issue.3 , pp. 227
    • Piret, P.1
  • 21
    • 0020749038 scopus 로고
    • The (151,136) 10th power residue code and its performance
    • May
    • V. K. Bhargava, “The (151,136) 10th power residue code and its performance,” Proc. IEEE, vol. 71, pp. 683–685, May 1983.
    • (1983) Proc. IEEE , vol.71 , pp. 683-685
    • Bhargava, V.K.1
  • 22
    • 0007220586 scopus 로고
    • Construction of quasi-cyclic codes
    • Ph.D. thesis, Univ. of Victoria, Victoria, BC, Canada
    • T. A. Gulliver, “Construction of quasi-cyclic codes,” Ph.D. thesis, Univ. of Victoria, Victoria, BC, Canada, 1989.
    • (1989)
    • Gulliver, T.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.