메뉴 건너뛰기




Volumn 223, Issue 1-3, 2000, Pages 135-155

Optimal binary linear codes of length ≤ 30

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0012965097     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(99)00135-1     Document Type: Article
Times cited : (28)

References (31)
  • 3
    • 0027555114 scopus 로고
    • An updated table of minimum-distance bounds for binary linear codes
    • Supplemented by on-line updates: information regarding [n,k,d] codes with fixed n,k is accessible over the World Wide Web via
    • A.E. Brouwer, T. Verhoeff, An updated table of minimum-distance bounds for binary linear codes. IEEE Trans. Inform. Theory 39 (1993), 662-677. Supplemented by on-line updates: information regarding [n,k,d] codes with fixed n,k is accessible over the World Wide Web via http : //www.win.tue.nl/~aeb/voorlincod.html.
    • (1993) IEEE Trans. Inform. Theory , vol.39 , pp. 662-677
    • Brouwer, A.E.1    Verhoeff, T.2
  • 4
    • 0345750291 scopus 로고
    • Codes from symmetry groups, and a [32,17,8] code
    • Y. Cheng, N.J.A. Sloane, Codes from symmetry groups, and a [32,17,8] code, SIAM J. Discrete Math. 2 (1989) 28-37.
    • (1989) SIAM J. Discrete Math. , vol.2 , pp. 28-37
    • Cheng, Y.1    Sloane, N.J.A.2
  • 6
    • 0039997144 scopus 로고
    • Uniqueness of some linear subcodes of the extended binary golay code
    • S.M. Dodunekov, S.B. Encheva, Uniqueness of some linear subcodes of the extended binary Golay code, Problems Inform. Transmission 29 (1993) 38-43.
    • (1993) Problems Inform. Transmission , vol.29 , pp. 38-43
    • Dodunekov, S.M.1    Encheva, S.B.2
  • 7
    • 0022146578 scopus 로고
    • An improvement of the Griesmer bound for some small minimum distances
    • S.M. Dodunekov, N.L. Manev, An improvement of the Griesmer bound for some small minimum distances, Discrete Appl. Math. 12 (1985) 103-114.
    • (1985) Discrete Appl. Math. , vol.12 , pp. 103-114
    • Dodunekov, S.M.1    Manev, N.L.2
  • 8
    • 0345750292 scopus 로고    scopus 로고
    • Reports in Informatics, University of Bergen
    • S.B. Encheva, Optimal binary linear codes, Reports in Informatics, University of Bergen, vol. 63, 1992.
    • Optimal Binary Linear Codes , vol.63 , pp. 1992
    • Encheva, S.B.1
  • 10
    • 0000499681 scopus 로고
    • Notes on digital coding
    • M.J.E. Golay, Notes on digital coding, Proc. IEEE 37 (1949) 657.
    • (1949) Proc. IEEE , vol.37 , pp. 657
    • Golay, M.J.E.1
  • 11
    • 0346381516 scopus 로고
    • Computerized search for linear binary codes
    • A.A. Hashim, V.S. Pozdniakov, Computerized search for linear binary codes, Electron. Lett. 12 (1976) 350-351.
    • (1976) Electron. Lett. , vol.12 , pp. 350-351
    • Hashim, A.A.1    Pozdniakov, V.S.2
  • 14
    • 10044258285 scopus 로고    scopus 로고
    • preprint (ongoing work), Version 0.5 (11/10/97). Accessible over the World Wide Web via
    • D.B. Jaffe, Binary linear codes: new results on nonexistence, preprint (ongoing work), Version 0.5 (11/10/97). Accessible over the World Wide Web via http://www.math.unl.edu/~ djaffe/codes/code.ps.gz or code.dvi.gz; see . ./~djaffe/binary/codeform.html for an online database, which is more frequently updated.
    • Binary Linear Codes: New Results on Nonexistence
    • Jaffe, D.B.1
  • 15
    • 84957809676 scopus 로고    scopus 로고
    • A brief tour of split linear programming
    • T. Mora, H. Mattson (Eds.), Proceedings AAECC 12, Springer, New York
    • D.B. Jaffe, A brief tour of split linear programming, in: T. Mora, H. Mattson (Eds.), Proceedings AAECC 12, Lecture Notes in Computer Science, vol. 1255, Springer, New York, 1997, pp. 164-173.
    • (1997) Lecture Notes in Computer Science , vol.1255 , pp. 164-173
    • Jaffe, D.B.1
  • 17
    • 84910486314 scopus 로고
    • New binary coding results by circulants
    • M. Karlin, New binary coding results by circulants, IEEE Trans. Inform. Theory 15 (1969) 81-92.
    • (1969) IEEE Trans. Inform. Theory , vol.15 , pp. 81-92
    • Karlin, M.1
  • 21
    • 0346381514 scopus 로고
    • Good linear codes of lengths 27 and 28
    • P. Piret, Good linear codes of lengths 27 and 28, IEEE Trans. Inform. Theory 26 (1980) 227.
    • (1980) IEEE Trans. Inform. Theory , vol.26 , pp. 227
    • Piret, P.1
  • 22
    • 85046527621 scopus 로고    scopus 로고
    • The [23,14,5] wagner code is unique
    • to appear
    • J. Simonis, The [23,14,5] Wagner code is unique, Discrete Mathematics, to appear.
    • Discrete Mathematics
    • Simonis, J.1
  • 23
    • 0023168703 scopus 로고
    • Binary even [25,15,6] codes do not exist
    • J. Simonis, Binary even [25,15,6] codes do not exist, IEEE Trans. Inform. Theory 33 (1987) 151-153.
    • (1987) IEEE Trans. Inform. Theory , vol.33 , pp. 151-153
    • Simonis, J.1
  • 24
    • 84915887824 scopus 로고
    • A description of the [16,7,6] codes
    • Springer, Berlin
    • J. Simonis, A description of the [16,7,6] codes, Lecture Notes in Computer Science, vol. 508, Springer, Berlin, 1991, pp. 24-35.
    • (1991) Lecture Notes in Computer Science , vol.508 , pp. 24-35
    • Simonis, J.1
  • 25
    • 0346381517 scopus 로고
    • Codes and semilinear spaces
    • North-Holland, Amsterdam
    • J. Simonis, Codes and semilinear spaces, in: Combinatorics '90, North-Holland, Amsterdam, 1992.
    • (1992) Combinatorics '90
    • Simonis, J.1
  • 26
    • 38249009322 scopus 로고
    • The [18,9,6] code is unique
    • J. Simonis, The [18,9,6] code is unique, Discrete Math. 106/107 (1992) 439-448.
    • (1992) Discrete Math. , vol.106-107 , pp. 439-448
    • Simonis, J.1
  • 28
    • 0043144240 scopus 로고
    • On the uniqueness resp. Nonexistence of certain codes meeting the Griesmer bound
    • H. van Tilborg, On the uniqueness resp. nonexistence of certain codes meeting the Griesmer bound, Inform. and Control 44 (1980) 16-35.
    • (1980) Inform. and Control , vol.44 , pp. 16-35
    • Van Tilborg, H.1
  • 29
    • 0043144225 scopus 로고
    • A remark concerning the minimum distance of binary group codes
    • T.J. Wagner, A remark concerning the minimum distance of binary group codes, IEEE Trans. Inform. Theory 11 (1965) 458.
    • (1965) IEEE Trans. Inform. Theory , vol.11 , pp. 458
    • Wagner, T.J.1
  • 31
    • 0000163235 scopus 로고
    • Algebraically punctured cyclic codes
    • G. Solomon, J.J. Stiffler, Algebraically punctured cyclic codes, Inform. and Control 8 (1965) 170-179.
    • (1965) Inform. and Control , vol.8 , pp. 170-179
    • Solomon, G.1    Stiffler, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.