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Volumn 43, Issue 1, 1997, Pages 308-313

Optimal linear codes of dimension 4 over F5

Author keywords

Minimum length bounds; Optimal q ary linear codes

Indexed keywords

COMBINATORIAL MATHEMATICS; ENCODING (SYMBOLS); MATHEMATICAL MODELS; OPTIMIZATION;

EID: 0030822450     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.567723     Document Type: Article
Times cited : (20)

References (31)
  • 1
    • 0026918097 scopus 로고
    • Optimum codes of dimension 3 and 4 over GF(4)
    • M. C. Bhandari and M. S. Garg., "Optimum codes of dimension 3 and 4 over GF(4)," IEEE Trans. Inform. Theory, vol. 38, pp. 1564-1567, 1992.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , pp. 1564-1567
    • Bhandari, M.C.1    Garg, M.S.2
  • 3
    • 0039097306 scopus 로고
    • A method for construction of good linear codes and its application to ternary and quaternary codes
    • Sozopol, Bulgaria, May 26-June 1
    • I. Boukliev, "A method for construction of good linear codes and its application to ternary and quaternary codes," in Proc. Int. Workshop on Optimal Codes and Related Topics (Sozopol, Bulgaria, May 26-June 1, 1995), pp. 15-20.
    • (1995) Proc. Int. Workshop on Optimal Codes and Related Topics , pp. 15-20
    • Boukliev, I.1
  • 5
    • 84894291639 scopus 로고    scopus 로고
    • The correspondence between projective codes and 2-weight codes
    • to be published
    • A. E. Brouwer and M. van Eupen, "The correspondence between projective codes and 2-weight codes," Des., Codes Cryptogr., to be published.
    • Des., Codes Cryptogr.
    • Brouwer, A.E.1    Van Eupen, M.2
  • 7
    • 0021506529 scopus 로고
    • Minimum block length of a linear q-ary code with specified dimension and code distance
    • S. M. Dodunekov, "Minimum block length of a linear q-ary code with specified dimension and code distance," Probl. Inform. Transm., vol 20, pp. 239-249, 1984.
    • (1984) Probl. Inform. Transm. , vol.20 , pp. 239-249
    • Dodunekov, S.M.1
  • 8
    • 0028204744 scopus 로고
    • Five new optimal ternary linear codes
    • Jan.
    • M. van Eupen, "Five new optimal ternary linear codes," IEEE Trans. Inform. Theory, vol. 40, p. 193, Jan. 1994.
    • (1994) IEEE Trans. Inform. Theory , vol.40 , pp. 193
    • Van Eupen, M.1
  • 10
    • 38149146558 scopus 로고
    • Optimal linear codes over GF(4)
    • P. P. Greenough and R. Hill, "Optimal linear codes over GF(4)", Discr. Math., vol. 125, pp. 187-199, 1994.
    • (1994) Discr. Math. , vol.125 , pp. 187-199
    • Greenough, P.P.1    Hill, R.2
  • 11
    • 0000210106 scopus 로고
    • A bound for error-corecting codes
    • J. H. Griesmer, "A bound for error-corecting codes", IBM. J Res. Develop., vol. 4, pp. 532-542, 1960.
    • (1960) IBM. J Res. Develop. , vol.4 , pp. 532-542
    • Griesmer, J.H.1
  • 12
    • 0007220586 scopus 로고
    • Ph.D. dissertation, Dept. Elec. Comput. Eng., University of Victoria
    • T. A. Gulliver, "Construction of quasicyclic codes," Ph.D. dissertation, Dept. Elec. Comput. Eng., University of Victoria, 1989.
    • (1989) Construction of Quasicyclic Codes
    • Gulliver, T.A.1
  • 13
    • 0002625083 scopus 로고
    • Characterization of minihypers in a finite projective geometry and its applications to error-correcting codes
    • N. Hamada, "Characterization of minihypers in a finite projective geometry and its applications to error-correcting codes," Bull. Osaka Women's Univ., vol. 24, pp. 1-24, 1987.
    • (1987) Bull. Osaka Women's Univ. , vol.24 , pp. 1-24
    • Hamada, N.1
  • 15
    • 0000593425 scopus 로고
    • Construction of optimal codes and optimal fractional factorial designs using linear programming
    • N. Hamada and F. Tamari, "Construction of optimal codes and optimal fractional factorial designs using linear programming," Ann. Discr. Math., vol. 6, pp. 175-188, 1980.
    • (1980) Ann. Discr. Math. , vol.6 , pp. 175-188
    • Hamada, N.1    Tamari, F.2
  • 17
    • 0009448213 scopus 로고
    • Optimal linear codes
    • C. Mitchell, Ed. Oxford, UK: Oxford Univ. Press
    • R. Hill, "Optimal linear codes," in Cryptography and Coding II, C. Mitchell, Ed. Oxford, UK: Oxford Univ. Press, 1992, pp. 75-104.
    • (1992) Cryptography and Coding II , pp. 75-104
    • Hill, R.1
  • 20
    • 0000893856 scopus 로고
    • Optimal ternary linear codes
    • R. Hill and D. E. Newton, "Optimal ternary linear codes," Des., Codes Cryptogr., vol. 2, pp. 137-157, 1992.
    • (1992) Des., Codes Cryptogr. , vol.2 , pp. 137-157
    • Hill, R.1    Newton, D.E.2
  • 26
    • 85045534797 scopus 로고    scopus 로고
    • On the nonexistence of linear codes attaining the Griesmer bound
    • to be published
    • T. Maruta, "On the nonexistence of linear codes attaining the Griesmer bound," Geometriae Dedicata, to be published.
    • Geometriae Dedicata
    • Maruta, T.1
  • 27
    • 0042652597 scopus 로고
    • On the nonexistence of linear codes of dimension four attaining the Griesmer bound
    • Sozopol, Bulgaria, May 26-June 1
    • _, "On the nonexistence of linear codes of dimension four attaining the Griesmer bound," in Proc. Int. Workshop on Optimal Codes and Related Topics (Sozopol, Bulgaria, May 26-June 1, 1995), pp. 117-120.
    • (1995) Proc. Int. Workshop on Optimal Codes and Related Topics , pp. 117-120
  • 30
    • 0000163235 scopus 로고
    • Algebraically punctured cyclic codes
    • G. Solomon and J. J. Stiffler, "Algebraically punctured cyclic codes," Inform. Contr., vol. 8, pp. 170-179, 1965.
    • (1965) Inform. Contr. , vol.8 , pp. 170-179
    • Solomon, G.1    Stiffler, J.J.2
  • 31
    • 0041641397 scopus 로고
    • The smallest length of binary 7-dimensional linear codes with prescribed minimum distance
    • H. C. A. van Tilborg, "The smallest length of binary 7-dimensional linear codes with prescribed minimum distance," Discr. Math., vol. 33, pp. 197-207, 1981.
    • (1981) Discr. Math. , vol.33 , pp. 197-207
    • Van Tilborg, H.C.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.