메뉴 건너뛰기




Volumn 40, Issue 3, 1994, Pages 754-763

Perfect Binary Codes: Constructions, Properties, and Enumeration

Author keywords

intersection of codes; Perfect codes; perfect tilings; weight distribution

Indexed keywords

CODES (SYMBOLS); COMPUTATIONAL COMPLEXITY; INFORMATION THEORY; MATHEMATICAL MODELS; RANDOM NUMBER GENERATION; VECTORS;

EID: 0028427354     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/18.335887     Document Type: Article
Times cited : (102)

References (15)
  • 1
    • 51249185765 scopus 로고
    • Algebraic techniques for nonlinear codes
    • H. Bauer, B. Ganter, and F. Hergert, “Algebraic techniques for nonlinear codes,” Combinatorica, vol. 3, 21-33, 1983.
    • (1983) Combinatorica , vol.3
    • Bauer, H.1    Ganter, B.2    Hergert, F.3
  • 3
    • 0015735548 scopus 로고
    • Four fundamental parameters of a code and their combinatorial significance
    • P. Delsarte, “Four fundamental parameters of a code and their combinatorial significance,” Inform. Control, vol. 23, pp. 407-438, 1973.
    • (1973) Inform. Control , vol.23 , pp. 407-438
    • Delsarte, P.1
  • 4
    • 0004253247 scopus 로고
    • Calculus of Finite Differences
    • New York: Chelsea
    • R. Jordan, Calculus of Finite Differences. New York: Chelsea, 1960.
    • (1960)
    • Jordan, R.1
  • 5
    • 4243064833 scopus 로고
    • Nonexistence theorems for perfect error-correcting-codes
    • J. H. van Lint, “Nonexistence theorems for perfect error-correcting-codes,” in Computers in Algebra and Number Theory, vol. IV, SIAM-AMS Proceedings, 1971.
    • (1971) Computers in Algebra and Number Theory , vol.4
    • van Lint, J.H.1
  • 6
    • 0001145044 scopus 로고
    • Error correcting codes for multiple level transmission
    • F. J. MacWilliams, “Error correcting codes for multiple level transmission,” Bell Syst. Tech. J., vol. 40, pp. 281-308, 1961.
    • (1961) Bell Syst. Tech. J. , vol.40 , pp. 281-308
    • MacWilliams, F.J.1
  • 7
    • 0003525990 scopus 로고
    • The Theory of Error-Correcting Codes
    • New York: North-Holland
    • F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes. New York: North-Holland, 1977.
    • (1977)
    • MacWilliams, F.J.1    Sloane, N.J.A.2
  • 8
    • 0042142306 scopus 로고
    • A generalized parity function and its use in the construction of perfect codes
    • M. Mollard, “A generalized parity function and its use in the construction of perfect codes,” SIAM J. Alg. Disc. Meth., vol. 7, pp. 113-115, 1986.
    • (1986) SIAM J. Alg. Disc. Meth. , vol.7 , pp. 113-115
    • Mollard, M.1
  • 9
    • 0040713221 scopus 로고
    • A combinatorial construction of perfect codes
    • K. T. Phelps, “A combinatorial construction of perfect codes,” SIAM J. Alg. Disc. Meth., vol. 4, pp. 398-403, 1983.
    • (1983) SIAM J. Alg. Disc. Meth. , vol.4 , pp. 398-403
    • Phelps, K.T.1
  • 10
    • 0004868403 scopus 로고
    • A general product construction for error-correcting codes
    • K. T. Phelps, “A general product construction for error-correcting codes,” SIAM J. Alg. Disc. Meth., vol. 5, pp. 224-228, 1984.
    • (1984) SIAM J. Alg. Disc. Meth. , vol.5 , pp. 224-228
    • Phelps, K.T.1
  • 11
    • 0004840936 scopus 로고
    • On binary nongroup codes
    • F. I. Solov'eva, “On binary nongroup codes,” Methodi Diskr. Analiza, vol. 37, pp. 65-76, 1981, (in Russian).
    • (1981) Methodi Diskr. Analiza , vol.37 , pp. 65-76
    • Solov'eva, F.I.1
  • 12
    • 0001920780 scopus 로고
    • On the nonexistence of perfect codes over finite fields
    • A. Tietavainen, “On the nonexistence of perfect codes over finite fields,” SIAM J. Appl. Math., vol. 24, pp. 88-96, 1973.
    • (1973) SIAM J. Appl. Math. , vol.24 , pp. 88-96
    • Tietavainen, A.1
  • 13
    • 0041007872 scopus 로고
    • On nongroup close-packed codes
    • J. L. Vasil'ev, “On nongroup close-packed codes,” Probl. Kibernet., vol. 8, pp. 375-378, 1962, (in Russian).
    • (1962) Probl. Kibernet. , vol.8 , pp. 375-378
    • Vasil'ev, J.L.1
  • 14
    • 79955432389 scopus 로고
    • personal communication
    • G. Zemor, personal communication, 1992.
    • (1992)
    • Zemor, G.1
  • 15
    • 0015764354 scopus 로고
    • The nonexistence of perfect codes over Galois fields
    • V. A. Zinov'ev and V. K. Leont'ev, “The nonexistence of perfect codes over Galois fields,” Probl. Control and Info. Theory, vol. 2, pp. 123-132, 1973, (in Russian).
    • (1973) Probl. Control and Info. Theory , vol.2 , pp. 123-132
    • Zinov'ev, V.A.1    Leont'ev, V.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.