Nonequivalent q-ary perfect codes

SIAM Journal on Discrete Mathematics

Volumn 9, Issue 3, 1996, Pages 413-423

  Etzion, Tuvi ^a,b  

^a UNIVERSITY OF LONDON   (United Kingdom)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Hamming codes; Isomorphism; Nonequivalent codes; Perfect codes

Indexed keywords

ERROR CORRECTING CODE; HAMMING CODE; PERFECT CODE;

GRAPH THEORY;

EID: 0030353997     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895480194277903     Document Type: Article

References (9)

1. T. ETZION AND A. VARDY, Perfect codes: Constructions, properties and enumeration, IEEE Trans. Inform. Theory, 40 (1994), pp. 754-763.
2. B. LINDSTRÖM, On group and non-group perfect codes in q symbols, Math. Scand., 25 (1969), pp. 149-158.
3. F. J. MACWILLIAMS AND N. J. A. SLOANE, The Theory of Error Correcting Codes, North-Holland, Amsterdam, 1977.
4. M. MOLLARD, A generalized parity function and its use in the construction of perfect codes, SIAM J. Alg. Disc. Meth., 7 (1986), pp. 113-115.
5. K. T. PHELPS, A combinatorial construction of perfect codes, SIAM J. Alg. Disc. Meth., 4 (1983), pp. 398-403.
6. _, A general product construction for error-correcting codes, SIAM J. Alg. Disc. Meth., 5 (1984), pp. 224-228.
7. _, A product construction for perfect codes over arbitrary alphabets, IEEE Trans. Inform. Theory, 30 (1984), pp. 769-771.
8. K. T. PHELPS AND M. LEVAN, Kernels of nonlinear hamming codes, Des. Codes Cryptogr., 6 (1995), pp. 247-257.
9. J. SCHÖNHEIM, On linear and nonlinear single-error-correcting q-ary perfect codes, Inform. and Control, 12 (1968), pp. 23-26.