OFFSET
0,4
COMMENTS
One of the three possible weight distributions for a [16,7,6] binary code.
The interspersed zeros have been omitted.
REFERENCES
F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978.
J. Simonis, Codes and semilinear spaces, pp. 518-528 of A. Barlotti et al., eds., Combinatorics `90, North-Holland 1992.
LINKS
N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
EXAMPLE
x^16 + 48*x^10*y^6 + 30*x^8*y^8 + 48*x^6*y^10 + y^16.
PROG
(Magma) C := BCHCode(GF(2), 15, 5); D:=ExtendCode(C); W<x, y>:=WeightEnumerator(D);
CROSSREFS
KEYWORD
nonn,fini,full
AUTHOR
N. J. A. Sloane, Jul 03 2003
STATUS
approved