%I
%S 1,0,0,48,30,48,0,0,1
%N Weight enumerator of [16,7,6] extended BCH code.
%C One of the three possible weight distributions for a [16,7,6] binary code.
%C The interspersed zeros have been omitted.
%D F. J. MacWilliams and N. J. A. Sloane, The Theory of ErrorCorrecting Codes, ElsevierNorth Holland, 1978.
%D J. Simonis, Codes and semilinear spaces, pp. 518528 of A. Barlotti et al., eds., Combinatorics `90, NorthHolland 1992.
%H N. Heninger, E. M. Rains and N. J. A. Sloane, <a href="http://arXiv.org/abs/math.NT/0509316">On the Integrality of nth Roots of Generating Functions</a>, J. Combinatorial Theory, Series A, 113 (2006), 17321745.
%e x^16 + 48*x^10*y^6 + 30*x^8*y^8 + 48*x^6*y^10 + y^16.
%o (MAGMA) C := BCHCode(GF(2),15,5); D:=ExtendCode(C); W<x,y>:=WeightEnumerator(D);
%Y Cf. A085518, A085519, A109475.
%K nonn,fini,full
%O 0,4
%A _N. J. A. Sloane_, Jul 03 2003
