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%I A085517 #7 Sep 08 2022 08:45:11
%S A085517 1,0,0,48,30,48,0,0,1
%N A085517 Weight enumerator of [16,7,6] extended BCH code.
%C A085517 One of the three possible weight distributions for a [16,7,6] binary code.
%C A085517 The interspersed zeros have been omitted.
%D A085517 F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978.
%D A085517 J. Simonis, Codes and semilinear spaces, pp. 518-528 of A. Barlotti et al., eds., Combinatorics `90, North-Holland 1992.
%H A085517 N. Heninger, E. M. Rains and N. J. A. Sloane, <a href="http://arXiv.org/abs/math.NT/0509316">On the Integrality of n-th Roots of Generating Functions</a>, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
%e A085517 x^16 + 48*x^10*y^6 + 30*x^8*y^8 + 48*x^6*y^10 + y^16.
%o A085517 (Magma) C := BCHCode(GF(2),15,5); D:=ExtendCode(C); W<x,y>:=WeightEnumerator(D);
%Y A085517 Cf. A085518, A085519, A109475.
%K A085517 nonn,fini,full
%O A085517 0,4
%A A085517 _N. J. A. Sloane_, Jul 03 2003

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