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A085517 Weight enumerator of [16,7,6] extended BCH code. 3


%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 Error-Correcting Codes, Elsevier-North Holland, 1978.

%D J. Simonis, Codes and semilinear spaces, pp. 518-528 of A. Barlotti et al., eds., Combinatorics `90, North-Holland 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 n-th Roots of Generating Functions</a>, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.

%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

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Last modified November 30 13:47 EST 2021. Contains 349420 sequences. (Running on oeis4.)