login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A085517 Weight enumerator of [16,7,6] extended BCH code. 3

%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 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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