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 A001382 Weight distribution of ternary [ 24,12,9 ] quadratic residue code (also of Pless symmetry code). 1

%I #11 Sep 08 2022 08:44:29

%S 1,0,0,4048,61824,242880,198352,24288,48

%N Weight distribution of ternary [ 24,12,9 ] quadratic residue code (also of Pless symmetry code).

%D F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 620.

%H G. Nebe, E. M. Rains and N. J. A. Sloane, <a href="http://neilsloane.com/doc/cliff2.html">Self-Dual Codes and Invariant Theory</a>, Springer, Berlin, 2006.

%e x^24 + 4048*x^15*y^9 + 61824*x^12*y^12 + 242880*x^9*y^15 + 198352*x^6*y^18 + 24288*x^3*y^21 + 48*y^24.

%o (Magma) C:=QRCode(GF(3), 23); D:=ExtendCode(C); W<x,y>:=WeightEnumerator(D); W;

%Y Cf. A112641 (cyclic version).

%K nonn,fini,full

%O 0,4

%A _N. J. A. Sloane_

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Last modified September 7 19:14 EDT 2024. Contains 375749 sequences. (Running on oeis4.)