A028384 - OEIS

%I #7 Sep 08 2022 08:44:50

%S 1,0,0,0,0,0,0,0,0,0,0,4324,12972,0,0,178365,356730,0,0,1664740,

%T 2330636,0,0,3840840,3840840,0,0,2330636,1664740,0,0,356730,178365,0,

%U 0,12972,4324,0,0,0,0,0,0,0,0,0,0,1

%N Weight distribution of [ 47,24,11 ] binary quadratic-residue code.

%D F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier-North Holland, 1978, p. 494.

%H C. J. Tjhai and Martin Tomlinson, <a href="http://www.tech.plym.ac.uk/Research/fixed_and_mobile_communications/links/weightdistributions.htm">Weight Distributions of Quadratic Residue and Quadratic Double Circulant Codes over GF(2)</a>

%e x^47 + 4324*x^36*y^11 + 12972*x^35*y^12 + 178365*x^32*y^15 + 356730*x^31*y^16 +

%e 1664740*x^28*y^19 + 2330636*x^27*y^20 + 3840840*x^24*y^23 + 3840840*x^23*y^24 +

%e 2330636*x^20*y^27 + 1664740*x^19*y^28 + 356730*x^16*y^31 + 178365*x^15*y^32 +

%e 12972*x^12*y^35 + 4324*x^11*y^36 + y^47.

%o (Magma) C:=QRCode(GF(2),47); W<x,y>:=WeightEnumerator(C); W;

%K nonn,fini,full

%O 0,12

%A _N. J. A. Sloane_.