A028384 Weight distribution of [ 47,24,11 ] binary quadratic-residue code.

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4324, 12972, 0, 0, 178365, 356730, 0, 0, 1664740, 2330636, 0, 0, 3840840, 3840840, 0, 0, 2330636, 1664740, 0, 0, 356730, 178365, 0, 0, 12972, 4324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

Offset

0,12

References

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

Links

Table of n, a(n) for n=0..47.

C. J. Tjhai and Martin Tomlinson, Weight Distributions of Quadratic Residue and Quadratic Double Circulant Codes over GF(2)

Example

x^47 + 4324*x^36*y^11 + 12972*x^35*y^12 + 178365*x^32*y^15 + 356730*x^31*y^16 +
1664740*x^28*y^19 + 2330636*x^27*y^20 + 3840840*x^24*y^23 + 3840840*x^23*y^24 +
2330636*x^20*y^27 + 1664740*x^19*y^28 + 356730*x^16*y^31 + 178365*x^15*y^32 +
12972*x^12*y^35 + 4324*x^11*y^36 + y^47.

Prog

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

Crossrefs

Sequence in context: A320729 A233641 A202787 * A107542 A300359 A299704

Adjacent sequences: A028381 A028382 A028383 * A028385 A028386 A028387

Keyword

nonn,fini,full

Author

N. J. A. Sloane.

Status

approved