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

Author

N. J. A. Sloane

Keywords

• nonn
• fini
• full

Examples

			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.
		

References

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

Links

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

Programs

Magma

C:=QRCode(GF(2),47); W:=WeightEnumerator(C); W;